Abstract (English) - Faculty of Science

Transcription

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SKSM23
SKSM23
2015
Simposium Kebangsaan Sains Matematik ke-23
24-26 November 2015
Universiti Teknologi Malaysia
Johor Bahru
BUKU ABSTRAK
Versi Bahasa Inggeris
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Memacu Transformasi Negara Melalui
Sains Matematik
http://science.utm.my/sksm23
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Abstract
Simposium Kebangsaan Sains
Matematik ke – 23
24 – 26 November 2015
Scientific Secretariat 23rd SKSM
Department of Mathematical Sciences, Faculty of Science
SKSM23
UTM, Johor Bahru
Simposium Kebangsaan Sains Matematik
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Contents
APPLIED & INDUSTRIAL MATHEMATICS
1) Bai Bithaman Ajil (Bba) Modelling By Qardhul Hassan Concept . . . . . . . . . . . . . .
2) Robust Optimization Profit Sharing Ratio With Straight Line Depreciation Modelling . .
3) Using the Adaptive Neuro-Fuzzy Inference System (ANFIS) in Modeling the Survival of
Diabetes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
4) Integration Of Fuzzy Logic And Neural Network . . . . . . . . . . . . . . . . . . . . . . .
5) Group Iterative Methods For The Solution of Two-Dimensional Time-Fractional DiÆusion
Equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
6) Simulation Of Undular Bores Propagation With Damping . . . . . . . . . . . . . . . . . .
7) Self Organizing Map As A Tool For Cluster Analysis . . . . . . . . . . . . . . . . . . . . .
8) The Use Of Artificial Neural Network And Multiple Linear Regressions For Stock Market
Forecasting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
9) Solving Robin Problem In Bounded Doubly Connected Regions Via An Integr Equation
With The Generalized Neumann Kernel . . . . . . . . . . . . . . . . . . . . . . . . . . . .
10) The Method Of Lines Solution Of The Forced Korteweg-De Vries-Burgers Equation With
Variable Coe±cient (FKdVB) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
11) Mathematical Modelling Of Fluid Flow Under EÆect Of Sclera Buckling . . . . . . . . . .
12) Modeling Minority Classes Of Stencil Printing Process Defects With Machine Learning
Algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
13) Accelerating Activation Function In Higher Order Logic Programming . . . . . . . . . . .
14) Performance Analysis Of Activation Function In Higher Order Logic Programming . . . .
15) Modifying Activation Function In Neuro Symbolic Integration . . . . . . . . . . . . . . . .
16) Activation Function Comparison In Neural-Symbolic Integration . . . . . . . . . . . . . .
17) A Long Waves Propagation In Two-Layer Fluid Over A Circular Bowl Pit . . . . . . . . .
18) Natural Convection In An Oblique Porous Cavity With Non-Uniform Heating . . . . . . .
19) Development Of Tsunami Inundation Map For Penang Using TUNA-RP . . . . . . . . . .
20) Assessing Potential Impact Of Tsunami On Penang Island Via TUNA-RP Simulation . .
21) Pile Formation Of Drill Cuttings From Oil And Gas Exploration In Siakap - North Petai
Field . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
22) Unsteady Free Convection Flow Of Rotating Mhd Second Grade Fluid In A Porous Medium
Over An Oscillating Plate . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
23) TUNA-WQ: A 2D Mathematical Model For Water Quality Simulation . . . . . . . . . . .
24) Simulation Of Suspended Drill Cuttings From OÆshore Oil And Gas Platform . . . . . . .
25) Food Chain Model With Competition Interaction In An Environment Enriched By A Biotic
Resource . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
26) Thermal Radiation In Unsteady MHD Free Convection Flow Of JeÆrey Fluid With Ramped
Wall Temperature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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27) G-Jitter Induced MHD Free Convective Flow Of Nanofluid Past A Vertical Permeable
Stretching Sheet . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
28) High Accuracy Numerical Solution On Rotated Grid For Navier-Stokes Equation . . . . .
29) MHD Second Grade Fluid On Unsteady Free Convection Flow With Ramped Wall Temperature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
30) ADM Solution For MHD Boundary Layer Flow Over A Nonlinearly Stretching Sheet In
The Presence Of Viscous Dissipation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
31) Numerical Solution Of Cheng-Minkowycz Natural Convection Nanofluid Flow Over A Vertical Plate With Zero Flux . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
32) Rational Cubic Ball Curves For Monotone Data . . . . . . . . . . . . . . . . . . . . . . . .
33) Stability Analysis Of Mhd Thermosolutal Marangoni Convection Boundary Layer Flow . .
34) Kinematic And Kinetic Study Of Lower Limb Segment In Skating Activity . . . . . . . .
35) Modeling Of Microbial Approach In A Wastewater Treatment Process: A Case Study Of
MPHO In Taman Timor Oxidation Pond, Johor, Malaysia . . . . . . . . . . . . . . . . . .
36) Modelling Relationship Of PM10 Concentration And Location Of Air Quality Monitoring
Stations In Malaysia Using Network Method . . . . . . . . . . . . . . . . . . . . . . . . .
38) A Comparison Between Adomian Decomposition Method And Variational Iteration Method
For Solving Delay DiÆerential Equation With Initial Condition . . . . . . . . . . . . . . .
39) Influence Of A Uniform Magnetic Field On Ferrofluid Containing Cylindrical Shaped
Nanoparticles Flowing Over An Oscillating Plate With Ramped Wall Temperature . . . .
40) The Stability Of Soret Induced Convection In Doubly DiÆussive Fluid Layer With Feedback
Control . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
41) Improving The Performance Of Chilli Sauce Manufacturing Process Using Simulation Approach . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
42) Magneto-Convection In An Inclined Lid-Driven Cavity With Non-Uniform Heating On
Both Sidewalls . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
43) The Onset Of Rayleigh-Bnard Electroconvection In A Micropolar Fluid With The Presence
Of Feedback Control And Parabolic Temperature Profile . . . . . . . . . . . . . . . . . . .
44) BirkhoÆ Averages For Keller’S Skew Product System . . . . . . . . . . . . . . . . . . . . .
45) Harmonic Polygon’s Method For Solving Nonlinear Ordinary DiÆerential Equation
Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
46) The Performance Of Fixed And Variable Step Size Algorithms In Simulating The Solution
Of Stochastic Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
47) Modelling The Cancer Growth Process By Stochastic DiÆerential Equations With The
EÆect Of Heparan Sulfate (HS) As Anticancer Therapeutics . . . . . . . . . . . . . . . . .
48) Convective Boundary Conditions For Mixed Convection Flow Of A Horizontal Circular
Cylinder In A Nanofluid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
49) Consistent Linguistic Fuzzy Preference Relation With Multi-Granular Uncertain Linguistic
Information For Solving Decision Making . . . . . . . . . . . . . . . . . . . . . . . . . . .
50) The EÆect Of Incomplete Mixing On Cubic Autocatalysis In A Continuous Stirred Tank
Reactor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
51) Adomian Decomposition Method With Chebyshev Polynomials For Solving Fuzzy DiÆerential Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
52) Product Design Based On Soft Set Theory . . . . . . . . . . . . . . . . . . . . . . . . . . .
53) Optimization Of Upper Extremity Muscles During Archery Activity . . . . . . . . . . . .
54) Network Modeling Of PM10 Concentration In Malaysia . . . . . . . . . . . . . . . . . . . .
55) Stability Analysis Of MHD Stagnation Point Flow Towards A Permeable Stretching /
Shrinking Surface In A Carreau Fluid . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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56) A Hybrid Fuzzy Classifier With Particle Swarm Optimization For Class Imbalance Classification . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
57) A Two-Phase Iterative Procedure For The Production-Inventory-Distribution Routing
Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
58) Mathematical Analysis For Unsteady Dispersion Of Solute With Chemical Reaction In
Blood Flow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
59) Modified Artificial Bee Colony For The Integrated Inventory Routing Problem With Backordering . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
60) Visualization Of Vibration Of Ideal And Realistic Strings In An Acoustic Guitar By Using
MATHEMATICA . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
61) Inventory Model For A Multi-Stage Palm Oil Mill . . . . . . . . . . . . . . . . . . . . . . .
62) Pricing Of New York Temperature Index Insurance . . . . . . . . . . . . . . . . . . . . . .
63) MHD Flow Past A Vertical Plate That Applies Arbitrary Shear Stress To The Fluid with
Ramped Wall Temperature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
64) Approximations Of Stochastic Navier - Stokes Equation By Using Stochastic Finite
DiÆerence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
65) Simulation Of Lotka Volterra Model Using Some Non-Standard Schemes . . . . . . . . . .
68) Mathematical Modeling Of Free Convection Boundary Layer Flow On Solid Sphere With
Viscous Dissipation EÆects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
69) Denoising Using New Thresholding Method . . . . . . . . . . . . . . . . . . . . . . . . . .
70) Exact Solutions And Lattice Boltzmann Modeling For Shallow Water Equations . . . . .
71) A New Type Of Fuzzy Control Point In Space Curve . . . . . . . . . . . . . . . . . . . . .
72) Coordination Of Production Scheduling And Vehicle Routing Problem With Release And
Due Date . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
73) A Model Of Unsteady Blood Flow In Complex Microcirculatory Networks . . . . . . . . .
74) Consignment Inventory Model With Buyer’S Capacity Constraint . . . . . . . . . . . . . .
75) Simpler Hydrostatics Component of UNBabc Mapping Function Using Nonlinear curve
fitting Method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
76) Simpler Mathematical Modelfor Wet Component Neill’S Mapping Function . . . . . . . .
77) A Study Of Civil Engineering Maintenance In Government Hospital Buildings . . . . . . .
78) The Extended Runge-Kutta-Like Fourth Order Method For Solving Logistic Equation Of
Tumor Growth Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
79) Extended Basic Integer Programming Models For Multiple Scheduling Problems . . . . .
80) A Structurally Unstable Bistable System When Synthesis And Degradation Of Protein Are
Taken Into Account . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
81) Numerical Simulation And Analytical Validation Of A Gas Flow Through Stored Grain .
82) The Adomian Decomposition Method for Multicell Spheroid Model of Avascular Tumor
Growth . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
83) A Simulated Annealing Approach For Redesigning A Warehouse Network Problem . . . .
84) Heat Transfer Analysis Of Water Based Carbon Nanotubes Over A Stretching Cylinder .
85) Mathematical Modelling Of Expressway Tra±c Noise In Penang . . . . . . . . . . . . . . .
86) Comparative Study Of Free Vibration Of Anti-Symmetric Angle-Ply Laminated Plates . .
87) Constrained Data Visualization Using Rational Cubic Ball Function . . . . . . . . . . . .
88) Hydromagnetic Mixed Convection Flow Over An Exponentially Stretching Sheet With
Fluid-Particle Suspension . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
90) Numerical Modelling Of Parametric Instability Problem For Composite Plate Using Finite
Element Method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
92) Diagonal Quasi-Newton Updating Formula Using The Log-Determinant Norm . . . . . . .
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93) Modelling And Optimization For Palm Oil Plantation Management . . . . . . . . . . . . .
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94) Solution Of Fuzzy Fractional DiÆerential Equations Using Homotopy Analysis Method . .
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95) Bezier Curve Modeling For Intuitionistic Fuzzy Data Problem . . . . . . . . . . . . . . . .
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97) Analysis Of Blood Flow Through A Catheterized Stenosed Artery Using Mathematica . .
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98) Modifed And Hybrid Conjugate Gradient Methods With Their Convergence Analysis:
A Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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101) Challenge In Applying Quantitative Analysis On Bull Semen Quality In Malaysia . . . .
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102) Early Detection of Ganoderma boninense in Oil Palm . . . . . . . . . . . . . . . . . . . .
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103) Integrated Model of Continuous Berth Allocation Problem and Quay Crane Scheduling
With Non-Crossing Constraint . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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APPLIED MATHEMATICS & COMPUTING
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1) Forecasting Crude Oil Production using Quadratic Regression and Layer Recurrent Neural
Network Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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2) On The Fusion Of Regression And Neural Network Models . . . . . . . . . . . . . . . . .
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3) Kullback Lieber Divergence for Image Evaluation . . . . . . . . . . . . . . . . . . . . . . .
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4) Cholesky Factor Updating In Recursive Least-Squares Based System Identification . . . .
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5) A 3(2) Pair Pseudo Runge-Kutta Method For Delay DeÆerential Equation . . . . . . . . .
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6) Assorted Matrix Decomposition Method In Solving Fully Fuzzy Linear System For Triangular Fuzzy Matrices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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7) Near-Zero Solution Of Fully Fuzzy Linear System With Arbitrary Trapezoidal Fuzzy Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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8) Magnetohydrodynamic Flow Of Dusty Fluid Over Stretching Sheet With Hall EÆect . . .
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9) Conformal Mapping Of Multiply Connected Regions Onto Logarithmic Spiral Slit With
Finite Straight Slit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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10) Reinitiated Laplace Homotopy Ananlysis Method For Solving Integral Equations . . . . .
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11) GC Rational Ball Curves With An Application To Cranio-Facial Image Reconstruction .
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12) The Computation Of Zeros Of Ahlfors Map For Doubly Connected Regions . . . . . . . .
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13) Bond Stretching Model For The Diatomic Molecules . . . . . . . . . . . . . . . . . . . . .
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15) Constrained Artificial Bee Colony Algorithm For Optimization Problems . . . . . . . . . .
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16) Forecasting The Mortality Rates Of Malaysian Population Using Lee-Carter Method . . .
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18) Some Results on the Stability of the ODE Model for Tumor Cells Population Dynamics .
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19) Data Analytic Platform For Processing Big Scaled Satellite Images . . . . . . . . . . . . .
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20) A New PRP-Based Hybrid Conjugate Gradient Method For Unconstrained Optimization .
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21) Task Scheduling For Directed Cyclic Graph Using Partitioning Technique . . . . . . . . .
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22) Exact Solution For A Ising Model On Cayley Tree Of Order 5 . . . . . . . . . . . . . . . .
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23) The Performance Of Pde-Based Image Denosing On Radiographic Images . . . . . . . . .
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24) Activation Function Comparison In Neural-Symbolic Integration . . . . . . . . . . . . . .
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25) Dominant Points Detection For Planar Data . . . . . . . . . . . . . . . . . . . . . . . . . .
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26) New Block Runge-Kutta Method With Various Weights For Solving StiÆ Ordinary DiÆerential Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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27) Genetic Algorithm For Multi-Period Outbound Inventory Routing Problem For Split
Delivery . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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28) Preconditioned Jacobi-Type Iterative Methods For Solving Fredholm Integral Equations
Of The Second Kind . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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29) Tools In Data Science For Better Processing . . . . . . . . . . . . . . . . . . . . . . . . . .
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31) Derivation Of BBDF-Æ For Solving Ordinary DiÆerential Equations . . . . . . . . . . . . .
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32) Integration Of Interval Type-2 Fuzzy Sets And Analytic Hierarchy Process: Implication
To Computational Procedures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
34) A New Types Of Spline Modelling Using Fuzzy Linguistic Approach . . . . . . . . . . . .
35) Application Of Disc Bezier Curve In Designing Wide Font . . . . . . . . . . . . . . . . . .
36) Bezier-Like Spiral Transitions For Design Environment . . . . . . . . . . . . . . . . . . . .
37) Facility Layout Problem Using Single Row Routing . . . . . . . . . . . . . . . . . . . . . .
38) Haralick Texture And Invariant Moments Features For Breast Cancer Classification . . . .
39) Integer Linear Programming Model for Timetabling Problem . . . . . . . . . . . . . . . .
PURE MATHEMATICS
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Atom Bond Connectivity Index Of Graph With Two Edges Added . . . . . . . . . . . . .
3-Total Edge Product Cordial Labeling Of Wheel Related Graphs . . . . . . . . . . . . . .
°§ -Derivations On Semiprime °-Rings With Involution . . . . . . . . . . . . . . . . . . . .
Sandwich-Type Theorem For Analytic Functions Of Koebe Type . . . . . . . . . . . . . .
The Schur Multiplier Of Pairs Of Groups Of Order p3 q . . . . . . . . . . . . . . . . . . . .
A Bohr Phenomenon On The Punctured Unit Disk . . . . . . . . . . . . . . . . . . . . . .
Multiplicative Degree Of A Dihedral Group . . . . . . . . . . . . . . . . . . . . . . . . . .
The Cubed Commutativity Degree Of Some Dihedral Groups . . . . . . . . . . . . . . . .
The Central Subgroups Of The Nonabelian Tensor Squareof Torsion Free Space Groups .
Improvement To Scalar Multiplication On Koblitz Curves By Using Non-Adjacent Pseudo
ø °Adic Form . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
On The Number Of Eigenvalues Of The Two-Particle Schrödinger Operator On A Lattice
On Decompositon Of Complete Graphs Into Hamilatonian Circuits And Cyclic Designs .
Pairwise Nearly Compact And Nearly Paracompact Bitopological Spaces And Its Applications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Cyclic Conjugacy Separability Of Certain HNN Extensions Of Cyclic Conjugacy Separable
Groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
An Even And Odd Situation For The Multiplier Of Scalar Multiplication With NonAdjacent Pseudo ø °Adic Form . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Some Constructions On Total Labellings Of M Triangles . . . . . . . . . . . . . . . . . . .
On The Shortest Path In Some k°Connected Graphs . . . . . . . . . . . . . . . . . . . . .
The Orbit Graph Of Metacyclic 3-Groups . . . . . . . . . . . . . . . . . . . . . . . . . . .
Elliptic Curve Cryptography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Starlikeness Of Triple Integral Operators . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Groups And Graphs In Probability Theory . . . . . . . . . . . . . . . . . . . . . . . . . .
Harmonic Starlike Functions With Respect To Symmetric Points . . . . . . . . . . . . . .
Linear Maps Preserving Classical Adjoint On Tensor Products Of Symmetric Matrices . .
The Spectral Properties Of The Discrete SchröDinger Operator With Non-Local Potential
Moufang Loop of Odd Order p31 p32 · · · p3n . . . . . . . . . . . . . . . . . . . . . . . . . . . .
The Generative Capacity Of Weighted Simple And Semi-Simple Splicing Systems . . . . .
An Exact Number Of Compatible Pair Of Some Nontrivial Actions For Cyclic Group Of
2-Power Order . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
On Simultaneous Pell Equations x2 ° my 2 = 1 and y 2 ° 5z 2 = 1 . . . . . . . . . . . . . .
On The Cardinality Of The Set Of Solutions To Congruence Equation Associated With
Polynomial Of Degree Eleven . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
DiÆerentiating The Persistency And Permanency Of Two Stages Dna Splicing Languages
Via Yusof-Goode (Y-G) Approach . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Moufang Loops Of Odd Order P 4 Q3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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36) Analysis Of Tumor Population And Immune System Interaction Model . . . . . . . . . . .
37) On The Upper Bounds Of The Decomposition Values Of The Scalar k For The Elliptic
Scalar Multiplications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
38) Element Orders In Finite Groups And Their Relations With Other Group Invariants . . .
39) Some remarks on Common Fixed Points Problems in Hilbert Spaces . . . . . . . . . . . .
40) McCoy condition in skew verion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
41) Non-Coprime Graph Of A Finite Group . . . . . . . . . . . . . . . . . . . . . . . . . . . .
EDUCATIONAL MATHEMATICS
2) Low Performance Students’s Motivation Level Towards Teaching And Learning Using Geogebra Learning Module . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
3) Integrating History Of Mathematics To Promote Creative And Critical Thinking In Algebra Among Students In Selangor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
4) Cooperative Learning Practices Survey Among Students Of Foundation Engineering Universiti Tenaga Nasional . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
5) Enjoy Learning Mathematics With Magic Maths . . . . . . . . . . . . . . . . . . . . . . .
6) Fostering Problem Solving And Performance Assessment Among Malaysian Mathematics
Teachers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
8) Year Five Pupils’ Informal Understanding Of Proportional . . . . . . . . . . . . . . . . . .
9) The Computation Of Some Properties Of Additive And Multiplicative Groups Of Integers
Modulo n Using C++ Programming . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
10) Visualisation Of Curve, Area And Volume Using Mathematica . . . . . . . . . . . . . . .
11) Predicting The Performance Of Undergraduate Engineering Students In Mathematics I
Courses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
12) Integrating Mathematical Thinking Oriented Problem Solving Approach With Blended
Learning Open Source Science Or Math Studies (BLOSSOMS) Modules . . . . . . . . . .
STATISTICS
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105
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106
107
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1) Adjustment To Lead Leverage Levels And The Timing Element In Issuing Equity: Empirical Evidence From Firm Level Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2) Statistical Modeling Nonlinear Mix EÆects Model In Girth Growth Of Rubber Tree . . . .
3) Distinguishing The Impacts Of Oil Demand And Oil Supply On Volatility Of Inflation: A
Comparative Study On Oil Importing Versus Oil Exporting Countries . . . . . . . . . . .
4) An Investigation On The Impacts Of Oil Price Shocks On Domestic Inflation: A SVAR
Approach . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
5) A System Dynamics Model For Analyzing The Eco-Aquaculture System With Policy Recommendations: Case Study On Integrated Aquaculture Park (i SHARP), Setiu, Terengganu, Malaysia . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
6) Sample Selection Model With Bootstrap Approach: Case Study Of The Malaysian Population And Family Survey 1994 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
7) Nonparametric Predictive Inference For Bivariate Data With Non-Parametric Copula . .
8) Modification Of Two-Step Method In Estimating The Parameters Of Stochastic DiÆerential
Equation Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
9) Change-Point Non Mixture Cure Model For Interval-Censored Data . . . . . . . . . . . .
11) Volatility Spillover EÆect Between Foreign Exchange Rates And Gold Market . . . . . . .
12) Bivariate Copulas Functions For Flood Frequency Analysis . . . . . . . . . . . . . . . . .
13) Parameter Estimation Using Probability Generating Function Based Minimum Power Divergence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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14) Modeling Hydraulic Conductivity Using Minimum Relative Entropy (MRE) Based On
Hydrogeologic Characteristics In Groundwater . . . . . . . . . . . . . . . . . . . . . . . .
16) Predicting The Inflation Rate In Malaysia Using Sukuk Term Structure . . . . . . . . . .
17) Flood Hydrograph Using Functional Data Analysis . . . . . . . . . . . . . . . . . . . . . .
18) The Relationship Between Population Ageing And Economic Growth: A Comparison Between Asia And Europe . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
19) Instantaneous Causality Approach toMeteorological Variables Bond . . . . . . . . . . . . .
21) Analysis Of The Oil Price Fluctuations . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
23) Comparison Of Several Variants Of Principal Component Analysis (PCA) On Forensic
Analysis Of Paper Based On IR Spectrum . . . . . . . . . . . . . . . . . . . . . . . . . . .
24) EÆects Of Scatter-Correction Pre-Processing Methods And Spectral Derivative Algorithms
On Forensic Classification Of Paper . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
25) Bayesian Spatio-Temporal Modelling Using Markov Chain Monte Carlo . . . . . . . . . .
26) Characteristic And Classification Of PM10 Concentrations In Selected Industrial Areas In
Malaysia . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
27) A Comparative Study Of Mixture Cure Model . . . . . . . . . . . . . . . . . . . . . . . . .
28) Flood Frequency Analysis At Ungauged Site Using Modified Group Method Of Data Handling With Topological Kriging . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
29) The Quadratic Estimating Function On Zero Inflated GARCH Model . . . . . . . . . . .
30) Selecting Probability Distribution Of Regions And At-Site For Peninsular Malaysia Streamflow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
32) Modelling And Forecasting Monthly Crude Oil Prices Of Pakistan: A Comparative Study
Of ARIMA, GARCH And ARIMA-Kalman Models . . . . . . . . . . . . . . . . . . . . . .
33) Forensic DiÆerentiation Of Paper By ATR-FTIR Spectroscopy Technique And Partial
Least Squares-Discriminant Analysis (PLS-DA) . . . . . . . . . . . . . . . . . . . . . . . .
34) Genetic Algorithms For Wavenumber Selection In Forensic DiÆerentiation Of Paper By
Linear Discriminant Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
35) Statistical Modeling Of Extreme Temperature In Malaysia Using Generalized Pareto Distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
36) Multinomial Logistic Regression Modelling of Stress Level Among Secondary School Teachers in Kubang Pasu district, Kedah . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
37) Bivariate Copula In Johor Rainfall Data . . . . . . . . . . . . . . . . . . . . . . . . . . . .
38) Bias Correction Of General Circulation Model (GCM) Data Around Kelantan River Basin
39) Estimating Half Life For Levy Driven Carma Processes With Stochastic Volatility . . . .
40) Modeling Multinomial Logistic Regression on Smokers AÆected By the Smoke-Free Campaign in the Area of Melaka . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
41) Credit Card Fraud Detections Based On RIDIT Analysis . . . . . . . . . . . . . . . . . . .
42) Generalized Additive Models (GAMS) Approach In Modelling Rainfall Data Over Johor
Area . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
43) Temporal Dynamic Of Trend In Wind Speed With State Space Model . . . . . . . . . . .
45) Experimental Design And Statistical Analysis In Rotating Disc Contactor (RDC) Column
46) Pre-Test Estimator For Concentration Parameter Of Circular Normal Distribution . . . .
47) Plus Tra±c Highway: An Analysis Based On Time Series Similarity Approach . . . . . .
49) Assessing The Performance Of Probability Distributions For Fine Resolution Rainfall In
Peninsular Malaysia . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
50) Selected Models For Correlated Tra±c Accident Count Data . . . . . . . . . . . . . . . . .
51) Robust Linear Discriminant Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
52) EMD-DR Models For Forecasting Electricity Load Demand . . . . . . . . . . . . . . . . .
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53) Bayesian Analysis Of Change Point Problems For Time Series Data . . . . . . . . . . . . .
54) Comparative Analysis On The Performance Of Stochastic DiÆerential’S Parameter Estimation Methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
56) Comparison between Bayesian Structural Equation Models with Ordered Categorical
Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
57) Robust PC with Wild Bootstrap Estimation of Linear Model in the Presence of Outliers,
Multicollinearity and Heteroscedasticity Error Variance . . . . . . . . . . . . . . . . . . .
59) Estimation Parameters Using Bisquare Weighted Robust Ridge Regression Brlts Estimator
In The Presence Of Multicollinearity And Outliers . . . . . . . . . . . . . . . . . . . . . .
61) A New Approach For Fishery Landing Forecasting Based On Empirical Mode Decomposition And ARIMA Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
62) Analysis On The Future Monthly Rainfall Amount In Johor . . . . . . . . . . . . . . . . .
63) An ARIMA-GARCH Model for Synthetic Generation of Wind Speed Time Series Data . .
64) The Neyman-Scott White Model For Malaysia Rainfall Data . . . . . . . . . . . . . . . . .
65) On The Performance of New Generalized-M Estimator to Rectify Multicollinearity caused
by High Leverage Collinearity Enhancing Observation . . . . . . . . . . . . . . . . . . . .
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APPLIED & INDUSTRIAL
MATHEMATICS
MGI 01 - BAI BITHAMAN AJIL (BBA) MODELLING BY QARDHUL
HASSAN CONCEPT
NURFADHLINA ABDUL HALIMa , ABD AZIZ ARRASHID ABD RAJAKb & SAIFUL
HAFIZAH JAAMAN @ SHARMANc
a,b School
of Informatics and Applied Mathematics
Universiti Malaysia Terengganu
21030, Kuala Terengganu, Malaysia
[email protected], [email protected]
c School
of Mathematical Sciences, Faculty of Science and Technology
Universiti Kebangsaan Malaysia, 43600, Bangi, Selangor, Malaysia
[email protected]
ABSTRACT
Bai Bithaman Ajil (BBA) is a buy-sale property instrument. BBA model consist of payment for
principal and profit margin. Nevertheless, the fixation of profit margin in this contract is unclear
and the conformity of this contract towards the law of Shariah is still in doubt. Hence, a new
approach is introduce to explain and all in all exclude the element of riba in the transaction.
Qardhul hassan is a benevolent loan without any additional payment in its principal. Thus,
the transaction which applied this concept is conforming towards Shariah. This paper explain
the existing BBA model and the early development of the modified BBA which entails the
application of qardhul hassan concept. The results prove that the modified BBA composed from
the concept of qardhul hassan is better than the existing BBA model.
Keywords: Bai Bithaman Ajil ; qardhul hassan; Shariah; riba; Islamic banking.
MGI 02 - ROBUST OPTIMIZATION PROFIT SHARING RATIO WITH STRAIGHT
LINE DEPRECIATION MODELLING
§ 1 §
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NURFADHLINA ABDUL HALIMa , SHAR NIZAM SHARIFb & SAIFUL HAFIZAH JAAMAN @
SHARMANc
a,b
c
Pusat Pengajian Informatik Dan Matematik Gunaan
21030, Kuala Terengganu, Terengganu
Pusat Pengajian Sains Matematik, Fakulti Sains Dan Teknologi
Universiti Kebangsaan Malaysia
43600, UKM Bangi, Selangor
[email protected]
ABSTRACT
An existing robust optimization of profit sharing ratio (PSR) model has been developed and applied into
Islamic hire purchase instrument aims to provide fairer situation to all parties involved in Islamic hire
purchase contract. Robust optimization of PSR is build based on profit loss sharing approach which
highly recommended by Syaria’ to avoid riba and gharar transaction. However, an existing robust optimization of PSR does not take depreciation which is straight line and declining balance into consideration.
Nevertheless, this research only consider on straight line depreciation. Straight line depreciation is depletion of asset values constantly over its expected useful life. This matter exposed the lessor into void
risk situation where the lessee does not fulfill the hire purchase contract. Thus, this research proposed
a modified model for existing robust optimization of PSR with straight line depreciation parameter enhancement. This new modified robust optimization of PSR with straight line depreciation model comply
Syaria’, better and more equitable compare to the existing model.
Keywords: profit sharing ratio; Islamic hire purchase; straight line depreciation.
MGI 03 - USING THE ADAPTIVE NEURO-FUZZY INFERENCE SYSTEM (ANFIS)
IN MODELING THE SURVIVAL OF DIABETES
MAMMAN MAMUDAa & SARATHA SATHASIVAMb
School of Mathematical Sciences
Universiti Sains Malaysia
11800 Pulau Pinang, Malaysia
a,b
ABSTRACT
Medical diagnosis is the extrapolation of the future course and outcome of a disease and a sign of the
likelihood of recovery from that disease. Diagnosis is important because it is used to guide the type and
intensity of the medication to be administered to patients. A hybrid intelligent system that combines
§ 2 §
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the fuzzy logic qualitative approach and Adaptive Neural Network with the capabilities of getting a
better performance is required. In this paper, a method for modeling the survival of diabetes patient
by utilizing the application of the Adaptive Neuro-Fuzzy Inference System (ANFIS) is introduced with
the aim of turning data into knowledge that can be understood by people. The Adaptive Neuro-Fuzzy
Inference System (ANFIS) approach implements the hybrid learning algorithm that combines the gradient
descent algorithm and a recursive least square error algorithm to update the antecedent and consequent
parameters. The combination of fuzzy inference that will represent knowledge in an interpretable manner
and the learning ability of neural network that can adjust the membership functions of the parameters
and linguistic rules from data will be considered. The proposed framework can be applied to estimate
the risk and survival curve between diÆerent diagnostic factors and survival time with the explanation
capabilities.
Keywords: Hybrid Intelligent System, Neuro-Fzzy, Fuzzy Inference System, Gradient Descent Algorithm, Recursive Least Square Error Algorithm.
MGI 04 - INTEGRATION OF FUZZY LOGIC AND NEURAL NETWORK
MAMMAN MAMUDAa & SARATHA SATHASIVAMb
a,b
ABSTRACT
Every intelligent technique has particular computational properties such as ability to learn, explain
decisions that make them suited for particular problems and not for others. The limitation of using an
individual intelligent technique to learn or explain decisions have been a central driving force behind
the creation of hybrid intelligent systems where two or more technique can be combined. For example,
while neural network have the positive attributes of adaptation and learning, they have the negative
attribute of a ”black box” syndrome. Also, fuzzy logic has the advantage of approximate reasoning
but the disadvantage that it lacks an eÆective learning capability. Hybrid systems are important when
considering the varied nature of application domains. In this paper, the concept of fuzzy logic will be
incorporated into the neural network to enable a system to deal with cognitive uncertainties in a manner
more like humans. The fuzzy IF- THEN rules by regular fuzzy neural nets such as (fuzzy input/output
signals and fuzzy weights) will be implemented using the fuzzy rules that can be trained by steepest
descent method to learn the parameters of the membership function that represent the linguistic terms
in the rules.
Keywords: Fuzzy Logic, Neural Network, Intelligent Technique, IF-THEN Rules, Fuzzy Weights.
§ 3 §
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MGI 05 - GROUP ITERATIVE METHODS FOR THE SOLUTION OF
TWO-DIMENSIONAL TIME-FRACTIONAL DIFFUSION EQUATION
ALLA TAREQ BALASIMa & NORHASHIDAH HJ. MOHD. ALIb
11800 Pinang Malaysia
[email protected], shidah [email protected]
a,b
ABSTRACT
Variety of problems in science and engineering may be described by fractional partial diÆerential equations
(FPDE) in relation to space and/or time fractional derivatives. The diÆerence between time fractional
diÆusion equations and standard diÆusion equations lies primarily in the time derivative. Over the
last few years, iterative schemes derived from the rotated finite diÆerence approximation have been
proven to work well in solving standard diÆusion equations. However, its application on time fractional
diÆusion counterpart is still yet to be investigated. In this paper, we will present a preliminary study
on the formulation and analysis of new explicit group iterative methods in solving a two-dimensional
time fractional diÆusion equation. These methods were derived from the standard and rotated CrankNicholson diÆerence approximation formula. Several numerical experiments were conducted to show the
e±ciency of the developed schemes in terms of CPU time, memory requirements and computational
complexity.
Keywords: Finite diÆerence schemes, Explicit group methods, Time fractional diÆusion equation, Caputo’s fractional derivative.
MGI 06 - SIMULATION OF UNDULAR BORES PROPAGATION WITH DAMPING
WEI KING TIONGa , KIM GAIK TAYb , CHEE TIONG ONGc & KANG LENG CHIEWd
a,d
b
Department of Computational Science and Mathematics, Faculty of Computer Science and
Information Technology
Universiti Malaysia Sarawak
94300 Kota Samarahan, Malaysia
Department of Communication Engineering, Faculty of Electrical and Electronic Engineering
Universiti Tun Hussein Onn
86400 Parit Raja, Malaysia
[email protected]
c
§ 4 §
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UTM, Johor Bahru
81310 Johor Bahru, Malaysia
[email protected]
ABSTRACT
Propagation of undular bores with damping was considered in the framework of perturbed extended
Korteweg-de Vries (peKdV) equation. We consider two types of damping terms for the peKdV equation,
namely linear and Chezy frictional terms, which describes the turbulent boundary layers in the fluid
flow. Solving the peKdV equation numerically using the method of lines shows that under the influence
of damping, the leading solitary wave of the undular bores will split from the nonlinear wavetrain,
propagates and behaves like an isolated solitary waves. Moreover, the undular bore with thick leading
wave will transform into KdV-like solitary wave under stronger eÆect of damping. The amplitude of the
thick leading wave will remain the same for some time even though there is damping eÆect. In general
the amplitude of the leading wave and the mean level of the undular bore decreases due to the eÆect of
damping.
Keywords: undular bores; damping; solitary wave.
MGI 07 - SELF ORGANIZING MAP AS A TOOL FOR CLUSTER ANALYSIS
ABDU MASANAWA SAGIRa & SARATHA SATHASIVAMb
ams13 [email protected], [email protected]
a,b
ABSTRACT
The Kohonen Self Organizing Feature Map or Self Organizing Map (SOM) for short, is the most acceptable
algorithm in the unsupervised learning technique for cluster analysis. It is an important tool to map high
- dimensional data sets onto a low - dimensional discrete lattice of neurons. This feature is used for
clustering and classification of data. Clustering is the process of grouping data elements into classes or
clusters so that items in each class or cluster are as similar as possible. In this paper we present an
overview of Self Organizing Map, its applications, architecture and training algorithm as well. Computer
simulations have been analyzed based on samples of data for clustering problems.
Keywords: Cluster analysis; Computer simulations, Self Organizing Map; SOM Architecture; Training
algorithm.
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MGI 08 - THE USE OF ARTIFICIAL NEURAL NETWORK AND MULTIPLE
LINEAR REGRESSIONS FOR STOCK MARKET FORECASTING
ABDU MASANAWA SAGIRa & SARATHA SATHASIVAMb
ams13 [email protected], [email protected]
a,b
ABSTRACT
In the recent economic crises, one of the precise uniqueness that all stock markets have in common is
the uncertainty. An attempt is made to forecast future index of the Malaysia Stock Exchange Market
using artificial neural network models and a traditional forecasting tool - Multiple Linear Regressions.
This paper starts with a brief overview of artificial neural network and machine learning models used
for prediction. System design, data formation and data normalization using MINITAB software were
described. Training algorithm, Multiple Linear Regressions Model and Network parameter models were
presented. Best training graphs showing the Training, Validation, Test and all Regression values have
been analyzed.
Keywords: Artificial Neural Network, Machine Learning Models, Multiple Linear Regressions Model,
Stock Market, Training algorithm.
MGI 09 - SOLVING ROBIN PROBLEM IN BOUNDED DOUBLY CONNECTED
REGIONS VIA AN INTEGR EQUATION WITH THE GENERALIZED NEUMANN
KERNEL
SHWAN HASSANa , ALI H. M. MURIDb & MUNIRA ISMAILc
a,b,c
b
UTM Centre for Industrial and Applied Mathematics (UTM-CIAM)
Ibnu Sina Institute for Scientific and Industrial Research, UTM,
[email protected]
ABSTRACT
This paper presents a new boundary integral equation method for the solution of Robin problems in
bounded doubly connected regions. We show how to reformulate the Robin problems as a Riemann-
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Hilbert problem which lead to systems of integral equations. Related diÆerential equations and normalizing conditions are also constructed that give rise to unique solutions. Numerical results on several test
regions are presented to illustrate the solution technique for the Robin problems when the boundaries
are su±ciently smooth.
Keywords: Robin problem; Riemann-Hilbert problem; Integral equation; Generalized Neumann kernel;
Doubly connected region.
MGI 10 - THE METHOD OF LINES SOLUTION OF THE FORCED KORTEWEG-DE
VRIES-BURGERS EQUATION WITH VARIABLE COEFFICIENT (FKdVB)
NAZATULSYIMA MOHD YAZIDa , KIM GAIK TAYb , WEI KING TIONGc , YAN YEE CHOYd ,
AZILA MD SUDINe & CHEE TIONG ONGf
a,d,e
Department of Mathematics and Statistics, Faculty of Science, Technology and Human Development
Universiti Tun Hussein Onn Malaysia
86400 Parit raja, Batu Pahat, Johor, Malaysia
[email protected], [email protected], [email protected]
b
c
Department of Communication Engineering, Faculty of Electric and Electronic
86400 Parit raja, Batu Pahat, Johor, Malaysia
[email protected]
Department of Computational Science and Mathematics, Faculty of Computer Science and
Information Technology
Universiti Malaysia Sarawak
94300 Kota Samarahan, Malaysia
[email protected]
f
[email protected]
ABSTRACT
In this paper, the application of the method of lines (MOL) to the Forced Korteweg-de Vries-Burgers
equation with variable coe±cient (FKdVB) was presented. The method of lines is a powerful technique
for solving partial diÆerential equations by typically using finite-diÆerence approximations for the spatial
derivatives and ordinary diÆerential equations (odes) for the time derivative. The MOL approach of the
FKdVB equation led to a system of odes. Solution of the system of odes was obtained by applying the
Fourth Order Runge Kutta (RK4) method. In order to show the accuracy of the presented method, the
§ 7 §
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numerical solutions obtained were compared with its progressive wave solution in terms of maximum
absolute error at certain time. It was seen that the maximum absolute errors are in order of 10°6 .
Keywords: FKdVB Equation; The Method of Lines; System of DiÆerential Equation; Runge Kutta.
MGI 11 - MATHEMATICAL MODELLING OF FLUID FLOW UNDER EFFECT OF
SCLERA BUCKLING
LIM YEOU JIANNa , ZUHAILA ISMAILb , SHARIDAN SHAFIEc & ALISTAIR FITTd
a,b,c
Faculty of Technology, Design and Environment
Oxford Brookes University Headington Campus
Gipsy Lane, Oxford, OX3 OBP, United Kingdom.
[email protected]
d
ABSTRACT
In this paper, a phenomenon of fluid flow through a detached retina with sclera buckling treatment is
studied. To understand the fluid flow, a paradigm mathematical model is developed and is approximated
by the lubrication theory. The eÆect of the sclera buckling on the behaviour of the liquefied vitreous
humour, which cause the reattachment of the retina, is analyzed and discussed. The velocity profile and
pressure distribution are computed theoretically. Based on the analysis, it is found that the size of the
sclera buckling do aÆects the velocity and pressure distribution in the human eye. It is important to
comprehend the eÆect of the sclera buckling on the dynamics of the vitreous humour in order to improve
the sclera buckling treatment on curing retinal detachment.
Keywords: retinal detachment; sclera buckling; lubrication theory.
MGI 12 - MODELING MINORITY CLASSES OF STENCIL PRINTING PROCESS
DEFECTS WITH MACHINE LEARNING ALGORITHM
SIEW JIT-PINGa , LOW HENG-CHINb & TEOH PING-CHOWc
a,b
Department of Mathematical Science
§ 8 §
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11800 USM, Penang, Malaysia
Wawsan Open University
54, Jalan Sultan Ahmad Shah
10050, Penang, Malaysia
[email protected]
c
ABSTRACT
Stencil printing process (SPP) has been a challenge on surface mount technology (SMT) printed circuit
board (PCB) manufacturing, and the phenomena is evident by the frequent use of solder paste inspection
equipment, or substituted by non-value added activity of manual inspection. Using automated stencil
printing machines controlled by computers, defect rates have been reduced to 1.0% level, but SPP still
constituted at least 50% of defects in the finished PCB product. Initial analysis using generalized linear
model did not produce results that correlated with actual observations as defects are a minority class,
which lead to the use of machine learning algorithm. The objective of this paper is to use data mining
techniques to dissect defects data, and then characterize the observations that occur in conjunction
with actual production run variables using a suitable machine learning algorithm to identify special
causes which can be used as a learning point by the manufacturing crew for continuous improvement.
Comparison runs from various machine learning algorithms indicated that artificial neural network is
superior in two aspects of speed and accuracy, but lacking in model information. The results from a 9
months period of study indicated a significant reduction in the rate of defects, touching the ultimate goal
of zero defects in SPP.
Keywords: stencil printing; machine learning; artificial neural network.
MGI 13 - ACCELERATING ACTIVATION FUNCTION IN HIGHER ORDER LOGIC
PROGRAMMING
MOHD SHAREDUWAN MOHD KASIHMUDDINa , & SARATHA SATHASIVAMb
11800 USM Penang Malaysia
a,b
ABSTRACT
A strategy for finding optimum solutions in higher - order logic programming in Hopfield Neural Network
is vital to ensure the network achieve the best convergent rate. Activation Function is used to transform
the activation level of a unit (neuron) into output signal. The aim of this study is to justify how well
Hyperbolic Activation Function outperforms Unipolar Activation Function in doing logic programming
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in Hopfield Neural Network. The comparisons of Unipolar Activation Function and Hyperbolic Activation Function doing logic programming in Hopfield neural network will be examined by using Microsoft
Visual C++ 2010 Express software. Performance for both Unipolar Activation Function and Hyperbolic
Activation Function doing logic programming will be evaluated based on global minima ratio, running
time and hamming distance. Computer simulations have proven that the output produced by Hyperbolic
Activation Function has a higher global minima ratio, lower running time and lower Hamming Distance.
The results obtained from the computer simulation demonstrate the eÆectiveness, accelerating features
of Hyperbolic Activation Function compared to Unipolar Activation Function.
Keywords: Activation function; Hyperbolic Activation Function; Unipolar Activation Function; Hopfield Neural Network.
MGI 14 - PERFORMANCE ANALYSIS OF ACTIVATION FUNCTION IN HIGHER
ORDER LOGIC PROGRAMMING
MOHD. ASYRAF MANSORa & SARATHA SATHASIVAMb
11800 Minden, Pulau Pinang, Malaysia
a,b
ABSTRACT
Higher-order logic programming in Hopfield neural network is a vital paradigm to solve numerous combinatorial optimization problem and pattern recognition. Hence, activation function can be integrated
as catalyst or accelerating techniques of doing higher order logic programming in Hopfield network. Obviously, the McCulloch-Pitts learning rule is widely used in higher order logic programming. Hereby, we
proposed the Bipolar sigmoid and Hyperbolic activation function trained by Wan Abdullah’s method by
integrating energy minimization scheme in order to speed up the training process. Computer simulations
are carried out to authenticate the performance of Hyperbolic activation function, Bipolar sigmoid activation function and McCulloch-Pitts function (Logistic Function) in higher order Hopfield network. We
used Microsoft Visual C++ 2013 as a platform of simulating, training and testing the network. Therefore,
evaluations are made between these activation functions to see which one is superior in the aspects of
global solutions, hamming distance, complexity and computation time. It was proven by the computer
simulations that Hyperbolic activation function outperformed Bipolar sigmoid activation function and
McCulloch-Pitts function.
Keywords: Higher-order logic programming; Hopfield neural network; Hyperbolic activation function.
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MGI 15 - MODIFYING ACTIVATION FUNCTION IN NEURO SYMBOLIC
INTEGRATION
MOHD SHAREDUWAN MOHD KASIHMUDDINa & SARATHA SATHASIVAMb
11800 USM Penang Malaysia
a,b
ABSTRACT
Activation Function is a dynamic transfer function that translates input signal to output signals. Architecture with incorporated activation functions is used to do logic programming in Hopfield neural network.
The proposed activation function is based on Unipolar Activation Function. The aim of this study is to
investigate the features of Unipolar Activation Function and compare it with McCulloch-Pitts Activation
Function which is proposed by Wan Abdullah. The comparisons of Unipolar Activation Function and
McCulloch-Pitts Activation Function doing logic programming in Hopfield neural network will be examined by using Microsoft Visual C++ 2010 Express software. The detailed comparison on the performance
of Unipolar Activation Function and McCulloch-Pitts Activation Function doing logic programming will
be discussed based on global minima ratio, running time and hamming distance. Studies showed that the
output produced by Unipolar Activation Function has a higher global minima ratio, lower running time
and lower hamming distance. The result obtained from the computer simulation indicates the beneficial
features of Unipolar Activation Function compared to McCulloch-Pitts Activation Function. This finding leads to significant implication on the choice of activation function used in order for user to produce
optimum and desired output.
Keywords: Activation function; Unipolar Activation Function; Hopfield Neural Network.
MGI 16 - ACTIVATION FUNCTION COMPARISON IN NEURAL-SYMBOLIC
INTEGRATION
a,b
ABSTRACT
The activation function is a dynamic paradigm for doing logic programming in Hopfield neural network.
In neural-symbolic integration, the activation function used to metamorphose the activation level of a
unit (neuron) into an output signal. The proposed activation function is Bipolar sigmoid activation function. The main goal of this research is to compare and analyze the performance of proposed activation
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function paradigm with another sign function, namely McCulloch-Pitts function based on Wan Abdullah’s method. In this study, we evaluate experimentally the diÆerences between both functions through
computer simulations. Computer simulations are conducted to demonstrate the ability of Bipolar sigmoid function and McCulloch-Pitts function doing the logic programming in Hopfield neural network.
Microsoft Visual C++ 2013 is used as a platform for training and testing. The performance of Bipolar
sigmoid activation function and the McCulloch-Pitts function were discussed holistically by comparing
the global minima ratio, Hamming distance and training or computation time. It was proven by computer simulations that the Bipolar sigmoid activation function has a better performance, provides good
solutions and achieves an acceptable stability compared to the McCulloch-Pitts function.
Keywords: Activation function; Logic programming; Hopfield neural network; Hamming distance;
Global minima ratio.
MGI 17 - A LONG WAVES PROPAGATION IN TWO-LAYER FLUID OVER A
CIRCULAR BOWL PIT
FATIMAH NOOR HARUNa
School of Informatics and Applied Mathematics
21030 Kuala Terengganu, Terengganu, Malaysia
fnoor [email protected]
a
ABSTRACT
This study is conducted to study the long wave propagation in two layer fluid model over a circular bowl
pit by using the analytical solution. The equation used in this study is the mild-slope equation and linear
shallow water equation. The methods used to solve this problem are separation of variable and Frobenius
series. The mild-slope equation used in this research is a power fool tool to study wave refraction and
diÆraction over the circular bowl pit in a constant depth region. As part of verification process, we have
reduced our solution to one-layer fluid and find that our solution agree well with the existing solution.
After solving this problem analytically, we find that the depth and the radius of bowl fit have significance
eÆect to the surface wave elevation, ¥. Besides, the density ratio also give significance eÆect to the surface
wave elevation.
Keywords: mild-slope equation; analytical solution; Frobenius series.
MGI 18 - NATURAL CONVECTION IN AN OBLIQUE POROUS CAVITY WITH
NON-UNIFORM HEATING
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CHEONG HUEY TYNGa , S. SIVASANKARANb & ZAILAN SIRIc
Institute of Mathematical Sciences, Faculty of Science
Universiti Malaya
50603 Kuala Lumpur, Malaysia
hueytyng [email protected], [email protected], [email protected]
a,b,c
ABSTRACT
The present numerical study investigates natural convective flow and heat transfer in an oblique cavity
filled with heat-absorbing or heat-generating porous medium. Sinusoidal temperature is applied in the
left wall of the cavity while the right wall is maintained at a lower temperature. The bottom and top walls
are kept to be adiabatic. The Darcy model is adopted for fluid flow through the porous medium. The
governing equations are solved using the finite diÆerence method with various values of wall inclination,
internal heat generation parameter and Rayleigh numbers. The results are presented in the form of
isotherms, streamlines and Nusselt numbers. The heat transfer rate of oblique cavity is more enhanced
at high Rayleigh numbers. Also, the heat transfer rate decreases upon the raise of the internal heat
generation parameter.
Keywords: natural convection; oblique cavity; porous medium; non-uniform heating.
MGI 19 - DEVELOPMENT OF TSUNAMI INUNDATION MAP FOR PENANG
USING TUNA-RP
TAN WAI KIATa , TEH SU YEANb & KOH HOCK LYEc
11800 USM, Pulau Pinang, Malaysia
a,b
USCI University
Jalan Menara Gading, 56000 Kuala Lumpur, Malaysia
[email protected]
c
ABSTRACT
As an essential part of the tsunami early warning system, tsunami inundation maps provide critical
information on tsunami inundation along the coastal areas. This information provides the basis for
authorities to make informed decisions on tsunami disaster evacuation and coastal development plans.
These inundation maps are also used to highlight the vulnerability of coastal areas to better prepare the
coastal communities for timely response to impending tsunami events. Maximum inundation distance
and maximum run-up height simulated by a tsunami model based on past and potential future tsunami
events are used to produce such inundation maps. In this paper, we present the in-house two-dimensional
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tsunami run-up and inundation model codenamed TUNA-RP. Under a national project, TUNA-RP is
used to produce the inundation maps for northwest Peninsular Malaysia, a known tsunami hotspot.
TUNA-RP solves the nonlinear shallow water equations (NSWE) by leap-frog finite diÆerence scheme
on a staggered grid coupled with a moving boundary algorithm to project the run-up of tsunami waves
onto the dry land. The simulated results of TUNA-RP compare well with the measured results of a large
scale laboratory experiment benchmark that investigated run-up of solitary waves on a circular island. A
tsunami inundation map for Penang produced by simulations driven by the bathymetry and topography
data from NOAA will be presented in this paper.
Keywords: tsunami inundation map; TUNA-RP; Penang; disaster management.
MGI 20 - ASSESSING POTENTIAL IMPACT OF TSUNAMI ON PENANG ISLAND
VIA TUNA-RP SIMULATION
LEE KEXINa , TAN WAI KIATb , TEH SU YEANc & KOH HOCK LYEd
Pusat Pengajian Sains Matematik
a,b,c
USCI University
[email protected]
d
ABSTRACT
The Indian Ocean tsunami that occurred on December 26, 2004 resulted in the death of over 200,000
people worldwide, of which 52 deaths happened in Penang Island, Malaysia. This devastating event
highlighted the vulnerability of Malaysian coastal communities living in aÆected areas to potential future
tsunamis. To assess potential impact of tsunami, numerical tsunami models are used to project the
maximum inundation distance and maximum run-up height along the coastal areas. In this paper,
the in-house one-dimensional tsunami run-up model codenamed TUNA-RP is used to investigate the
relations between the steepness of beach slope and tsunami impacts, such as inundation distance and
run-up height. The simulation results of TUNA-RP show that the inundation distance and run-up height
decrease exponentially as the steepness of beach slope increases. Simulations are performed to project
the inundation distance and run-up at several high-risk coastal areas in Penang island, such as Teluk
Bahang, Batu Feringghi and Tanjung Bungah, the results of which will be presented in this paper.
Keywords: TUNA-RP; tsunami runup and inundation; Penang.
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MGI 21 - PILE FORMATION OF DRILL CUTTINGS FROM OIL AND GAS
EXPLORATION IN SIAKAP-NORTH PETAI FIELD
SITI NASUHA NASIRa , KH’NG XIN YIb , LIM YONG HUIc , TEH SU YEANd & KOH HOCK LYEe
[email protected]
a,b,c,d
USCI University
[email protected]
e
ABSTRACT
The vibrant and flourishing oil and gas exploration and production industry in Malaysia helps to stimulate
the country’s economy. During the process of drilling an oil well, drill cuttings with various characteristics
and sizes are produced. Among the disposal options of drill cuttings, onsite disposal of these cuttings
is practically the simplest option and the least expensive. The disposed drill cuttings will ultimately
deposit onto the seabed to form piles around the vicinity of the platform. These accumulated cuttings
on the seabed might result in growth inhibition, mortality, and smothering of marine organisms besides
aÆecting pipe laying and maintenance operations. Model simulations are used to provide a perspective
on the areal extent of accumulations of cuttings on the seabed and to investigate potential mitigation
measures. For this purpose, an in-house particle tracking model TUNA-PT has been developed. In this
paper, we use TUNA-PT to simulate the pile formation pattern of drill cuttings discharged during an oil
and gas exploration and production drilling operation in Siakap-North Petai (SNP) Field located oÆshore
of Sabah. Due to the energetic ocean environment of South China Sea, the drill cuttings are spread over
a large area, thereby decreasing the pile height. Our simulation study indicates that the disposed drill
cuttings will not pose adverse impact to the benthic environment and will not hinder pipe laying and
maintenance operations.
Keywords: oil and gas; TUNA-PT; drill cuttings; mount formation.
MGI 22 - UNSTEADY FREE CONVECTION FLOW OF ROTATING MHD SECOND
GRADE FLUID IN A POROUS MEDIUM OVER AN OSCILLATING PLATE
AHMAD QUSHAIRI MOHAMADa , ILYAS KHANb & SHARIDAN SHAFIEc
a,c
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College of Engineering
Majmaah University
P.O. Box 66, Majmaah 11952, Saudi Arabia
[email protected]
b
ABSTRACT
In this paper, the analytical solutions for unsteady free convection flow of rotating second grade fluid over
an isothermal oscillating vertical plate are investigated. The eÆect of magnetohydrodynamics (MHD) flow
in a porous medium is also considered. The governing equation for momentum is modeled in a rotating
system such that both fluid and plate rotate in unison with uniform angular velocity. This phenomenon is
modeled in the form of partial diÆerential equations together with initial and boundary conditions. Some
suitable non-dimensional variables are introduced. The corresponding non-dimensional momentum and
energy equations with conditions are solved using Laplace transform technique. Expression for velocity
and temperature fields are obtained and displayed graphically for diÆerent values of second grade fluid
(Æ), rotation (!), magnetic (M ) and porosity (K) parameters as well as Grashof number (Gr) and Prandtl
number (P r). Results obtained satisfied all the initial and boundary conditions and able to reduce to the
published results from the literature as limiting cases.
Keywords: second grade fluid; rotating; free convection; oscillating; MHD; porous medium.
MGI 23 - TUNA-WQ: A 2D MATHEMATICAL MODEL FOR WATER QUALITY
SIMULATION
MICHAEL CHONG SUENG LOCKa , TEH SU YEANb & KOH HOCK LYEc
a,b
USCI University
[email protected]
c
ABSTRACT
Increasing demand for potable water coupled with decreasing number of water resources due to pollution
create a challenge in providing sustainable sources of potable water. It is therefore vital to protect
our existing waters from pollution while achieving economic and social development. Water quality
models are useful tools for simulation and prediction of the levels, distributions and risks of pollutants
discharged into a certain water body. Mitigation measures for reducing the environmental impact can be
further explored via model simulations. These model-predicted impacts and mitigation measures provide
a basis for environmental management agencies to make the right decisions. There are various wellknown models available for water quality simulation, namely WASP, AQUASEA and MIKE, but these
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models are either limited in their application or licensed. To provide an alternative to these models,
we develop an in-house two-dimensional water quality simulation model codenamed TUNA-WQ. As an
in-house model, TUNA-WQ can be revised and adapted to broaden the applicability of the model. We
begin the paper by introducing the development of TUNA-WQ, starting from specifying the equations
and numerical methods employed. This is followed by verification of the model through comparison with
analytical model and other water quality models. To demonstrate the application of TUNA-WQ, we
conclude the paper by presenting the TUNA-WQ simulated suspended sediment plumes in the top water
column due to discharge from an oÆshore oil and gas exploration platform in the South China Sea.
Keywords: TUNA; water quality; suspended sediment; oil and gas.
MGI 24 - SIMULATION OF SUSPENDED DRILL CUTTINGS FROM OFFSHORE OIL
AND GAS PLATFORM
NURUL SYAZWANI MANSORa , MICHAEL CHONG SUENG LOCKb , TEH SU YEANc & KOH
HOCK LYEd
a,b,c
USCI University
[email protected]
d
ABSTRACT
OÆshore oil and gas exploration activities often involves installation of flow lines and subsea facilities,
well drilling, well completion and testing, host tie-ins, production and lastly subsea intervention and
prevention. The disposal of drill cuttings from well drilling operation generates suspended solids (SS),
thereby raising concerns on its negative impact on marine environment. These drill cuttings disposed
oÆshore compose of particles with various properties. Larger and heavier cuttings will settle quickly onto
the seabed and form a pile while lighter and smaller cuttings will remain suspended in the water column.
To assess the impact of these SS on the marine ecosystem, a modeling study is required. This paper
presents a simulation study on the transport of SS in the water column due to drill cuttings disposed
by an oÆshore oil and gas exploration platform in Siakap North - Petai Field. The hydrodynamic flow
and transport model AQUASEA, developed by Vatnaskil Consulting Engineers, is used for this purpose.
Simulated SS plumes subject to the pre-dominant semi-diurnal tidal flow will be presented and the impact
of the drill cuttings disposal on the marine environment will be discussed.
Keywords: oil and gas; AQUASEA; drill cuttings; suspended sediments.
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MGI 25 - FOOD CHAIN MODEL WITH COMPETITION INTERACTION IN AN
ENVIRONMENT ENRICHED BY A BIOTIC RESOURCE
HAMIZAH MOHD SAFUANa & SUHAILI BINTI MUSAb
a
Mathematics and Statistics Department, Faculty of Science, Technology and Human Development
86400 Batu Pahat, Johor, Malaysia
[email protected]
Department of General Study (Academic)
Kolej Poly-Tech MARA, Tingkat 3,Bangunan Tabung Haji
Jalan Timah Sari, 83000 Batu Pahat, Johor
suhaili [email protected]
b
ABSTRACT
Ecology is a study that deals with the dynamics of species population and that the population interacts
among themselves in an environment. Population interactions can be divided into two types - intraspecific
or interspecific. Intra-specific interaction is the competition within the same species while an interspecific interaction is the competition with diÆerent species. These competitions generally describe the
interactions of population to compete for available food/resource. The resource could be a free resource
or a shared resource. Thus competition among species can be defined as interaction that leads to a change
in the fitness of the population to survive with a given resource. There are two types of resource in the
ecosystem that is abiotic and biotic. Abiotic resource is the non-living components such as chemical
or physical factors that can aÆect the ability of the population to survive or reproduce, while a biotic
resource is the living component in the ecosystem. Resource is generally finite and limited that can be
related to the concept of carrying capacity, where carrying capacity defines as the maximal abundance
of the population in a given environment. It is a limiting factor and without it the population growth
is beyond control. There are many systems of diÆerential equations in population modelling that deal
with constant carrying capacity, in this study, however, we investigate on changing environment that is
modelled through a state-variable where the carrying capacity represents a biotic resource in a food chain
model. The food chain model consists of a two species populations that share the same resource. This
study investigates population growth model that involves a food chain with competition in an environment
enriched with biotic resource.
Keywords: carrying capacity; population growth, competition; stability; bifurcation.
MGI 26 - THERMAL RADIATION IN UNSTEADY MHD FREE CONVECTION
FLOW OF JEFFREY FLUID WITH RAMPED WALL TEMPERATURE
NOR ATHIRAH BINTI MOHD ZINa , ILYAS KHANb & SHARIDAN SHAFIEc
a,c
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College of Engineering Majmaah University
[email protected]
b
ABSTRACT
This research studies the influence of thermal radiation in unsteady magnetogydrodynamic (MHD) free
convection flow of JeÆrey fluid with ramped wall temperature. The fluid is taken as electrically conducting under the action of a magnetic field applied in a direction perpendicular to the flow. The problem
is modelled in terms of partial diÆerential equations with some physical conditions. Appropriate dimensionless variables are employed to the governing equations and solved numerically using Finite DiÆerence
Method (FDM). Numerical results for velocity and temperature profiles are obtained, displayed graphically for embedded parameters and discussed in details. On one hand, it is found that velocity increases
with increasing Grashof number, radiation parameter and time for both ramped and isothermal wall
temperature. On the other hand, increasing Prandtl number, Hartmann number and material parameter
of JeÆrey fluid decreases fluid velocity. Besides that, increasing Prandtl number tends to decrease the
thermal boundary layer thickness whereas it decreases with increasing radiation parameter.
Keywords: JeÆrey fluid; thermal radiation; MHD, free convection; ramped wall temperature.
MGI 27 - G-JITTER INDUCED MHD FREE CONVECTIVE FLOW OF NANOFLUID
PAST A VERTICAL PERMEABLE STRETCHING SHEET
NORAIHAN AFIQAH RAWIa , NOR ATHIRAH MOHD ZINb & SHARIDAN SHAFIEc
[email protected], tyera [email protected], [email protected]
a,b,c
ABSTRACT
The unsteady two dimensional convective boundary layer flow of nanofluid past a vertical permeable
stretching sheet associated with the eÆect of g-jitter is studied in this paper. Two diÆerent types of water
based nanofluid are considered in this paper which are copper (Cu) and aluminium oxide (Al2 O3 ). Both
of them are the nanoparticles. The governing boundary layer equations in the form of partial diÆerential
equations are transformed into nonlinear coupled ordinary diÆerential equations and solved numerically
using an implicit finite-diÆerence scheme known as Keller-box method. The eÆects of amplitude of
modulation, frequency of oscillation, nanoparticle volume fraction, magnetic, and buoyancy parameters
on the velocity and temperature profiles, as well as skin friction and Nusselt number are discussed in
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details. An excellent agreement is observed between the current and earlier published results for some
special cases.
Keywords: g-jitter; free convection; nanofluid; Keller-box.
MGI 28 - HIGH ACCURACY NUMERICAL SOLUTION ON ROTATED GRID FOR
NAVIER-STOKES EQUATION
SAM TEEK LINGa & NORHASHIDAH HJ. MOHD. ALIb
Institute of Engineering Mathematics
Universiti Malaysia Perlis, Kampus Pauh Putra
02600 Arau, Perlis, Malaysia
[email protected]
a
shidah [email protected]
a,b
ABSTRACT
A new high accuracy finite diÆerence scheme in solving the two dimensional Navier-Stokes equation is
presented. The fourth-order scheme is derived from the rotated nine-point finite diÆerence discretization
formula applied to the equation as a stream-function and vorticity formulation. Numerical solutions are
obtained for diÆerent Reynolds numbers and mesh sizes. The iterative procedure of the rotated ninepoint scheme is found to require lesser execution timings and iteration numbers compared to the existing
nine-point compact method resulting in faster convergence rate.
Keywords: rotated grid; Navier-Stokes; fourth-order scheme.
MGI 29 - MHD SECOND GRADE FLUID ON UNSTEADY FREE CONVECTION
FLOW WITH RAMPED WALL TEMPERATURE
ZULKHIBRI ISMAILa , ILYAS KHANb , NADIRAH MOHD NASIRc , RAHIMAH JUSOH @ AWANGd ,
MOHD ZUKI SALLEHe & SHARIDAN SHAFIEf
a,c,d,e
Faculty of Industrial Science & Technology
Universiti Malaysia Pahang
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26300 Kuantan, Pahang, Malaysia
[email protected], [email protected], [email protected], [email protected]
b
f
PO Box 66, Majmaah 11952, Arab Saudi
[email protected]
[email protected]
ABSTRACT
In this paper, unsteady magnetohydrodynamic (MHD) second grade fluid on free convection flow in a
porous medium past an infinite inclined plate is studied. The analytical solutions have been obtained by
using Laplace transform method under the boundary condition of ramped wall temperature. The analytical expressions for non-dimensional skin-friction, Nusselt number and Sherwood number are computed.
Result shows that the fluid velocity decreases and then increases on decreasing second grade parameter.
Keywords: porous medium; second grade fluid; unsteady free convection flow; Laplace transform;
ramped wall temperature.
MGI 30 - ADM SOLUTION FOR MHD BOUNDARY LAYER FLOW OVER A
NONLINEARLY STRETCHING SHEET IN THE PRESENCE OF VISCOUS
DISSIPATION
N.F.M. NOORa & I. HASHIMb
a
Universiti Malaya
[email protected]
43600 Bangi Selangor, Malaysia
b
ABSTRACT
EÆect of viscous dissipation on MHD thermal boundary layer flow over a nonlinearly stretching sheet
is studied. The Navier-Stokes equations and the heat equation are reduced to two nonlinear ordinary
diÆerential equations via similarity transformations. ADM approach is presented in the solution of the
resulting equations. The influences of various parameters on the velocity and temperature profiles are
also visualized and discussed.
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Keywords: ; ADM; viscous dissipation; nonlinear stretching.
MGI 31 - NUMERICAL SOLUTION OF CHENG-MINKOWYCZ NATURAL
CONVECTION NANOFLUID FLOW OVER A VERTICAL PLATE WITH ZERO
FLUX
NAJWA AHDA RAMLYa & N. F. M. NOORb
Institut Sains Matematik, Fakulti Sains
Universiti Malaya
a,b
ABSTRACT
The natural convection flow of nanofluid in Cheng-Minkowycz problem along a vertical plate is considered. The governing equations are converted into non-dimensional forms using similarity transformation
variables. The resulting system of nonlinear diÆerential equations is solved numerically. The influence of
diÆerent parameters are demonstrated through profiles of velocity, temperature and nanoparticle volume
fraction.
Keywords: nanofluid; natural convection flow; vertical plate, heat and mass transfer.
MGI 32 - RATIONAL CUBIC BALL CURVES FOR MONOTONE DATA
AYSER NASIR TAHATa , ABD RAHNI MT PIAHb & ZAINOR RIDZUAN YAHYAc
11800 USM Pulau Pinang, Malaysia
a,b
Engineering Mathematical Institute
Universiti Malaysia Perlis, Pauh Putra Campus
02600 Arau Perlis, Malaysia
[email protected]
c
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ABSTRACT
A problem of monotonicity preserving interpolation is discussed in this presentation. If a given set of data
is monotonic, we want the interpolant to also be monotonic. A rational interpolation scheme is developed.
This scheme utilizes piecewise rational cubic Ball functions with four shape parameters in its description.
Su±cient conditions to preserve the shape inherent in the data are derived. Three parameters will be
allowed for a designer to further refine or control the shape of the curve, if desired. The arithmetic mean
algorithm is used to approximate the first derivative at each data point. The degree of smoothness is C 1 .
A number of numerical examples are presented.
Keywords: Monotone Curve, Interpolation, Rational Cubic Ball.
MGI 33 - STABILITY ANALYSIS OF MHD THERMOSOLUTAL MARANGONI
CONVECTION BOUNDARY LAYER FLOW
ROHANA ABDUL HAMIDa & ROSLINDA NAZARb
Institute of Mathematical Engineering
Universiti Malaysia Perlis, Pauh Putra Campus
[email protected]
a
b
School of Mathematical Sciences, Faculty of Science and Technology
43600 UKM Bangi, Selangor, Malaysia
[email protected]
ABSTRACT
In this paper, the steady magnetohydrodynamic (MHD) Marangoni convection boundary layer flow over
a flat surface in the presence of the heat generation and the chemical reaction with the eÆects of the
fluid suction/injection is investigated. The governing equations are transformed into ordinary diÆerential equations using some similarity transformations which are then solved numerically using the bvp4c
function in Matlab. From the numerical results, dual solutions are found to exist within a certain range
of the thermosolutal surface tension ratio. A stability analysis is performed to determine the physically
realizable solution and it is found that the first solution is stable while the second solution is not stable.
Keywords: stability analysis; boundary layer; MHD; Marangoni convection; dual solutions.
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MGI 34 - KINEMATIC AND KINETIC STUDY OF LOWER LIMB SEGMENT IN
SKATING ACTIVITY
MARYAM SOFIA SAIPUDDINa & AZMIN SHAM RAMBELYb
a,b
43600 Bangi, Selangor, Malaysia
ABSTRACT
This study aims to develop an ankle joint model using Kane’s Method to obtain torque values at the
ankle joint during skating activity using roller blades. Two male and female subjects with mean age of
22 years, weight 52.8 kg and height 163.25 cm involved in the study. Recording and capturing of the
activities were accomplished using four infrared cameras and Nexus system was used to obtain kinematics
parameter. Equation of motion was obtained using Kane’s method and kinetics parameter was produced.
Results showed that higher torque value is obtained at the ankle joint compare to other joints during
outward rotational movement. This is due to greater force value is needed to stabilize oneself and prevent
from falling during spinning phase. In conclusion, torque value at the ankle joint is required to maintain
stability during rotational movement especially in skating activity.
Keywords: roller blades, Kane’s method; kinematic and kinetic.
MGI 35 - MODELING OF MICROBIAL APPROACH IN A WASTEWATER
TREATMENT PROCESS: A CASE STUDY OF MPHO IN TAMAN TIMOR
OXIDATION POND, JOHOR, MALAYSIA
AMIR S. A. HAMZAHa , AKBAR BANITALEBIb , ALI H. M. MURIDc , ZAINAL A. AZIZd ,
HAZZARITA RAHMANe , NORAZELAH HAMDONf
a,b,c,d
c,d
UTM Centre for Industrial and Applied Mathematics
J-Bio Microbe Industries Sdn. Bhd.
Jalan Mega 1/5, Taman Perindustrian Nusa Cemerlang
81550 Nusajaya, Johor, Malaysia
e,f
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ABSTRACT
In this study, we consider the application of biological based product mPHO that contains phototrophic
bacteria for degradation of pollutant (bacteria Coliform) in Taman Timor Oxidation Pond, Johor,
Malaysia. A mathematical model is developed to describe the reaction between microorganism and
pollutant. The model facilitates to determine the optimum amount of mPHO for achieving the maximum decontamination of pollutant in the oxidation pond. A partial diÆerential equation model with
coupled equation is developed, and the parameters of the model are estimated using the real data collected from the oxidation pond under study. The numerical simulations are also presented to illustrate
the performance of the proposed model.
Keywords: Mathematical Model; Phototrophic Bacteria; Oxidation Pond.
MGI 36 - MODELLING RELATIONSHIP OF PM10 CONCENTRATION AND
LOCATION OF AIR QUALITY MONITORING STATIONS IN MALAYSIA USING
NETWORK METHOD
NORSUHAILI MAHAMED RASIDIa , SAKHINAH ABU BAKARb & FATIMAH ABDUL RAZAKc
Pusat Pengajian Sains Matematik, Fakulti Sains Teknologi
43600 Bangi, Selangor
a,b,c
ABSTRACT
This study highlights the advantage of network analysis in assessing an air pollutant called as particulate
matters of size less the 10 micrometer, PM10 . The aim of the study is to build a network model based
on the concentration of PM10 data and the location of the air quality stations. Then, the behavior of
the model was studied using certain network measurements. The concentration data of PM10 and the
location of air quality monitoring stations in Malaysia were combined to obtain the correlation between
the selected 39 air quality monitoring stations. The network model, G = (V, E) consists of a set of
nodes, V representing air quality monitoring stations and a set of edges, E representing the correlation
value of the combined data. Threshold and simulation methods have been implemented to determine
the appropriate interval correlation on the network. In this study, five network measurements were used
to analyze the network which are degree centrality, closeness centrality, betweenness centrality, local
clustering coe±cient and local assortativity as well as the influence of the exact location of the stations
on the network model. Network analysis was performed to identify the important nodes (hubs) in the
network. The network model of air quality based on the concentration of PM10 and the exact location
of air quality monitoring stations were built successfully using the threshold value of 0.664. The results
show that several of air quality monitoring stations are suggested to be closed to optimize the number of
the stations in Malaysia.
§ 25 §
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Keywords: Optimization, air quality, PM10 , location of stations, network science.
MGI 38 - A COMPARISON BETWEEN ADOMIAN DECOMPOSITION METHOD
AND VARIATIONAL ITERATION METHOD FOR SOLVING DELAY
DIFFERENTIAL EQUATION WITH INITIAL CONDITION
HAMOOD. M. YOUSEFa & A. I. B. Md. ISMAILb
11800 USM, Pulau Pinang,Malaysia
a,b
ABSTRACT
The aim of this study is to obtain a semi-analytical solutions for linear and nonlinear delay diÆerential
equations by two diÆerent approaches. A semi-analytical approaches beads on Adomian Decomposition
method and Variational Iteration Method are presented. A comparative study between these methods is
illustrated by solving two examples involving linear and nonlinear Delay diÆerential equations.
Keywords: Adomian Decomposition Method; Delay diÆerential equations; Variational iteration method.
MGI 39 - INFLUENCE OF A UNIFORM MAGNETIC FIELD ON FERROFLUID
CONTAINING CYLINDRICAL SHAPED NANOPARTICLES FLOWING OVER AN
OSCILLATING PLATE WITH RAMPED WALL TEMPERATURE
ASMA KHALIDa , ILYAS KHANb & SHARIDAN SHAFIEc
a
b
a,c
Department of Mathematics
SBK Women’s University
Quetta 87300, Pakistan
[email protected]
Majmaah 11952, Saudi Arabia
[email protected]
§ 26 §
SKSM23
UTM, Johor Bahru
81310 UTM Johor Bahru, Johor
[email protected]
ABSTRACT
This paper studies the influence of a uniform magnetic field on ferrofluid containing cylindrical shaped
nanoparticles. Water is taken as base fluid. Two types of nanoparticles, magnetite (F e3 O4 ) and nonmagnetic (Al2 O3 ) are added to the base fluid. The flow is unsteady and the ferrofluid is considered as
an electrically conducting due to a uniform magnetic field applied in a perpendicular direction to the
plate. Flow is considered over an oscillating vertical plate with ramped wall temperature. The problem
is modelled in terms of partial diÆerential equation with physical conditions. Exact solutions of the
problem are foundusing the Laplace transform technique for both cases of ramped and isothermal wall
temperature. Corresponding results of velocity and temperature for F e3 O4 nanoparticles are plotted and
compared. It is found that ramp velocity and temperature are smaller in magnitude than isothermal
velocity and temperature. Comparative results of F e3 O4 and Al2 O3 are also studied. Expressions for
skin-friction and Nusselt number are computed in tables. In this work, cylindrical nanoparticles are
chosen because of their abundant applications in biology and medicine.
Keywords: Ferrofluids; MHD flow; cylindrical nanoparticles; magnetite (F e3 O4 ), non-magnetic (Al2 O3 ),
ramped wall temperature.
MGI 40 - THE STABILITY OF SORET INDUCED CONVECTION IN DOUBLY
DIFFUSSIVE FLUID LAYER WITH FEEDBACK CONTROL
NOR FADZILLAH MOHD MOKHTAR
a
Institut for Mathematical Research
Universiti Putra Malaysia
43400 Serdang, Selangor, Malaysia
[email protected]
a
ABSTRACT
Linear stability analysis is performed to study the Soret induced convection in a doubly diÆusive fluid
layer heated from below. The eÆect of a feedback control on the onset of steady convection is investigated
theoretically using Galerkin technique. The eigenvalues are obtained for free-free, rigid-rigid, free-rigid
boundaries combination with isothermal temperature boundary condition. The influence of various doubly diÆusive parameters on the onset of convection has also been analyzed. It is found that the onset of
motion can be stabilize by using the feedback control in all cases.
Keywords: double-diÆusive; stability analysis; feedback control.
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MGI 41 - IMPROVING THE PERFORMANCE OF CHILLI SAUCE
MANUFACTURING PROCESS USING SIMULATION APPROACH
CHOONG-YEUN LIONGa , SITI HAJAR AB HAMIDb & IREEN MUNIRA IBRAHIMc
a,b
c
Faculty of Computer and Mathematical Sciences
Universiti Teknologi MARA (Perak)
35400 Tapah, Perak, Malaysia
[email protected]
ABSTRACT
Small and Medium Enterprises (SMEs) plays an important role in the country economic development
and growth. Food processing industry is one of the industrial SMEs that has contributed to the national
economy and provides for the local needs. An increasing demand for better quality of food products
means food processing entrepreneurs need to improve on the quality of product and operation in order to
be competitive. Therefore, a study has been carried out on the operation of PM Agriculture and Trading
Company in producing chilli sauce products. A simulation model was developed using Arena software to
illustrate the processes involved in producing the chilli sauce. The simulation model was used to observe
the bottlenecks in the production process. The observations show that there are number of elements that
need to be focused on in order to increase the production, i.e. labour utilization time for each process,
processing time for each process, waiting time for each process, total number of production and total
number of labour. A number of improvement models have been developed to overcome the problems.
Analysis on the best improvement model indicates that an increase in production by 71 percent can be
achieved.
Keywords: simulation model; Arena; waiting time; processing time; manufacturing.
MGI 42 - MAGNETO-CONVECTION IN AN INCLINED LID-DRIVEN CAVITY
WITH NON-UNIFORM HEATING ON BOTH SIDEWALLS
S. SIVASANKARANa
a
Universiti Malaya
[email protected]
ABSTRACT
§ 28 §
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UTM, Johor Bahru
An unsteady combined magneto-convective flow and heat transfer in an inclined lid-driven square cavity
with sinusoidal boundary temperature at the vertical sidewalls in the presence of uniform magnetic field is
numerically investigated. The top and bottom walls of the cavity are thermally insulated. The governing
equations are numerically solved by using finite volume method. Results are discussed for the various
combinations of the governing parameters, inclination angle of the cavity, phase deviation, amplitude
ratio, Richardson number and the Hartmann number. The non-uniform heating provides a better heat
transfer than a constant temperature distribution.
Keywords: mixed convection; MHD; inclined cavity; amplitude ratio; phase deviation.
MGI 43 - THE ONSET OF RAYLEIGH-BNARD ELECTROCONVECTION IN A
MICROPOLAR FLUID WITH THE PRESENCE OF FEEDBACK CONTROL AND
PARABOLIC TEMPERATURE PROFILE
ZAILAN SIRIa , ADIBAHb & ROSE IRNAWATY IBRAHIMc
Institute of Mathematical Sciences
Universiti Malaya
[email protected], nazdila [email protected]
a,b
Faculty of Science and Technology
Universiti Sains Islam Malaysia
71800 Bandar Baru Nilai, Negeri Sembilan, Malaysia
[email protected]
c
ABSTRACT
The onset of Rayleigh-Bnard electro convection in micropolar fluid with the presence of feedback control
is analysed using the classical linear stability analysis. Parabolic and inverted parabolic temperature
profile is used in the study. The influence of various parameters has been analysed. The results showed
that the onset of convection can be delayed in the presence of feedback control.
Keywords: Rayleigh-Bnard; electroconvection; micropolar fluid; feedback control; parabolic temperature profile.
MGI 44 - BIRKHOFF AVERAGES FOR KELLER’S SKEW PRODUCT SYSTEM
UMMU ’ATIQAH MOHD ROSLANa & PETER ASHWINb
§ 29 §
SKSM23
UTM, Johor Bahru
[email protected]
a
b
Center for Systems, Dynamics and Control, CEMPS, Harrison Building
University of Exeter, Exeter, EX4 4QF, United Kingdom
[email protected]
ABSTRACT
We study a skew (asymmetric) product dynamical system proposed by Keller (2014) where we investigate
diÆerent behaviour of invariant graph by finding its critical values of parameter r. It is well-known that
invariant graph connects between the base space to the fibre space of skew product systems. We are
also interested to examine the BirkhoÆ averages for periodic points of Markov map where these points
are computed by the method of symbolic dynamics. In addition, we work towards the spectrum of these
averages where we manage to produce graph of periodic points with their associated averages. From
this result, we verify that period-1 orbit maximizes the measure (i.e. the average) while period-3 orbit
minimizes the measure (i.e. the average).
Keywords: skew product dynamical systems; BirkhoÆ averages; symbolic dynamics.
MGI 45 - HARMONIC POLYGON’S METHOD FOR SOLVING NONLINEAR
ORDINARY DIFFERENTIAL EQUATION PROBLEMS
NURHAFIZAH MOZIYANA MOHD YUSOPa & ,MOHAMMAD KHATIM HASANb
a
Science Computer Department, Faculty of Defense Science and Technology
Universiti Pertahanan Nasional Malaysia
57000, Kuala Lumpur, Malaysia
[email protected]
Faculty of Technology and Science
Universiti Kebangassan Malaysia
43600 Bangi, Malaysia [email protected]
a,b
ABSTRACT
There are many benefits to improve methods of Euler for solving Ordinary DiÆerential Equation (ODE)
problems. The Euler methods oÆer benefits such as simple implementation and low cost computational
application. However the accuracy and instabilities factor persuades researcher to use another complex
method to replace Euler methods. In this paper, we develop an algorithm applying Harmonic Mean on
modified Euler methods to solve the nonlinear ODE problems. The main purpose of this research is to
proposed new algorithm that called is Harmonic Polygon’s method. The Harmonic Polygon’s Method
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can provide new advantages that Euler method can oÆer. Four set of nonlinear ODE problems are solved
via three method which is Euler method, Polygon’s method and Harmonic Polygon’s method. The result
obtain shows that Harmonic Polygon’s method produce high accuracy results.
Keywords: Modified Euler; Nonlinear; Euler.
MGI 46 - THE PERFORMANCE OF FIXED AND VARIABLE STEP SIZE
ALGORITHMS IN SIMULATING THE SOLUTION OF STOCHASTIC MODEL
NOOR AMALINA NISA ARIFFINa & NORHAYATI ROSLIb
Faculty of Science & Industrial Technology
Universiti Malaysia Pahang, Lebuhraya Tun Razak
26300 Gambang, Pahang, Malaysia
a,b
ABSTRACT
Modelling of the physical systems by using stochastic diÆerential equations (SDEs) have become an intensive research over last few years. However, the analytical solution of SDEs is often hard to be found.
Hence solving this model numerically is required. Stochastic models predict the behavior of the state process that subject to noise. The implementation of fixed step size in simulating the solution of stochastic
model is sometime become ine±cient. Variable time-stepping algorithm for integrating SDEs is more e±cient than their fixed step size counterparts. This paper is devoted to the investigation the performance of
simulating the solution of stochastic model by using fixed and variable time-stepping schemes. Numerical
algorithms of fixed and variable step size of stochastic Runge-Kutta method are presented. Numerical
experiment is performed to show the eÆectiveness of variable time-stepping approach in comparing with
fixed step size counterparts.
Keywords: stochastic diÆerential equation; fixed step size; variable time-stepping; algorithm (please
give 3-5 keywords).
MGI 47 - MODELLING THE CANCER GROWTH PROCESS BY STOCHASTIC
DIFFERENTIAL EQUATIONS WITH THE EFFECT OF HEPARAN SULFATE (HS)
AS ANTICANCER THERAPEUTICS
MAZMA SYAHIDATUL AYUNI MAZLANa , NORHAYATI ROSLIb & NINA SUHAITY AZMIc
Faculty of Industrial Sciences and Technology
Universiti Malaysia Pahang, Lebuhraya Tun Razak
26300 Gambang, Pahang
a,b,c
§ 31 §
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UTM, Johor Bahru
ABSTRACT
A stochastic model is introduced to describe the growth of cancer aÆected by anticancer therapeutics
of Heparan Sulfate (HS). The parameters values of the stochastic model are estimated via maximum
likelihood function. The numerical method of 4-stage stochastic Runge-Kutta (SRK4) will be employed
to solve the model numerically. The e±ciency of the stochastic model is measured by comparing the
simulated result with the experimental data. Low values of root mean-square error (RMSE) of stochastic
model with random eÆect indicate good fit.
Keywords: Stochastic model; Heparan Sulfate; maximum likelihood method; 4-stage stochastic Runge
Kutta.
MGI 48 - CONVECTIVE BOUNDARY CONDITIONS FOR MIXED CONVECTION
FLOW OF A HORIZONTAL CIRCULAR CYLINDER IN A NANOFLUID
NORHAFIZAH MD SARIFa , NAZILA ISHAKb , HASMAWANI HASHIMc , MUHAMMAD KHAIRUL
ANUAR MOHAMEDd , ABID HUSSANANe , MOHD ZUKI SALLEHf & ROSLINDA MOHD NAZARg
Applied & Industrial Mathematics Research Group, Faculty of Industrial Sciences & Technology
26300 UMP Gambang, Pahang, Malaysia
[email protected], [email protected], [email protected], baa [email protected],
abidhussnain utm @yahoo.com, [email protected]
a,b,c,d,e,f
g
School of Mathematical Sciences, Faculty of Science & Technology
[email protected]
ABSTRACT
The steady mixed convection flow over horizontal circular cylinder in nanofluid has been investigated
numerically for the case of convective boundary conditions where the bottom surface of the cylinder is
heated by convection from hot fluids. Three diÆerent types of nanoparticles namely Cu (cuprum), Al2 O3
(aluminium) and T iO2 (titanium) The steady mixed convection flow over horizontal circular cylinder in
nanofluid has been investigated numerically for the case of convective boundary conditions where the
bottom surface of the cylinder is heated by convection from hot fluids. Three diÆerent types of nanoparticles namely Cu (cuprum), (aluminium) and (titanium) were considered. These nanoparticles presence
in the fluids increases the thermal conductivity up to approximately two times and thus enhancing the
performance of the heat transfer. Nanofluid model proposed by Tiwari and Das has been chosen in this
study as this model has been successfully applied in several papers. The governing equations for this
problem consists a set of partial diÆerential equations and are being solved using implicit finite diÆerence
§ 32 §
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techniques. Result for the skin friction coe±cient, Nusselt number, as well as temperature and velocity
profile are presented for the various values of governing parameters, namely the Prandtl number Pr,
mixed convective ∏, nanoparticle volume fraction ¡, the coordinate along the surface of the cylinder x
and conjugate parameter ∞. In this study, the eÆects of these governing parameters on the heat transfer
and boundary flow are thoroughly analysed and discussed.
Keywords: mixed convection; nanofluids; convective boundary conditions; horizontal circular cylinder;
numerical methods; boundary layer.
MGI 49 - CONSISTENT LINGUISTIC FUZZY PREFERENCE RELATION WITH
MULTI-GRANULAR UNCERTAIN LINGUISTIC INFORMATION FOR SOLVING
DECISION MAKING
SITI AMNAH BINTI MOHD RIDZUANa & DAUD MOHAMAD SECONDb
a,b
Department of Mathematical Sciences, Faculty of Computer and Mathematical Science
UiTM, Shah Alam, Selangor, Malaysia
[email protected] , [email protected]
ABSTRACT
Multi-granular information in decision making is an approach used to cater heterogeneity in the evaluation
process which normally presented using linguistic form. It may sometimes occur that decision maker use
non homogeneous scales in the evaluation. This will increase the complexity in computation. This
paper proposed a hybrid decision making model that combines the multi-granular uncertain linguistic
information and consistent linguistic preference relations (CLFPR) to cater this problem. The proposed
method ables to evaluate the alternatives or criteria based on the diÆerent opinion with a diÆerent scales
and at the same time using a minimum number of pairwise comparisons. The method uses several
interval form of linguistic judgment as its multi-granular representation to give decision makers flexibility
in the evaluation. The evaluation will be aggregated into CLFPR values and the final preference of the
alternative will be determined using a method of ranking fuzzy numbers. An illustrative example will be
given to show the eÆectiveness of the proposed method.
Keywords: Multi-granular uncertain linguistic information; Consistent linguistic fuzzy preference relations (CLFPR); Ranking fuzzy numbers.
MGI 50 - THE EFFECT OF INCOMPLETE MIXING ON CUBIC AUTOCATALYSIS
IN A CONTINUOUS STIRRED TANK REACTOR
AISHA ALIYU YAKUBUa & YAZARIAH MOHD YATIMb
§ 33 §
SKSM23
UTM, Johor Bahru
a,b
ABSTRACT
In this study, a cubic autocatalytic reaction model with linear decay in a continuous stirred tank reactor is
analyzed. It describes the behavior of two chemicals (reactant and autocatalyst) flowing into the reactor.
The tank is partitioned into two compartments, namely the highly agitated region and the less agitated
region with chemical transfer between them. The behavior of the model is studied numerically in the
presence and in the absence of an autocatalyst. The model shows that in the presence of an autocatalyst,
there is a slight diÆerence in the concentration of the chemicals in the diÆerent compartments. The
chemicals in the highly agitated region will reach an equilibrium state faster than that of the less agitated
region, with the concentration of the reactant decreases while the concentration of the autocatalyst
increases. In the absence of the autocatalyst, the concentration of the reactant increases until it reaches
an equilibrium state.
Keywords: Continuous stirred tank reactor; cubic autocatalysis; incomplete mixing.
MGI 51 - ADOMIAN DECOMPOSITION METHOD WITH CHEBYSHEV
POLYNOMIALS FOR SOLVING FUZZY DIFFERENTIAL EQUATIONS
AMIRAH RAMLIa , ROKIAH @ ROZITA AHMADb , UMMUL KHAIR SALMA DINc & ABDUL
RAZAK SALLEHd
a,b,c,d
ABSTRACT
In this paper an Adomian decomposition method with Chebyshev polynomials is applied for solving
fuzzy diÆerential equations based on generalized Hukuhara diÆerentiability. This paper is divided into
six sections. A numerical example are given to illustrate the e±ciency of the method and the comparison
with the existing method is discussed.
Keywords: Adomian decomposition method; Chebyshev polynomial; Fuzzy diÆerential equations, Hukuhara
diÆerentiability.
§ 34 §
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UTM, Johor Bahru
MGI 52 - PRODUCT DESIGN BASED ON SOFT SET THEORY
R.U. GOBITHAASANa , NURFARHANA HASSANb & KENJIRO T. MIURAc
Faculty of Informatics & Applied Mathematics
21030 Kuala Terengganu, Malaysia
a,b
Dept. of Engineering
Shizuoka University
Hamamatsu Campus, Japan
[email protected]
c
ABSTRACT
The first stage of product design is a simple sketch by a stylist. The features of the product can easily
be expressed using words, for example, thin, sharp and etc. This paper delves into a preliminary stage
of product design based on the needs of potential customers. Taking into consideration of an anatomy
of a speaker, we first classify its main feature which attracts potential customers. These features are
expressed using appropriate semantics which is represented with suitable variations of words. The final
speaker design is proposed based on the selections of words expressed by the customer using soft set
theory. The outcome of the design obtained from sot set is then compared to the preference of the
customer to identify the significance of the study.
Keywords: Computer aided geometric design; soft set; product design.
MGI 53 - OPTIMIZATION OF UPPER EXTREMITY MUSCLES DURING ARCHERY
ACTIVITY
MUHAMMAD SHAHIMI ARIFFINa & AZMIN SHAM RAMBELYb
a,b
msa.mushariÆ@gmail.com, [email protected]
ABSTRACT
This study aimed optimize muscle stress forces capable of doing the work during archery activity. An
upper limb model of a body was developed comprised of 12 muscles and six joints of the arm segments
and the upper trunk. Optimization method using Lagrange multiplier was applied to obtain the muscle
stress during the performance of archery. The objective functions involved were non-linear functions of
quadratic and cubic. The best solution for the muscle stress forces were obtained from part E of the draw
arm and part H for the bow arm in the simulation.
§ 35 §
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Keywords: archery; optimization; Lagrange multiplier.
MGI 54 - NETWORK MODELING OF PM10 CONCENTRATION IN MALAYSIA
MUHAMMAD NAZIRUL AIMAN ABU SUPIANa , SAKHINAH ABU BAKARb & FATIMAH ABDUL
RAZAKc
43600 Selangor, Malaysia
a,b,c
ABSTRACT
Air pollution is not a new phenomena in Malaysia. The Department of Environment (DOE) monitors the
country’s ambient air quality through a network of 51 stations. The air quality is measured using the Air
Pollution Index (API) which is mainly recorded based on the concentration of particulate matter, PM10
readings. The continuous air quality monitoring (CAQM) stations are located in various places across the
country. In this study, a network model of air quality based on PM10 concentration for selected CAQM
stations in Malaysia has been developed. The model is built using a graph formulation, G = (V, E) where
vertex, V is a set of CAQM stations and edges, E is a set of correlation values for each pair of vertices.
The network measurements such as degree distributions, closeness centrality, and betweenness centrality
are computed to analyse the behaviour of the network. As a result, a rank of CAQM stations has been
produced based on their centrality characteristics.
Keywords: air quality; network modeling; centrality; PM10 ; network science.
MGI 55 - STABILITY ANALYSIS OF MHD STAGNATION POINT FLOW TOWARDS
A PERMEABLE STRETCHING / SHRINKING SURFACE IN A CARREAU FLUID
KOHILAVANI NAGANTHRANa & ROSLINDA NAZARb
a,b
kohi [email protected], [email protected]
ABSTRACT
§ 36 §
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In this study, the magnetohydrodynamics (MHD) stagnation point boundary layer flow of a Carreau
fluid towards a permeable stretching/shrinking surface (sheet) is considered. The governing boundary
layer equations are transformed to a system of ordinary diÆerential equations from the system of partial
diÆerential equations by using the similarity transformation, so that it can be solved numerically by
the bvp4c programme in Matlab software. The variations of the numerical solutions for the skin friction
coe±cients as well as the velocity profiles are obtained for several values of the governing parameters. It is
found that dual solutions exist when the sheet is stretched and shrunk. Stability analysis is performed to
determine which solution is stable and valid physically. Results from the stability analysis show that the
first solution (upper branch) is stable and physically realizable, while the second solution (lower branch)
is unstable.
Keywords: stability analysis; Carreau fluid; stretching/shrinking sheet; boundary layer; MHD.
MGI 56 - A HYBRID FUZZY CLASSIFIER WITH PARTICLE SWARM
OPTIMIZATION FOR CLASS IMBALANCE CLASSIFICATION
AIDA ALIa , SITI MARIYAM SHAMSUDDINb & ANCA L. RALESCUc
UTM Big Data Centre
a,b
c
School of Computing Science and Informatics
University of Cincinnati
Ohio, USA
[email protected]
ABSTRACT
Most current classification approaches assumed the underlying training set is evenly distributed. In
learning class imbalanced classification, the training set for one class (majority) far surpassed the training
set of the other class (minority), in which, existing accuracy-driven methods report bias performance
results. In class imbalance learning, the main challenge is not solely on imbalanced class distribution
but on the degree of data overlapping between classes. Large number of features in data sets with class
imbalance problem, leads to a crucial need to find relevant features since not all features are discriminant.
Also, feeding a system with all irrelevant features may reduce the accuracy performance of some classifiers
and introduce expensive computing cost. Fuzzy Classifier (FC) is used as a new strategy in addressing
not only the class imbalance problem but also in improving the classification by taking into account the
distribution of data within each class. The experiments investigate the eÆect of imbalanced datasets of
various class distributions on Fuzzy Classifier. In this study, a novel hybridization of Fuzzy Classifier
with a wrapper based method using Particle Swarm Optimization (PSO) for feature selection scheme is
proposed. Comparison studies are carried out to evaluate the proposed methods in classifying imbalanced
data sets with standard Fuzzy Classifier, Nave Bayes (NB), Support Vector Machine (SVM) and k-Nearest
§ 37 §
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Neighbour (k-NN). Evaluation analysis shows that the proposed method demonstrate better classification
performance compared to other methods especially in the case of extremely imbalanced datasets with
highly overlap problem.
Keywords: imbalanced dataset; class imbalance learning; classification; optimization; Fuzzy classifier.
MGI 57 - A TWO-PHASE ITERATIVE PROCEDURE FOR THE
PRODUCTION-INVENTORY-DISTRIBUTION ROUTING PROBLEM
DICKY LIM TEIK KYEEa & NOOR HASNAH MOINb
Universiti Malaya
[email protected], noor [email protected]
a,b
ABSTRACT
With globalization, the need to better integrate production and distribution decisions has become ever
more pressing for manufacturers trying to streamline their supply chain. The integration of Production,
Inventory and Distribution Routing Problem (PIDRP) presents a challenging problem for manufacturers
trying to optimize their supply chain. In this paper, the PIDRP is modelled as a one-to-many distribution
system, in which a single warehouse or production facility is responsible for restocking a set of customers
whose demands are deterministic and time-varying. The demand can be satisfied from either inventory
held at the customer sites or from daily production. A fleet of homogeneous capacitated vehicles for
making the deliveries is also considered. Capacity constraints for the inventory are given for each customer
and the demand must be fulfilled on time, without delay. The aim of solving the PIDRP model is to
minimize the overall cost of coordinating the production, inventory and transportation over a finite
planning horizon. We propose an iterative procedure commonly known as MatHeuristic algorithm, an
optimization algorithm designed by the interpolation of metaheuristics and mathematical programming
techniques, to solve the model. In Phase 1, we construct routes in each period with the assumption
that all the demands are satisfied in the given period by Variable Neighborhood Search, then the mixed
integer programming is solved in Phase 2 to obtain the production schedules, quantity to be delivered
and the inventory levels at the production facility and the customer sites. Based on the output from
Phase 2, the routes are improved and the algorithm iterates until some stopping criteria is met. The
model is solved by using Concert Technology of CPLEX 12.5 Optimizers with Microsoft Visual C++
2010. Computational experiment is conducted to test the eÆectiveness of the algorithm.
Keywords: Production-Inventory-Distribution Routing Problem; MatHeuristics; Mixed Integer Programming; Variable Neighbourhood Search.
§ 38 §
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MGI 58 - MATHEMATICAL ANALYSIS FOR UNSTEADY DISPERSION OF SOLUTE
WITH CHEMICAL REACTION IN BLOOD FLOW
NURUL AINI JAAFARa , YAZARIAH MOHD YATIMb & D. S. SANKARc
nurulaini [email protected], [email protected]
a,b
Engineering Mathematics Unit, Faculty of Engineering
Institut Teknologi Brunei
Jalan Tungku Link, Gadong BE 1410, Brunei Darussalam
sankar [email protected]
c
ABSTRACT
The eÆect of the chemical reaction on the unsteady dispersion of solute in blood flow through (i) pipe
and (ii) channel between parallel plates is analyzed mathematically, assuming the blood as Casson fluid.
Derivative series expansion method is applied to solve the resulting convective diÆusion equation. It
is found that the dispersion coe±cient, eÆective axial diÆusivity, relative eÆective axial diÆusivity and
magnitude of the dispersion function decrease with the increase of the rate of chemical reaction. The
aforesaid flow measurements are considerably higher when the solute disperses in the flow through pipe
than when it disperses in the flow through channel between parallel plates. Estimates of the percentage of
decrease in the dispersion coe±cient and eÆective axial diÆusivity are significantly lower when the solute
disperses in pipe than when it disperses in channel between parallel plates.
Keywords: Unsteady dispersion of solute; Chemical reaction; Blood flow; Casson fluid model; EÆective
axial diÆusivity.
MGI 59 - MODIFIED ARTIFICIAL BEE COLONY FOR THE INTEGRATED
INVENTORY ROUTING PROBLEM WITH BACKORDERING
HUDA ZUHRAH AB HALIMa & NOOR HASNAH MOINb
Institut Sains Matematik
Universiti Malaya
[email protected], noor [email protected]
a,b
ABSTRACT
We consider a one to many inventory routing problem network consisting of a depot and geographically
dispersed customers. We assume that the depot has su±cient supply of items that can cover customers’
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demand throughout the planning horizon. A fleet of heterogeneous vehicles transports a single item to
meet the customers’ demand. A holding cost is incurred at the customers’ site and backorders with
penalty are allowed. The backorder may occur due to insu±cient vehicle capacity or when the backorder
cost is less than the transportation cost, making it more economical to delay the orders. The objective
of Inventory Routing Problem with Backorder (IRPB) is to minimize the overall cost comprising of
the transportation cost, inventory holding cost and the backorder cost. In this paper, a swarm based
heuristics; Artificial Bee Colony (ABC) is developed to solve the IRPB. We modify the ABC algorithm
by incorporating an exchange neighborhood heuristics with the aim of reducing the backorder as well as
the inventory. The backward transfer is used to reduce the backorder whilst the forward transfer focuses
on decreasing the inventory. Both mechanisms are implemented concurrently and we allow the transfer to
at most one period. We run the algorithm on a set of benchmark problems and the results are compared
to Abdelmaguid et al (2009).
Keywords: Artificial Bee Colony, Inventory Routing, Backordering.
MGI 60 - VISUALIZATION OF VIBRATION OF IDEAL AND REALISTIC STRINGS
IN AN ACOUSTIC GUITAR BY USING MATHEMATICA
AHMAD ALIF BIN KAMALa & YAZARIAH MOHD YATIMb
School Of Mathematical Sciences
aak13 [email protected], [email protected]
a,b
ABSTRACT
In this project, the research on vibration of acoustic guitar string in ideal and realistic environment is
studied and visualized by using Mathematica software. The one dimensional wave equation is used and
modified to model the ideal and realistic string and solved by the method of separation of variables to
obtain the displacement function of the string. The general equations that govern the ideal, damped,
stiÆ, and damped stiÆ string lead to diÆerent assumption and require other physics aspects to obtain the
solutions. Fourier series is applied to obtain values for important constant in the solutions. A program
is made to allow users to input plucking height, plucking position, natural frequency of string, damping
coe±cient, and stiÆness parameter to observe the diÆerent modes of vibration on the string. The outputs
of the program are the fundamental tone and overtones or harmonics of the string, as well as the timbre of
the sound produced by the modelled string. Plucking height aÆects the amplitude of the displacement of
the string. With manipulation of plucking position, the changes can be seen in the diversity of amplitude
distribution. As for natural frequencies, the higher it is the more the oscillation happened in equal time
interval. Large damping coe±cient makes the vibration of string to reach the equilibrium position faster.
Greater value of stiÆness parameter induces more frequencies in the shape of vibration. For an ideal
string, the displacement oscillates in an infinitely constant manner, in contrast to the damped string
where the displacement approaches its equilibrium position as time approaches infinity. In stiÆ string,
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the oscillation is infinite, but the period of vibration is reduced and stiÆness complicates the waveform.
The damped stiÆ string has both qualities in it and is used to reproduce the sound of acoustic guitar.
Keywords: mathematical modelling; wave equation; damped string; stiÆ string; acoustic guitar.
MGI 61 - INVENTORY MODEL FOR A MULTI-STAGE PALM OIL MILL
ADAM BAHARUMa & ELAINE LAU YING MANb
[email protected]
a,b
ABSTRACT
In the palm oil industry, production cost for crude palm oil varies from time to time. Therefore, accurate
decisions on production volume and timing are critical. The major cost influencing factors and specific
unit cost involved in production of crude palm oil can be obtained by adopting economic lot size inventory
models. This helps the palm oil millers to make accurate decision as well as optimizing the production
cost. This paper attempts to incorporate the economic lot size models in the palm oil industry to identify
the major cost influencing factors in its production. The compatibility of inventory control models with
the current industry constraints and procedures were examined in order to determine the usefulness of
the economic lot size models in this particular industry.
Keywords: inventory, varying lot size, equal-unequal sized batches.
MGI 62 - PRICING OF NEW YORK TEMPERATURE INDEX INSURANCE
MUKMINAH DARUSa & CHE MOHD IMRAN CHE TAIB
a
ABSTRACT
This paper discusses the autoregressive processes to model the temperature dynamics. We take the
data of daily average temperatures (DATs) from New York as our empirical case. The analysis shows
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the appropriateness of autoregressive in fitting the temperature dynamics. We employ the findings to
price the temperature based weather insurance. In addition, we also compare the result of dynamical
temperature modelling with result from burn analysis. Burn analysis was known as classical approach.
Keywords: daily average temperatures; autoregressive processes; temperature dynamics.
MGI 63 - MHD FLOW PAST A VERTICAL PLATE THAT APPLIES ARBITRARY
SHEAR STRESS TO THE FLUID WITH RAMPED WALL TEMPERATURE
ARSHAD KHANa , ILYAS KHANb & SHARIDAN SHAFIEc
a,c
arsh [email protected], [email protected]
b
[email protected]
ABSTRACT
This paper concentrates on the exact analysis of free convection flow of viscous fluid past a vertical
plate with arbitrary shear stress and ramped wall temperature. The fluid is considered to be electrically
conducting and passing through a porous medium. The partial diÆerential equations governing the
problem are first written in dimensionless form and then solved for the exact solutions using Laplace
transform method. The velocity and temperature for various parameters of interest are underlined. It is
found that velocity is decreasing function of wall shear stress in both cases of ramped and constant wall
temperature.
Keywords: Free convection; Wall Shear stress; Ramped wall temperature; MHD
MGI 64 - APPROXIMATIONS OF STOCHASTIC NAVIER-STOKES EQUATION BY
USING STOCHASTIC FINITE DIFFERENCE
HUSNA NURAIIN HAMIDIa , ZAINAL ABDUL AZIZb & ARIFAH BAHARc
a
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UTM-Centre of Industrial and Applied (UTM-CIAM)
ABSTRACT
Navier-Stokes equations describe the nonlinear physical system of the motion of viscous fluid substances.
However, due to the presence of noise in the physical system as temporal fluctuation of its internal
variables, stochastic Navier-Stokes equations need to be developed. Stochastic Navier-Stokes equations
describe the nonlinear dynamics of stochastic processes defined on space-time continuum and have been
widely used to model many applications in engineering and mathematical sciences. In this paper, we
considered the numerical solutions of stochastic linearized Navier-Stokes equations of Ito type using
stochastic finite diÆerence methods. Besides, the convergence, consistency and stability are presented for
the numerical scheme.
Keywords: Stochastic Navier-Stokes; Saul’yev Method; Saul’yev/Robert and Weiss Method.
MGI 65 - SIMULATION OF LOTKA VOLTERRA MODEL USING SOME
NON-STANDARD SCHEMES
MOHAMMAD KHATIM HASANa , JUMAT SULAIMANb & SAMSUL ARIFFIN AMDUL KARIMc
a
Center for Artificial Intelligence Technology, Faculty of Information Science and Technology
[email protected]
b
School of Science and Technology
Universiti Malaysia Sabah
84800 Kota Kinabalu, Sabah
[email protected]
Department of Fundamental and Applied Science
Universiti Teknologi PETRONAS, Bandar Seri Iskandar
31750 Tronoh, Perak
samsul ari±[email protected]
c
ABSTRACT
In this paper, we will simulate behavior of Lotka-Volterra model using various scheme of non-standard
finite diÆerence method. The method will be compared with result of Runge-Kutta-Fehlberg. The model
incorporate interference between predators and prey, which stabilize interactions. Non-standard schemes
with various non-local modelling and denominators will be implemented to simulate the model. The
behaviour of the simulation will be compared and analysed.
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Keywords: Lotka-Volterra; non-standard method; predator-prey interaction.
MGI 68 - MATHEMATICAL MODELING OF FREE CONVECTION BOUNDARY
LAYER FLOW ON SOLID SPHERE WITH VISCOUS DISSIPATION EFFECTS
MUHAMMAD KHAIRUL ANUAR MOHAMEDa , MOHD ZUKI SALLEHb , NOR AIDA ZURAIMI
MD NOARc & ANUAR ISHAKd
a,b,c
Applied & Industrial Mathematics Research Group, Faculty of Industrial Science and Technology
26300 UMP Kuantan, Pahang, MALAYSIA
baa [email protected], [email protected], [email protected]
d
43600 UKM Bangi, Selangor, MALAYSIA
anuar [email protected]
ABSTRACT
Present study considered the mathematical modeling of free convection boundary layer flow on a solid
sphere with viscous dissipation eÆects and constant wall temperature. The nonlinear parabolic partial
diÆerential equations are transformed by non-dimensional variables before being solved numerically using
the finite diÆerence scheme known as Keller-box method. Numerical solutions are obtained for the local
Nusselt number and skin friction coe±cient as well as temperature and velocity distributions. The features
of the flow and heat transfer characteristics for various values of Prandtl number and Eckert number are
analyzed and discussed. It is found that, as Prandtl number increases, the Nusselt number increases while
skin friction coe±cient decreases. Contrary with Eckert number, the increase of Eckert value results to
the decrease of Nusselt number while skin friction coe±cient increases.
Keywords: Boundary layer flow; Free convection; Solid sphere; Viscous dissipation.
MGI 69 - DENOISING USING NEW THRESHOLDING METHOD
SAMSUL ARIFFIN ABDUL KARIMa , MOHD TAHIR ISMAILb , MOHAMMAD KHATIM HASANc ,
JUMAT SULAIMANd & HAMZAH SAKIDINe
a,e
Department of Fundamental and Applied Sciences, Universiti Teknologi PETRONAS, Bandar Seri
Iskandar, 31750 Tronoh, Perak Darul Ridzuan, Malaysia
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samsul ari±[email protected], [email protected]
b
School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM Minden, Penang, Malaysia
[email protected]
Jabatan Komputeran Industri
[email protected]
c
Program Matematik dengan Ekonomi
Universiti Malaysia Sabah
Beg Berkunci 2073, 88999 Kota Kinabalu, Sabah, Malaysia
[email protected]
d
ABSTRACT
This paper discusses the wavelet transform by using new technique to calculate the threshold values.
Our new threshold methods was used to denoise the signal that obtained from Petroleum Engineering
applications. From numerical results the new threshold values outperform the common threshold methods
such as global threshold, minimax and SURE. Some mathematical derivation will be discussed in details.
Keywords: wavelet transform; threshold values; denoising.
MGI 70 - EXACT SOLUTIONS AND LATTICE BOLTZMANN MODELING FOR
SHALLOW WATER EQUATIONS
Sara Zergania
a
Department of Mathematics, Faculty of Science
81310 Skudai Johor Bahru Malaysia
[email protected]
ABSTRACT
The main purpose of this study is to investigate the standard of Lattice Boltzmann Method (LBM)
for shallow water flows in order to handle two dimensional flows. The LBM and its implementation in
solving Shallow Water Equation (SWE) for physically significant nonlinear partial diÆerential equations
were also studied.An analytical solution of steady and two dimensional SWE was derived from a cubic
algebraic form of SWE, and obtained the analytical solution of unsteady and two-dimensional SWE from
sub inertial and super inertial frequency quadratic algebraic form of SWE. The numerical solution of
the two dimensional SWE was generated by applying the LBM. The LBM numerical result of SWE was
then compared graphically with the SWE result obtained via the finite diÆerence method (FDM). Our
findings revealed that simulation via LBM is more stable than FDM in the microscopic sense.
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Keywords: Shallow Water Equations, Lattice Boltzmann Method, Two Dimensional Flows.
MGI 71 - A NEW TYPE OF FUZZY CONTROL POINT IN SPACE CURVE
ABD FATAH BIN WAHABa , MOHD SALLEHUDDIN HUSAINb & MOHAMMAD IZAT EMIR
ZULKIFLYc
Pusat Pengajian Informatik & Matematik Gunaan
[email protected], salleh [email protected], emir [email protected]
a
ABSTRACT
The control point is the most important element in the production of Spline curve or surface model. This
is because any changes of control points in the spline model eÆect the shape of the resulting curve or
surface. Wahab and colleagues have introduced fuzzy control points to solve the problem of uncertainty
prevailing in the spline modeling. However, based on this concept, this paper will discusses a new type of
fuzzy control point that can generates a spline space curve model in 3-dimensional. This is because the
generated control point is a 3-dimensional that meets the basic concepts of fuzzy set was introduced by
Zadeh. However, this paper only taking a Bezier model as a numerical example in the discussed model.
Keywords: space curve; fuzzy set; spline; control point.
MGI 72 - COORDINATION OF PRODUCTION SCHEDULING AND VEHICLE
ROUTING PROBLEM WITH RELEASE AND DUE DATE
FARHANA JOHARa , SYARIFAH ZYURINA NORDINb & CHRIS POTTSc
a,b
c
[email protected]
School of Mathematics, Faculty of Social and Human Sciences
University of Southampton
SO17 1BJ United Kingdom
[email protected]
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ABSTRACT
This work is concerned with solving the vehicle routing problem (VRP) which takes into account the
customer’s release and due date. The problem studied can also be categorized as a non-classical VRP
as the departure times of vehicles depend on the dates of orders released from the production line and
become available for the distribution process.
The problem is investigated through two stages. In the first stage, vehicle routing problem with
release and due date (VRPRDD) is treated. At the beginning of the planning, it is assumed that the
dates where the customer orders become available are known. A mathematical formulation is developed
to represent the problem which solved by several heuristics, i.e. Variable Neighborhood Search (VNS),
Large Neighborhood Search (LNS) and Tabu Search (TS). The algorithms are written in C++ and run
on a PC computer with an Intel PentiumCore by using 56’s Solomon instances with some modification.
DiÆerent kinds of vehicle routing problem have been tackled in order to see the performance of proposed
heuristics. The results are then compared in order to find the best method which yields the least routing
cost solution. From the outcome obtained, VNS is proved to be the best algorithm which generates the
least cost solution to our problem.
Further investigation has been carried out in stage two which considers the extension of VRPRDD.
The coordination of production sequence and vehicle routing (PS-VRPRDD) is the main subject to
our problem studied in which the best production sequence will leads to the least routing. Classical
decomposition approach, namely Alternateis used which decompose the problems into two sub-problems,
i.e. production sequence and vehicle routing. The results proved that eÆective coordination shows the
large potential savings that attract the interest of industrial distributors in optimizing their distribution
process in practice
Keywords: VRP with release and due dates, coordination of production scheduling and vehicle routing.
MGI 73 - A MODEL OF UNSTEADY BLOOD FLOW IN COMPLEX
MICROCIRCULATORY NETWORKS
W. R. W. ABDULLAHa , O. E. JENSENb & A. A. HILLc
a
[email protected]
School of Mathematics
University of Manchester
United Kingdom
[email protected]
b
c
Department of Health and Life Sciences
University of West of England
United Kingdom
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[email protected]
ABSTRACT
This project addresses blood flow in the systemic microcirculation, which is formed by networks of small
capillaries having diameters comparable in size to the blood cells passing through them. We solve sets of
coupled nonlinear partial diÆerential equations to describe unsteady blood flow in networks with multiple
nodes. The model incorporates empirical descriptions of blood rheology in capillaries, particularly the
Fahraeus eÆect, the Fahraeus-Lidqvist eÆect and the phase-separation eÆect. The coupled advectiondiÆusion equations are solved using finite-diÆerence-based numerical methods and demonstrate the longlived transient response of the flow through the network to inlet perturbations.
Keywords: Microcirculation; Hematocrite; Fahraeus-Lidqvist eÆect; Phase-separation eÆect.
MGI 74 - CONSIGNMENT INVENTORY MODEL WITH BUYER’S CAPACITY
CONSTRAINT
Siti Suzlin Supadia , Mohd Omarb & Nurul Fatehah Abdullahc
Universiti Malaya
a,b,c
ABSTRACT
In this research we will consider an integrated inventory problem in which vendor produces a single
product and periodically delivers it to the buyer on the basis of a consignment policy. It is assumed that
the demand rate vary with time. The objective of this research is to minimize the inventory holding
cost subject to buyer’s warehouse capacity constraint. We develop the mathematical formulation for
the problem and find the optimal solution for the proposed model numerically. The convexity will be
established to ensure the existence of the unique optimal solution. The sensitivity analysis will be carried
out to demonstrate the eÆects of changing parameter values on the optimal solution of the system.
Keywords: Consignment; capacity constraint; inventory; integrated.
MGI 75 - SIMPLER HYDROSTATICS COMPONENT OF UNBabc MAPPING
FUNCTION USING NONLINEAR CURVE FITTING METHOD
SITI RAHIMAH BATCHAa , HAMZAH SAKIDINb & ASMALA AHMADc
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Fundamental and Applied Sciences Department
Universiti Teknologi PETRONAS
Bandar Seri Iskandar, 32610, Perak, Malaysia
a,b
Information Technology and Communication Faculty
Universiti Teknikal Malaysia Melaka
Hang Tuah Jaya, 76100 Durian Tunggal, Melaka, Malaysia
[email protected]
c
ABSTRACT
Mapping function models should be simplified to improve the method of calculation of tropospheric delay.
For UNBabc mapping function, there are 11 mathematical operations to be carried out for getting the
mapping function value. To ensure faster calculation, there is a need to simplify the mapping function
models. The UNBabc mapping function models for hydrostatics component is given in a form of continued
fraction. This model has been selected to be simplified, due to its ability to achieve mapping function
value, down to 2 degree of elevation angle. The comparison between the original models with the simplified
models can be shown by using regression method and calculation of sum of error. The number of
mathematical operation can be reduced after the process of simplification of the model.
Keywords: mapping function; tropospheric delay; UNBabc
MGI 76 - SIMPLER MATHEMATICAL MODELFOR WET COMPONENT NEILL’S
MAPPING FUNCTION
HAMZAH SAKIDINa & SITI RAHIMAH BATCHAb
Department of Fundamental & Applied Sciences
32610 Bandar Seri Iskandar, Perak, Malaysia
a
ABSTRACT
The purpose of this study is to simplify mathematical models for Neill’s Mapping Function to reduce
the operation number of the model. Mapping function scale factor can be used to amplify the zenith
tropospheric delay to form total tropospheric delay. Mapping functions for the wet (non-hydrostatics)
part is in the form of continued fractions (with the elevation angle as the variable) which is quite tedious in
calculation. Mapping function values for original model can be obtained after 11 mathematical operations
for Neill Mapping Function (NMF) wet component. It is better to simplify the mapping function models
to allow faster calculation and also better understanding of the models. For this simpler model can give
only 4 operations which is 63.6% reduction in number of operations.
Keywords: Mapping function, wet, elevation angle.
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MGI 77 - A STUDY OF CIVIL ENGINEERING MAINTENANCE IN GOVERNMENT
HOSPITAL BUILDINGS
MOHD FAIZ MOHAMMAD ZAKIa , WAN ZUKI AZMAN WAN MUHAMADb , AFIZAH AYOBc ,
NUR FITRIAH ISAd & MUHAMMAD AMIR HAZIQ ABD RAHIMe
School of Environmental Engineering
Universiti Malaysia Perlis
[email protected], [email protected], are [email protected]
a,c,e
Institut Matematik Kejuruteraan
02600 Arau, Perlis , Malaysia
[email protected]
b
Faculty of Engineering Technology
02100 Padang Besar, Perlis, Malaysia
[email protected]
d
ABSTRACT
Technical maintenance management was established to monitor the serviceability of some assets or buildings in providing the conducive environment to end users. Hospital classified as the most complex and
heavily used buildings in government sectors and requires e±cient maintenance schedule due to its functions to occupied patient almost all the time. Therefore, the scope of a maintenance management system
in the government hospital is to ensure the preservation of its assets from defects and failures, thus optimize its function to serve the community accordingly. This research seeks to investigate the type of defects
that normally occurred at the selected government’s hospitals within Northern Peninsular Malaysia and
the process of daily maintenance activities is to assess the hospital building performance with respect
to their services and maintenances. In addition, this research also focuses the major problems that may
arise during maintenance activities, thus oÆers the eÆective strategies to overcome them. In order to
obtain the data, a set of questionnaire has been prepared and distributed to the selected hospitals. Data
obtained from the survey is analyzed using Statistical Package of Social Science (SPSS) software. The
result of the study presents the feedback and suggestion from the maintenance staÆ about the overall
defects that have been identified in the government hospital building. Most of the respondents agreed
that cracking is the major defect occurred in the selected hospital building. Improper installation during
construction recognized as the vital factor leads to cracking in building structure. Based on the analysis,
insu±cient cost tends to constrain the maintenance work activities.
Keywords: Building Maintenance, Defects, Statistic Analysis.
MGI 78 - THE EXTENDED RUNGE-KUTTA-LIKE FOURTH ORDER METHOD FOR
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SOLVING LOGISTIC EQUATION OF TUMOR GROWTH MODEL
NOR ATIRAH IZZAH ZULKEFLIa , NORMAH MAANb , YEAK SU HOEc & NOR AFIFAH HANIM
ZULKEFLId
a,b,c,d
ABSTRACT
This paper applies the Runge-Kutta-like fourth order method for solving logistic equation of tumor growth
model. This method using lower number of function evaluations. The properties of the method are given.
It is found that the method used will enhance the order of accuracy of the solutions compare with the
classical Runge-Kutta fourth order method. The numerical solution of the tumor growth model is also
discussed and analyzed.
Keywords: Extended Runge-Kutta-like; Tumor growth model; Logistic equation.
MGI 79 - EXTENDED BASIC INTEGER PROGRAMMING MODELS FOR
MULTIPLE SCHEDULINGPROBLEMS
NUR AIDYA HANUM AIZAMa & STEPHANIE LEONG PUI SIMb
a,b
[email protected]
ABSTRACT
Numerous approaches have been done to solve scheduling problems from various fields. Many researchers
tend to restrict their models to its own field. Thus, researchers have to repeat the whole procedure
to create a new model to solve another field or aspect of the situation. This whole repetition will be
costly and time consuming. The main objective of this study is to develop general basic models to
solve multiple scheduling problems. The extended general models formed were based on three types of
scheduling problems; nurse, university course and examination with the common requirements obtained
in the literature. Additional general constraints were also added to the model. All together there are 6
constraints employed in this research. A 0-1 integer programming is used to construct and solve these
models with the support of AIMMS mathematical software. The results obtained showed that the models
formed.
Keywords: scheduling; scheduling problems; integer programming; AIMMS mathematical software.
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MGI 80 - A STRUCTURALLY UNSTABLE BISTABLE SYSTEM WHEN SYNTHESIS
AND DEGRADATION OF PROTEIN ARE TAKEN INTO ACCOUNT
FUAADA MOHD SIAMa & MICHAEL GRINFELDb
a
[email protected]
Department of Mathematics and Statistics
University of Strathclyde
Livingstine Tower Level 9
26 Richmond Street, Glasgow, G1 1XH, United Kingdom
[email protected]
b
ABSTRACT
Bistability (or more generally multistability, the coexistence of two or more stable steady states in a
dynamical system) is an important property of many dynamical systems in biology. It furnishes an
explanation for the ability of isogenic cells to present diÆerent stable expression profiles. In this work, we
show analytically that the Cdc2-cyclin B/Wee1 system which exhibits bistability when all the proteins
species are conserved, is not structurally stable when synthesis and degradation of one of the components
are taken into account.
Keywords: bystander eÆect; low dose ionizing radiation; bistable behavior; bifurcation; protein kinases.
MGI 81 - NUMERICAL SIMULATION AND ANALYTICAL VALIDATION OF A GAS
FLOW THROUGH STORED GRAIN
ZAITON MAT ISAa & MOHAMAD DANIAL NAZRIb
Universiti Teknologi Malaysia, 81310 Johor Bahru, Malaysia
a,b
ABSTRACT
This study is concerned with an application in grain industry where insects in a stored grain are killed
using phosphine gas. During this process which is known as fumigation, the phosphine is injected at the
bottom of the silo and distributed into the stored grain. The present study is conducted to investigate
the flow distribution during the process for various type of storage configuration. Numerical simulation
using available Computational Fluid Dynamic (CFD) software, for example, FLUENT, is widely known
as cost and time eÆective. However, the numerical simulation needs to be validated before conducting
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such studies. For a simple case, the analytical solution exists. Therefore, the analytic solution for a
simple case, can be used for validation and serve as basis for adopting a CFD software, FLUENT for
an extended geometry and boundary conditions. The numerical results are found to agree well with the
analytical results.
Keywords: grain storage; porous medium; CFD.
MGI 82 - THE ADOMIAN DECOMPOSITION METHOD FOR MULTICELL
SPHEROID MODEL OF AVASCULAR TUMOR GROWTH
NORHASIMAH MAHIDDINa
a
1Centre of Foundation Studies for Agriculture Science, a Institute For Mathematical Research
43400 UPM Serdang,Selangor ,Malaysia
[email protected]
ABSTRACT
The Adomian decomposition method is applied to multicell spheroid model of avascular tumour growth.
In comparison with existing techniques, the decomposition method is highly eÆective in terms of accuracy
and rapid convergence. This paper presents a further insight into multicell spheroid model for avascular
tumour growth in the decomposition method approach and for steady-state condition.
Keywords: Adomian decomposition method; Avascular tumor growth; Multicell spheroid model; Mathemathical biology; Nonlinearity.
MGI 83 - A SIMULATED ANNEALING APPROACH FOR REDESIGNING A
WAREHOUSE NETWORK PROBLEM
ROZIEANA BINTI KHAIRUDDINa & ZAITUL MARLIZAWATI ZAINUDDINb
a
Faculty of Industrial Sciences & Technology
26300 UMP Gambang, Pahang, Malaysia
[email protected]
UTM Centre for Industrial and Applied Mathematics
& Department of Mathematical Sciences, Faculty of Science
b
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81310, UTM Johor Bahru, Johor DarulTa’azim, Malaysia
[email protected]
ABSTRACT
Faced with increasing competition, mounting cost pressure and to take advantage of the economies of
scale, many companies consider downsizing their distribution networks in ways that involve consolidation
or phase-out of some of their existing warehousing facilities. Therefore,if the economic situationchanges
afteracertainperiod of timethe existingnetworkmodel will need to be changedtogetthe optimalcostunderthe current economic conditions. This paper develops a mixed-integer linear programming model for
a one-echelon warehouse network redesign problem with warehouses and customers zones. The main contribution of this study is in considering delivery lead times and capacity constraint for existing warehouses.
A Simulated Annealing algorithm is proposed to tackle the problem. The corresponding numerical results
demonstrate the practicality of the proposed model and solution method.
Keywords: warehouse location; redesign; consolidation.
MGI 84 - HEAT TRANSFER ANALYSIS OF WATER BASED CARBON NANOTUBES
OVER A STRETCHING CYLINDER
RIZWAN UL HAQa & N.F.M. NOORb
a
b
Department of Mathematics, Faculty of Computing
Capital University of Science and Technology
Islamabad, 44000 Pakistan
Universiti Malaya
ABSTRACT
The present article is dedicated to examine the combined eÆects of single and multiple wall carbon nanotubes numerically within water that flows due to a stretching cylinder. The mathematical model based
on Navier-Stokes and energy equations is constructed.Magnetohydrodynamics and prescribed heat flux
areintroduced at the surface of the stretching cylinder. The viscosity and eÆective thermal conductivity
for carbon nanotubes are also considered. The carbon nanotubes and curvature parameters demonstrate
dominant eÆects in the profiles of velocity, temperature, skin friction and Nusselt number.
Keywords: MHD; CNT; nanofluid; stretching cylinder.
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MGI 85 - MATHEMATICAL MODELLING OF EXPRESSWAY TRAFFIC NOISE IN
PENANG
KOK LINGYAPa & HAJAR SULAIMANb
a
Pusat Pengajian Sains Matematik Universiti Sains Malaysia
[email protected] ,[email protected]
ABSTRACT
It is a renowned fact that tra±c noise has become the major contribution towards the overall noise
pollution scenario. Tra±c noise from an expressway creates problems for adjoining areas, especially in
high tra±c volumes and high speeds. The present work discusses the fundamentals of acoustics and
analysis of vehicular tra±c noise. Data was collected to carry out a comparative analysis with two
existing tra±c noise prediction models; namely, NAISS and Burgess. A suitable site along TunDr Lim
Chong Eu Expressway was chosen for data collection. Based on the readings and analysis of the data,
it was found that NAISS depicts a better predictive capability compared to Burgess. A further study
was done to develop a new model according to the features and characteristics of tra±c flows on the
expressway. This new tra±c noise prediction model is called Penang Noise Model (PNM). PNM was
shown to give an acceptable value of the coe±cient of determination and hence proves to be well reliable
in predicting the level of tra±c noise on the expressway (when the number of heavy vehicles is known).
A further two samples t-test done on PNM proves its capability in giving a good prediction of the level
of tra±c noise at TunDr Lim Chong Eu Expressway.
Keywords: Heavy vehicles; Tra±c Noise; Tra±c noise prediction model.
MGI 86 - COMPARATIVE STUDY OF FREE VIBRATION OF ANTI-SYMMETRIC
ANGLE-PLY LAMINATED PLATES
K.K.VISWANATHANa , K.KARTHIKb , Z. A. AZIZc & ANDY. V. S. S. SANYASIRAJUd
a,b,c
Ibnu Sina Institute for Scientific & Industrial Research
81310 Johor Bahru, Johor, Malaysia
a,b,c
Department of Mathematic
Indian Institute of Technology Madras
d
§ 55 §
SKSM23
UTM, Johor Bahru
Chennai 600036, India.
[email protected]
ABSTRACT
In this study free vibrations of anti-symmetry angle-ply composite plates including shear deformation
under clamped-clamped boundary conditions are presented. Two types of numerical methods are adopted
to analyze the problem. The spline of third order degree and radial basis functions are applied simultaneously to approximate the displacement function and rotational function. Comparative study have been
made for analyzing the frequency parameters with respect to the material properties, number of layer,
fiber orientations, side-to-thickness ratio and aspect ratio and the results are depicted in terms of tables
and graphs.
Keywords: Free vibration; anti-symmetric; angle-ply; splines; radial basis function.
MGI 87 - CONSTRAINED DATA VISUALIZATION USING RATIONAL CUBIC BALL
FUNCTION
WAN ZAFIRA EZZA WAN ZAKARIAa & JAMALUDIN MD ALIb
a
b
School of Industrial Technology
[email protected]
School of Mathematical Science
[email protected]
ABSTRACT
The main purpose of this paper is shape preserving interpolation for visualization of constrained data
that will be smooth and pleasant. A rational cubic Ball function with three shape parameters will be
introduced and used. A rational cubic Ball functionis constructed according to the shape of the data
that areconstraint between two lines using appropriate conditions on each of the shape parameters.
Keywords: shape preserving interpolation; constrained data; rational cubic Ball function; shape parameters.
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MGI 88 - HYDROMAGNETIC MIXED CONVECTION FLOW OVER AN
EXPONENTIALLY STRETCHING SHEET WITH FLUID-PARTICLE SUSPENSION
Siti Nur Haseela Izania & Anati Alib
a
snhaseela [email protected], [email protected]
ABSTRACT
The present paper deals with the study of a convective heat transfer characteristics of an incompressible
viscous dusty fluid over an exponentially stretching surface with an exponential temperature distribution.
The similarity transformation are used to reduce the system of governing partial diÆerential equations
into set of non-linear ordinary diÆerential equations which then solved numerically using Runge-KuttaFehlberg forth-fifth method (RKF45) with the help of Maple. The influence of physical parameters like
the Prandtl number, mixed convection parameter, the local fluid-particle interaction parameter, Eckert number and the magnetic parameter on the flow and heat transfer characteristics are analyzed and
discussed in details through tables and graph. The behavior of velocity and temperature profile of hydromagnetic mixed convection flow with fluid-particle suspension are assumed to have specific exponential
functions forms. The present numerical results are compared with the earlier published results.
Keywords: Dusty fluid; two phase flow; mixed convective parameter; heat transfer characteristics;
exponentially stretching surface.
MGI 90 - NUMERICAL MODELLING OF PARAMETRIC INSTABILITY PROBLEM
FOR COMPOSITE PLATE USING FINITE ELEMENT METHOD
Z. Yusofa & Z.A. Rasidb
Intelligent & Dynamic of Structures (IDS) iKohza,
Malaysia-Jalan International Institute of Technology
Jalan Sultan Yahya Petra 54100 Kuala Lumpur, Malaysia
[email protected]
a
Jabatan Kejuruteraan Mekanik Kejituan
Malaysia-Jalan International Institute of Technology
Jalan Sultan Yahya Petra 54100 Kuala Lumpur, Malaysia
[email protected]
b
§ 57 §
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UTM, Johor Bahru
ABSTRACT
Parametric instability as compared to force resonance may occur in a structure when the frequency of
loading is at a fraction of the natural frequency of the structure. As such the structure may experience
fatigue failure due to arametric instabilitymerely at loading less than critical load. In this paper, parametric instability analysis of composite plate subjected to periodic compressive loading has been conducted
using finite element method (FEM). The FEM formulation is based on thefirst order shear deformation
theory. The Mathieu-Hill type equation that described the parametric instability of the composite plate
was developed using the Hamilton’s principle. This equation was solved using the Bolotin’s method that
reduces the Mathies-Hill equation to a couple of eigen-value problems. Usingthe developed FEM source
codes, the instability chart or the Strut-Ince diagrams were drawn to show the instability regions for
several cases of composite types and parameters. The results of the dynamic instability region were validated with the results from past literatures. It was found that as the static load parameter is increased,
the center for dynamic instability region is shifted to the left and in the case of symmetric angle-ply
composite plate, the angle of µ = 45o gives the highest center of instability.
Keywords: Parametric instability; Mathieu-Hill equation; Laminated composites; Strut-Ince diagram.
MGI 92 - DIAGONAL QUASI-NEWTON UPDATING FORMULA USING THE
LOG-DETERMINANT NORM
HONG SENG SIMa , WAH JUNE LEONGb , CHUEI YEE CHENc & SITI NUR IQMAL IBRAHIMd
Institute for Mathematical Research
[email protected]
a,b,c,d
b,c,d
ABSTRACT
Quasi-Newton method has been widely used in solving unconstrained optimization problems. The popularity of this method is due to the fact that only the gradient of the objective function is required at
each iterate. Since second derivatives (Hessian) are not required, quasi-Newton method is sometimes
more e±cient than the Newton method, especially when the computation of Hessian is expensive. On
the other hand, standard quasi-Newton methods required full matrix storage that approximates the (inverse) Hessian. Hence, they may not be suitable to handle problems of large-scale. In this paper, we
develop quasi-Newton updating formula diagonally using log-determinant norm such that it satisfies the
weaker secant equation. The Lagrange multiplier is approximated using the Newton-Raphson method
that is associated with weaker secant relation. An executable code is developed to test the e±ciency of
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the proposed method with some standard conjugate-gradient methods. Numerical results show that the
proposed method performs better than the conjugate gradient method.
Keywords: quasi-Newton method; log-determinant norm; weak secant relation; diagonal.
MGI 93 - MODELLING AND OPTIMIZATION FOR PALM OIL PLANTATION
MANAGEMENT
AKBAR BANITALEBIa , MOHD ISMAIL ABD AZIZb , ZAINAL ABDUL AZIZc &
NORYANTI NASIRd
UTM Center for Industrial and Applied Mathematics, Ibnu Sina Institute for Scientific and
Industrial Research
UTM 81310, Skudai, Johor, Malaysia
a,b,c,d
ABSTRACT
In this paper, the problem of palm oil plantation management is considered. A non-linear mathematical
model is proposed considering two state variables as the density of the young palm oil trees and the
part of biomass that can produce oil. In the modelling process, it is assumed that the rate of planting
new young trees and the rate of felling ine±cient trees can be controlled. It is further assumed that
the oil production rate is directly proportional to the biomass of palm oil plantation. A system of delay
diÆerential equations is developed to study the behaviour of palm oil plantation. The resulting optimal
control problem is also solved to estimate the control variables while the objective is to maintain the
biomass at a certain level and maximize the oil palm production in a long period. Numerical simulations
are given to illustrate the results.
Keywords: Palm Oil Plantation Management; Optimal Control; Mathematical Modeling.
MGI 94 - SOLUTION OF FUZZY FRACTIONAL DIFFERENTIAL EQUATIONS
USING HOMOTOPY ANALYSIS METHOD
LEE M Oa , N. KUMARESANb & KURU RATNAVELUc
a
Universiti Malaya
§ 59 §
SKSM23
UTM, Johor Bahru
[email protected]
ABSTRACT
In this paper, solution of fuzzy fractional diÆerential equations are obtained using Homotopy Analysis
Method (HAM). HAM is the generalization of various methods like Homotopy Perturbation method,
Adomin Decomposition Method. HAM solution is more accurate when it is compared with the solution
computed by existing method. Illustrative numerical examples are presented for the proposed method.
Keywords: Fractional DiÆerential Equations; Fuzzy Systems; Homotopy Analysis Method.
MGI 95 - BEZIER CURVE MODELING FOR INTUITIONISTIC FUZZY DATA
PROBLEM
ABD FATAH WAHABa , MOHAMMAD IZAT EMIRb & MOHD SALLEHUDDINc
Pusat Pengajian Informatik dan Matematik Gunaan
21030 Kuala Nerus, Terengganu, Malaysia
[email protected], emir [email protected], salleh [email protected]
a,b,c
ABSTRACT
The solution of a problem that involves uncertainty data that is characterized by complex process in which
the phenomenon of incomplete information obtained is di±cult to handle. Various mathematical models
have been developed to handle problems involving uncertainty data. This paper introduced new concept
of geometric modeling with intuitionistic fuzzy called Intuitionistic Fuzzy Bezier. A new intuitionistic
control point is defined and developed. Next, the control point is blended with the spline basis function
to generate Intuitionistic Fuzzy Bezier Model and the Intuitionistic Fuzzy Bezier Curve is shaped.
Keywords: Intuitionistic fuzzy; Bezier; Intuitionistic fuzzy Bezier; Control Point; Intuitionistic fuzzy
Bezier curve.
MGI 97 - ANALYSIS OF BLOOD FLOW THROUGH A CATHETERIZED STENOSED
ARTERY USING MATHEMATICA
TAY CHAI JIANa & NORSARAHAIDA AMINb
a,b
§ 60 §
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UTM, Johor Bahru
[email protected] , [email protected]
ABSTRACT
A mathematical analysis on blood flowing through a catheterized stenosed artery is carried out using
Mathematica , where a package has been developed to solve a Newtonian model of blood flow that can
be extended to solve and simulate other fluid models and boundary conditions. Investigation centres on
the eÆect of inserting a catheter, which is a tube, used amongst others in patients who are bedridden
and whose blood pressure needs to be measured and monitored continuously. Inserting a catheter in an
artery is expected to alter some characteristics of blood flow such as velocity, the wall shear stressand
the streamlines. The present model considers the catheter and the artery to be in an eccentric position
which is more realistic as opposed to the usual concentric position The governing equations are solved
analytically by a perturbation method. Results show that the eccentricity causes the axial velocity and
wall shear stress to increase. There is also a trapping bolus which occurs in the region between the wall
of stenosis and the wall of catheter for small values of eccentricity parameter.
Keywords: perturbation; Mathematica; analytical solution; blood flow; catheter.
MGI 98 - MODIFED AND HYBRID CONJUGATE GRADIENT METHODS WITH
THEIR CONVERGENCE ANALYSIS: A REVIEW
IBRAHIM ABDULLAHIa & ROHANIN AHMADb
[email protected]
a
Federal University Dutse (FUD
P.M.B 7156, Dutse, Jigawa State, Nigeria
[email protected]
a,b
ABSTRACT
Conjugate Gradient (CG) methods are widely used for solving unconstrained optimization problems. The
paper reviews the development of CG methods in recent times and their convergence properties.
Keywords: Unconstrained optimization; Conjugate gradient; Convergence; Descent algorithm..
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MGI 101 - CHALLENGE IN APPLYING QUANTITATIVE ANALYSIS ON BULL
SEMEN QUALITY IN MALAYSIA
ZAINAL ABDUL AZIZa , ARIFAH BAHARb , MOHD SHAHIR SHAMSIR OMARc , zaitul marlizawati
zainuddind & NORHAIZA AHMADe
1UTM Centre for Industrial and Applied Mathematics
Ibnu Sina Institute for Industrial and Scientific Research
81310, Universiti Teknologi Malaysia
Johor Bahru, Johor.
a,b,d
c
e
Department of Biosciences and Health Sciences
Faculty of Biosciences & Medical Engineering
Johor Bahru, Johor.
Johor Bahru, Johor.
ABSTRACT
There is a huge challenge in managing quality control (QC) for Malaysian semen production centres
(MSPCs) supplying bull semen to breeders and State Department of Veterinary (SDV). MSPCs are moving away from subjective semen assessment that is largely uncorrelated to field fertility, to objective semen
analyses that incorporate computer assisted sperm analysis (CASA) and flow cytometry. A quantitative
analysis (QA) approach to semen analysis using a combination of CASA and flow cytometry can provide
MSPCs with the highest QC for bull semen production. This paper will describe how this QA approach
could be applied in MSPCs to establish QC procedures of bull semen production before the release of the
product in the field.
Keywords:: Quality control; quantitative analysis; CASA; flow cytometry; bull semen.
MGI 102 - EARLY DETECTION OF GANODERMA BONINENSE IN OIL PALM
ARIFAH BAHARa , NORHAIZA AHMADb , ZAINAL ABDUL AZIZc , shajarahtunnur jamild ,
ZAHARAH IBRAHIMe , ZAITUL MARLIZAWATI ZAINUDDINf
1UTM Centre for Industrial and Applied Mathematics
Ibnu Sina Institute for Industrial and Scientific Research
81310 Johor Bahru, Johor
a,c
a,b,c,f
§ 62 §
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UTM, Johor Bahru
d
e
Department of Chemistry, Faculty of Science
Department of Biosciences and Health Sciences, Faculty of Biosciences & Medical Engineering,
ABSTRACT
A new technology device studied by our industry partner has a capability to detect specific VOCs (volatile
organic compounds). The device is a very high speed, highly sensitive electronic sensor. The industry
partner is in the process of confirming which volatile organic compounds that could strongly indicate
the presence of the Ganoderma fungi. This study is conducted on 47 trees which consist 188 points of
inspection and 18 VOCs are analysed. It reveals that up to 5 components based on PCA with about
75% proportion of variance explained from the data could be selected. Biplots of the components show
that Status 3 (severely infected) could be separated easily from Status 1 (healthy) and Status 2 (infected
without fruiting body). PLS-DA (partial least squares - discriminant analysis) is also carried out to
determine the percentage of detection accuracy. It is chosen because the response variable (Status 1-3) is
categorical. Based on PLS-DA plot, it seems that most of the VOCs that contribute to Status 1 including
Thiopene and Pyran. While other VOCs contribute to Status 3. It does not seem any of the VOCs have
any influence on Status 2. The accuracy is 61.2%.
Keywords: Principal Component Analysis (PCA); partial least squares discriminant analysis (PLS-DA);
Ganoderma boninense (G.b); volatile organic compounds, electronic sensor.
MGI 103 - INTEGRATED MODEL OF CONTINUOUS BERTH ALLOCATION
PROBLEM AND QUAY CRANE SCHEDULING WITH NON-CROSSING
CONSTRAINT
ZAITUL MARLIZAWATI ZAINUDDINa , AZYANZUHAILA HASAN BASRIb & NURHIDAYU
IDRISc
b,c
a
81310, Johor Bahru, Johor, Malaysia
azyan [email protected], [email protected]
UTM Centre for Industrial and Applied Mathematics and Department of Mathematical Sciences,
Faculty of Science
81310, Johor Bahru, Johor, Malaysia
§ 63 §
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UTM, Johor Bahru
[email protected]
ABSTRACT
EÆective berth and quay crane scheduling improves service levels of container terminal. This study
integrates Continuous Berth Allocation Problem and Quay Crane scheduling and focuses on non-crossing
constraint. Quay crane (QC) interference is an important feature of QC operations. Practically, QCs
along the same berth are mounted on the same tracks, which forbid them from crossing each other at any
instant. To better model the situation, non-crossing constraint is added to the integrated mathematical
model of continuous berth allocation problem and quay crane scheduling. The results obtained emphasize
the eÆect of non-crossing constraint to quay crane scheduling.
Keywords: integrated; continuous; berth; quay crane; non-crossing.
> > > > > > >>
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APPLIED MATHEMATICS &
COMPUTING
MPSK 01 - FORECASTING CRUDE OIL PRODUCTION USING QUADRATIC
REGRESSION AND LAYER RECURRENT NEURAL NETWORK MODELS
AUGUSTINE PWASONGa & SARATHA SATHASIVAMb
a,b
ABSTRACT
In this study, a quadratic regression model and a two layered layer recurrent neural network (TLLRNN)
method were used to model forecasting performance of the daily crude oil production data of the Nigerian
National Petroleum Corporation (NNPC). The two methods were applied on the diÆerence series and
log diÆerence series of the NNPC series. The results indicate that the two layered layer recurrent neural
network model have better forecasting performance greater than the quadratic regression method based
on the mean error square sense. The root mean square error (RMSE) and the mean absolute error (MAE)
were applied to ascertain the assertion that the two layered layer recurrent neural network method have
better forecasting performance greater than the quadratic regression method. The outcome of the analysis
also indicates that modeling forecasting performance of the NNPC data with the log diÆerenceseries of
the data gives greater forecasting performances than modeling with the diÆerence series of the NNPC
data irrespective of the method used in modeling with the series. These results were achieved from
1 day ahead predictions, 3 days ahead predictions and 5 days ahead predictions for 50 days sample
length, 100 days sample length, 200 days sample length, 400 days sample length and 800 days sample
length. Autocorrelation functions emerging from the increment series, that is, diÆerence series and log
diÆerence series of the daily crude oil production data of the NNPC indicates significant autocorrelations
and significant partial autocorrelations. The data used in this study is a time series data obtained from
the daily crude oil production of the Nigerian National Petroleum Corporation (NNPC) for a period of
six years (1st January, 2008 - 31st December, 2013). The analysis for this study was simulated using
MATLAB software, version 8.03.
Keywords: Regression, neural network, root mean square error, mean absolute error, forecasting.
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MPSK 02 - ON THE FUSION OF REGRESSION AND NEURAL NETWORK
MODELS
AUGUSTINE PWASONGa & SARATHA SATHASIVAMb
a,b
ABSTRACT
In this paper, a feed forward neural network model and a quadratic regression model are fused together
to form a hybrid model that was applied on the daily crude oil production data of the Nigerian National
Petroleum Corporation (NNPC) to forecast the daily crude oil production of the NNPC. The fusion was
made possible by the Bayesian model averaging technique, which was used to obtain a combined forecast from the two separate methods, that is, the feed forward neural network method and the quadratic
regression method. The model resulting from the fusion was applied on the diÆerence series and log difference series of the NNPC series. The results indicate that the combined forecast have better forecasting
performance greater than the stand alone methods based on the mean error square sense. The root mean
square error (RMSE) and the mean absolute error (MAE) were applied to ascertain the assertion that
the combined forecast has better forecasting performance greater than the stand alone forecast. The
outcome of the analysis also indicates that modeling forecasting performance of the NNPC data with the
log diÆerence series of the data gives greater forecasting performances than modeling with the diÆerence
series of the NNPC data irrespective of modeling with hybrid or stand alone methods. The data used
in this study is a time series data obtained from the daily crude oil production of the Nigerian National
Petroleum Corporation (NNPC) for a period of six years (1st January, 2008 - 31st December, 2013). The
analysis for this study was simulated using MATLAB software, version 8.03
Keywords: Bayesian model averaging, regression, neural network, root mean square error, mean absolute
error, forecasting.
MPSK 03 - KULLBACK LIEBER DIVERGENCE FOR IMAGE EVALUATION
Hang See Phenga , Siti Mariyam Shamsuddinb & Razana Alweec
a,b
UTM Big Data Centre, Ibnu Sina Institute for Scientific and Industrial Research
81310 Skudai Johor
[email protected]; [email protected]
c
Soft Computing Research Group, Faculty of Computing
§ 66 §
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81310 Skudai Johor
ABSTRACT
Medical imaging has been expanding ever since to give diagnostic information through diÆerent types of
modalities. Currently, there are many types of modalities such as Computed Tomography (CT) scans,
Magnetic Resonance Imaging (MRI), X-rays (plain radiography), Positron Emission Tomography (PET)
scan and Ultrasonographic diagnostics (USG), available in the field of medical and surgical. These
modalities are widely used in clinical diagnosis and development of research in education. In terms of
image quality, the qualitative analysis was always used to evaluate the quality of output image from
classification results. By qualitative analysis, the researchers were able to judge the precision of detected
lesion and hence calculated the accuracy of detection through the testing cases. However, the qualitative
analysis was sometimes subjective and the verification from more than one radiologist was needed to
confirm the results of classification. Therefore, the quantitative analysis was also needed to ensure the
results from the classification algorithm can be assessed objectively. In this study, we propose pixelbased approach of Kullback Lieber (KL) divergence in assessing the medical images. Unlike the standard
statistical analysis, the evaluation using KL divergence does not require testing of hypothesis or confidence
interval construction based on the mean and standard deviation. The proposed framework of KL is useful
to provide a descriptive measure for the purpose of summarizing data.Firstly, both of the original and
computed images are normalized where the sum of all intensities is equal to one. Then, the probability
distribution is calculated by column using function of hist(HO) and hist(HA) and each of the column
are expressed as data vector hOi = (hO1 , hO2 , hO3 , hOi ) and hAi = (hA1 , hA2 , hA3 , hAi ) respectively.
In the computation of probability distribution, the function of hist bins the elements in each data vector
of HO and HA into 10 equally spaced containers and return the amount of elements in each container
as row vector. The results have shown that the proposed framework of Kullback Lieber divergence is
promising in presenting better final images quantitatively.
Keywords: Quantitative analysis, Kullback Leibler (KL) divergence, Medical imaging.
MPSK 04 - CHOLESKY FACTOR UPDATING IN RECURSIVE LEAST-SQUARES
BASED SYSTEM IDENTIFICATION
KAH WAI CHEAHa & NOOR ATINAH AHMADb
a,b
ABSTRACT
In this paper, we describe the Cholesky factor updating for the recursive least-squares (RLS) algorithm.
This factorization technique is based on orthogonal transforms and involves only rank-one updating or
a rank-one downdating of a matrix. The updating and downdating procedures are stabilized in which
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the singular values of the correlation matrix are shifted by utilizing an initialized Cholesky factor. Our
theoretical analysis demonstrates the shifted singular values improve the positive definiteness and the
conditioning of the correlation matrix which in turn results in a more stable algorithm. The round oÆ
errors of Cholesky factor are also nicely bounded due the orthogonalization. Stability of the RLS algorithm
with Cholesky factor rank-one updating is demonstrated via adaptive identification of a nonlinear Volterra
system. In quantized form, while the conventional RLS algorithm is only stable for a short duration, the
RLS algorithm with Cholesky factor rank-one updating is shown to be stable for much longer duration.
Keywords: System identification; Cholesky rank-one update and downdate factorization; RLS.
MPSK 05 - A 3(2) PAIR PSEUDO RUNGE-KUTTA METHOD FOR DELAY
DEFFERENTIAL EQUATION
LIM TIAN HWEEa
Foundation Programme
University of Reading Malaysia
[email protected]
a
ABSTRACT
Although explicit pseudo Runge-Kutta methods are less popular than explicit Runge-Kutta methods
(because they need two initial values), they are less expensive in terms of functional evaluation. In the
past, research has been done in constructing high order pseudo Runge-Kutta methods. In this paper, a
low order embedded pair of pseudo Runge-Kutta method will be presented. First, a third order method
is constructed by minimizing the error bound follow by a second order method. The stability of the new
method is studied. A number of test problems are solved by the new method. The numerical results are
shown and compared with the existing method.
Keywords: Explicit Pseudo Runge-Kutta Method; Delay DiÆerential Equation; Low Order; Error
Bound.
MPSK 06 - ASSORTED MATRIX DECOMPOSITION METHOD IN SOLVING FULLY
FUZZY LINEAR SYSTEM FOR TRIANGULAR FUZZY MATRICES
WAN SUHANA WAN DAUDa , NAZIHAH AHMADb & KHAIRU AZLAN ABD AZIZc
a
Institute of Mathematics Engineering,
§ 68 §
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UTM, Johor Bahru
02600, Arau, Perlis
[email protected]
b
School of Quantitative Sciences, College of Arts & Sciences
Universiti Utara Malaysia
06010, Sintok, Kedah
[email protected]
c
Department of Sciences Mathematics and Statistics
Universiti Teknologi MARA Perlis
[email protected]
ABSTRACT
Fully Fuzzy Linear System (FFLS) happens when there is a fuzzy value on both sides of the linear
systems. This system is quite significant now since most of the linear systems play with uncertainties
of parameters especially in engineering, financial, and so on. Many researchers become attracted with
FFLS and they also introduced various methods to solve the FFLS. In this paper, we intend to discuss
on the matrix decomposition methods in solving fully fuzzy linear system for triangular fuzzy matrices.
Ultimately, we will analyze the most e±cient method by look into the complexity level and computation
time. Our hope is this study will encourage researchers to appreciate the use of matrix decomposition
methods for understanding linear equations and with that it will be easier for them to choose the right
method in order to solve the FFLS.
keywords: Fully Fuzzy Linear System (FFLS); Matrix decomposition; Triangular fuzzy matrices.
MPSK 07 - NEAR-ZERO SOLUTION OF FULLY FUZZY LINEAR SYSTEM WITH
ARBITRARY TRAPEZOIDAL FUZZY NUMBERS
WAN SUHANA WAN DAUDa & NAZIHAH AHMADb
Institute of Mathematics Engineering
Pauh Putra Campus 02600, Arau, Perlis
[email protected]
a
b
School of Quantitative Sciences, College of Arts & Sciences
06010, Sintok, Kedah
[email protected]
§ 69 §
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ABSTRACT
Previously, many authors have proposed a various techniques using direct and indirect methods for
finding positive solutions of the positive Fully Fuzzy Linear Systems (FFLS). However, there are only
a few authors have studies on solving FFLS which didn’t put any restriction on the fuzzy parameters.
Thus, it will give some limitation to the users in solving any real linear system of equations. In this study,
we are interested to solve the FFLS which the fuzzy numbers are neither positive nor negative or known
as Near-zero (N -zero). We will employ some arithmetic properties of trapezoidal fuzzy numbers inspired
by Abhinav Bansal (2011). Additionally, some numerical examples will be illustrated.
Keywords: Fuzzy Linear System (FFLS); Near-zero; Trapezoidal fuzzy numbers.
MPSK 08 - MAGNETOHYDRODYNAMIC FLOW OF DUSTY FLUID OVER
STRETCHING SHEET WITH HALL EFFECT
SHARENA MOHAMAD ISAa , ANATI ALIb & SHARIDAN SHAFIEc
sharena [email protected], [email protected], [email protected]
a,b,c
ABSTRACT
The eÆect of hall current on dusty fluid, viscous, incompressible and electrically conducting fluid over vertical surface of stretching sheet is studied.A convective boundary condition is applied and compared with
usual boundary conditions of constant surface temperature. The governing partial diÆerential equations
are transformed into ordinary diÆerential equations by using similarity transformation. The resulting
diÆerential equations are solved numerically by using Runge Kutta Fehlberg forth-fifth method (RKF45
Method) with help of Maple Software. The eÆect of magnetic parameter, fluid-particle interaction parameter, Hall parameter and Biot number are presented graphically.
Keywords: dusty fluid; magnetohydrodynamic; Hall eÆect; convective boundary condition.
MPSK 09 - CONFORMAL MAPPING OF MULTIPLY CONNECTED REGIONS
ONTO LOGARITHMIC SPIRAL SLIT WITH FINITE STRAIGHT SLIT
Arif A.M. Yunusa , Mohamed M. S. Nasserb & Ali H.M. Muridc
a
§ 70 §
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UTM, Johor Bahru
71800 Bandar Baru Nilai, Nilai,Negeri Sembilan, Malaysia
[email protected]
King Khalid University, P.O. Box 9004, Abha, Saudi Arabia
mms [email protected]
b
c
UTM Centre for Industrial and Applied Mathematics, Ibnu Sina Institute for Scientific and Industrial
Research
81310 UTM Johor Bahru,Johor, Malaysia
[email protected]
ABSTRACT
This paper presents a boundary integral equation method with the adjoint generalized Neumann kernel
for conformal mapping of multiply connected regions. The canonical region is the entire complex plane
bounded by a finite straight slit on the line Im w = 0 and finite logarithmic spiral slits. Some linear
boundary integral equations are constructed from a boundary relationship satisfied by an analytic function
on a multiply connected region. These integral equations are uniquely solvable. The kernels involved
in these integral equations are the generalized Neumann kernel and the adjoint generalized Neumann
kernels.
Keywords: Conformal mapping; Boundary integral equations; Multiply connected region; Generalized
Neumann kernel.
MPSK 10 - REINITIATED LAPLACE HOMOTOPY ANANLYSIS METHOD FOR
SOLVING INTEGRAL EQUATIONS
LEM KONG HOONGa
a
Department of Physical and Mathematical Science, Faculty of Science
Universiti Tunku Abdul Rahman, Jalan University, Bandar Barat
31900 Kampar, Perak, Malaysia
[email protected]
ABSTRACT
The complexity of the deformation equation increases exponentially with the order of approximation.
Consequently, implementing the Laplace homotopy analysis method (LHAM) under high deformation
order can be very computationally costly and lengthy and even cause computational paralysis in cases.
Here, the LHAM is modified in a reinitiated manner wherethe low order results are initiated for further approximation using truncated Maclaurin expansions. This modified approach manages to avoid
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high order approximation butstill promises accurate approximate series solution. This approach greatly
improves the e±ciency of LHAM in solving integral equations.
Keywords: Laplace transform; homotopy analysis method (HAM); integral equations.
MPSK 11 - GC2 RATIONAL BALL CURVES WITH AN APPLICATION TO
CRANIO-FACIAL IMAGE RECONSTRUCTION
ABDUL MAJEEDa & ABD RAHNI MT PIAHb
11800 USM Pulau Pinang, Malaysia
a,b
ABSTRACT
The aim of cranio-facial re-construction is to re-construct a fractured bone contour of an anatomical
region. In this manuscript, we re-construct fractured cranio-facial images using GC2 rational Ball curves.
The proposed interpolant have four free parameters and a genetic algorithm is used to optimize these
parameters. The emphasis is laid on the accuracy and smoothness of re-constructed images. This
manuscript also includes a clinical case of a fractured skull vault to show diverse application of the
proposed algorithm.
Keywords: CT scan data; Boundary extraction; Corner detection; Genetic algorithm; cranio-facial
reconstruction.
MPSK 12 - THE COMPUTATION OF ZEROS OF AHLFORS MAP FOR DOUBLY
CONNECTED REGIONS
KASHIF NAZARa , ALI W.K. SANGAWIb & ALI H.M. MURIDc
COMSATS Institute of Information Technology
P.O.Box 54000 Defence Road OÆ Raiwind Road Lahore Pakistan
[email protected]
a
b
Department of Mathematics, School of Science, Faculty of Science and Science Education
University of Sulaimani
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46001 Sulaimani, Kurdistan, Iraq
[email protected]
c
UTM Centre for Industrial and Applied Mathematics (UTM-CIAM), Ibnu Sina Institute, of Science
and Industrial Research
81310 UTM Johor Bahru, Johor, Malaysia
[email protected]
ABSTRACT
The relation between the Ahlfors map and the Szegö kernel S(z, a) is classical. The Szegö kernel for
a multiply connected region is a solution of a Fredholm integral equation of the second kind with the
Kerzman-Stein kernel. The exact zeros of the Ahlfors map are unknown except for the annulus region.
This paper presents a numerical method for computing the zeros of the Ahlfors map for any bounded
0
0
doubly connected region. The method depends on the values of S(z(t), a), S (z(t), a) and µ (t) where µ(t)
is the boundary correspondence function of Ahlfors map. A formula is derived for computing S 0 (z(t), a).
0
An integral equation is constructed for solving µ (t). The numerical examples presented here prove the
eÆectiveness of the proposed method.
Keywords: Ahlfors map; Szegö kernel; Adjoint Neumann kernel; Generalized Neumann kernel.
MPSK 13 - BOND STRETCHING MODEL FOR THE DIATOMIC MOLECULES
TAN AI-PINGa , YEAK SU-HOEb & RIADH SAHNOUNc
a,b
c
Department of Chemistry, Faculty of Science
[email protected]
ABSTRACT
The previous studies had shown that general piecewise polynomial was used as bond stretching functional in order to represent the chemical reaction for diÆerent combination of two atoms hydrocarbon
compounds. In this paper, Bond stretching model is further investigated by applied to seven homonuclear
diatomic molecules, which are Br2 , Cl2 , F2 , H2 , I2 , N2 , and O2 compounds. Data were computed from
Gaussian 09 software. Density functional theory method with hybrid functional of Beck 3-term correlation functional and Lee, Yang, and Parr exchange functional were chosen in the calculation. Parameter
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sets were obtained via curve fitting with data collected for each compound in a range of distances. Bond
stretching model with corresponding parameter set were calculated and presented in graphic form. The
results are not exactly fitted but it is considered achieve in good agreement with the each set of data
collected.
Keywords: Bond Stretching Polynomial; Force Field; Diatomic Molecules.
MPSK 15 - CONSTRAINED ARTIFICIAL BEE COLONY ALGORITHM FOR
OPTIMIZATION PROBLEMS
SOUDEH BABAEIZADEHa & ROHANIN AHMADb
a,b
ABSTRACT
Artificial Bee Colony (ABC) algorithm is a well known swarm intelligence algorithms which have shown a
competitive performance with respect to other population-based algorithms. However, this algorithm has
poor exploitation ability. To address this issue, an Improved Constrained Artificial Bee Colony (icABC)
algorithm is proposed where three new solution search equations are introduced respectively to employed
bee, onlooker bee and scout bee phases. This algorithm is tested on several constrained benchmark
Problems. The numerical results demonstrate that the icABC is competitive with other state-of-the-art
constrained ABC algorithm under consideration.
Keywords: Artificial Bee Colony, Swarm intelligence, Constrained optimization.
MPSK 16 - FORECASTING THE MORTALITY RATES OF MALAYSIAN
POPULATION USING LEE-CARTER METHOD
NURAINI NGATAMANa , ROSE IRNAWATY IBRAHIMb & MAZLYNDA MD YUSUFc
71800 Nilai, Negeri Sembilan, Malaysia
a,b
ABSTRACT
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The population of many countries might undergo dramatic changes in the coming decades due to continuous increases in life expectancy. The sustained reduction in mortality rates and its systematic underestimation has been attracting the significant interest of researchers in recent years because of its potential
impact on population size and structure, social security systems, and (from an actuarial perspective) the
life insurance and pensions industry worldwide. Among all projection methods, the Lee-Carter method
has been widely accepted by the actuarial community. This paper explores the use of the Lee-Carter
method to forecast the mortality rates for Malaysian population. The index of the level of mortality for
each gender, and the shape and sensitivity coe±cients for 18 age groups were obtained through the LeeCarter method. The Singular Values Decomposition (SVD) is used to forecast the general index for the
time period that goes from 2011 to 2030. Since the model involves nonlinear equations that are explicitly
di±cult to solve, the Matrix Laboratory Version 7.0 (MATLAB 7.0) software will be used in the study.
The empirical data sets of Malaysia population for the period of 1981-2010 and for both genders will be
considered.
Keywords: Forecasting; Mortality rates; Lee-Carter method; Singular Values Decomposition.
MPSK 18 - SOME RESULTS ON THE STABILITY OF THE ODE MODEL FOR
TUMOR CELLS POPULATION DYNAMICS
AMIN OROJIa & MOHD OMARb
Universiti Malaya
a,b
ABSTRACT
In this paper we considered a mathematical model for the population dynamics of a heterogeneous
tumor treated by external beam radiotherapy. We developed this model by using a system of ordinary
diÆerential equations to represent tumor cell’s population dynamics after the application of dose fractions.
The model is based on four main parameters, the probability that a target of a cell becomes deactivate
after a dose fraction (q) the probability that a target becomes active again after body immune system’s
repair mechanism (r), the probability that a cell gives birth after the application of a dose fraction (µ)
and the number of the targets in each cell (m). We examine the stability of the system by applying
Routh-Hurwitz theorem where each cell contains two or three targets (m = 2/3). We show that the ODE
system is stable for any 0 < r < 1 where the treatment parameter (q) exceeds 1.0. Furthermore, q = 1.0
is the minimum value such that the ODE system becomes stable corresponding to any value of repair
parameter (r) where m equal two or three. Finally, the system stability region corresponding to diÆerent
values of birth parameter (µ) and the number of targets in each cell (m) are studied numerically.
Keywords: Tumor Cell; Population Dynamics; Stability Analysis; Routh-Hurwitz Theorem; Mathematical Modeling.
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MPSK 19 - DATA ANALYTIC PLATFORM FOR PROCESSING BIG SCALED
SATELLITE IMAGES
SITI SOPHIAYATI YUHANIZa , SITI MARIYAM SHAMSUDDINb & KAMILIA KAMARDINc
Advanced Informatics School
a,c
Big Data Centre
81310, Johor Bahru, Johor
[email protected]
b
ABSTRACT
In the application of monitoring natural disasters, data scientists may use satellite images and any other
related data to make decisions. The current satellites data are growing fast, that can reach terabytes per
day that are downloaded from many diÆerent sources. These data are important that contain patterns
and hidden knowledge that can be extracted from machine learning methods. This knowledge facilitates
people in making critical decisions in various domains, such as monitoring disasters or as a simple case
of monitoring tra±c. For the data to be meaningful, a platform that can handle large volume of data
in high speed is needed to process these data. The platform should allow parallel mechanism to cope
with high volume of data and allow for collaborative work. A Hadoop-based data analytic platform is
proposed to provide the framework for integration of various format of data, unstructured data and high
volume of data.
Keywords: satellite images, data analytic platform, data science.
MPSK 20 - A NEW PRP-BASED HYBRID CONJUGATE GRADIENT METHOD FOR
UNCONSTRAINED OPTIMIZATION
MUHAMMAD FAUZI BIN EMBONGa , MUSTAFA MAMATb & MOHD RIVAIEc
Department of Computer Science and Mathematics
Universiti Teknologi MARA(UiTM) Terengganu
Kampus Kuala Terengganu, 21080 Kuala Terengganu, Malaysia
a,c
Faculty of Informatics and Computing
Universiti Sultan Zainal Abidin(UniSZA)
Kampus Tembila, 22200,Besut, Terengganu, Malaysia
[email protected]
b
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ABSTRACT
A new hybrid conjugate gradient method parameter is computed based on PRP method . It is shown
that both for uniformly convex functions and for general nonlinear functions the new proposed algorithm
with exact line search is globally convergent. Numerical comparisons with some similar CG algorithms
show that the new proposed hybrid computational scheme outperforms the PRP method and some other
hybrid methods.
keywords: Conjugate gradient; unconstrained optimization; global convergence; hybrid method.
MPSK 21 - TASK SCHEDULING FOR DIRECTED CYCLIC GRAPH USING
PARTITIONING TECHNIQUE
WAN NOR MUNIRAH ARIFFINa & SHAHARUDDIN SALLEHb
Institut Matematik Kejuruteraan
02600 Arau, Perlis
[email protected]
a
b
Matematical Sciences Department, Faculty of Science
[email protected]
ABSTRACT
The problem of scheduling a task graph of parallel program onto a parallel and distributed computing
system is a well-defined NP-complete problem that has received a large amount of attention. In this paper,
the theoretical graph application using partitioning technique is presented to assign a number of tasks
onto processors. This paper focus on a problem of reducing directed-weighted cyclic graph into directed
acyclic graph. A combination of ant colony algorithm and auction algorithm is tested to the problem.
Our simulation model found that the proposed techniques and algorithms are easy to be implemented.
Keywords: Graph partitioning; task scheduling; ant colony algorithm; auction algorithm.
MPSK 22 - EXACT SOLUTION FOR A ISING MODEL ON CAYLEY TREE OF
ORDER 5
MOHD HAKIM BIN JAMILa & PAH CHIN HEEb
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a,b
Department of Computational and Theoretical Sciences, Kulliyyah of Science
International Islamic University Malaysia
25200 Kuantan, Pahang, Malaysia
ABSTRACT
We investigate an Ising model with two restricted competing interactions (nearest neighbors, and onelevel neighbors) on the Cayley tree of order 5. We found an exact solution for the Ising model. Our
result of the critical curve shows the existence of the phase transition, also confirming a conjecture of the
critical curve.
Keywords: recurrent equation; critical curve; phase transition.
MPSK 23 - THE PERFORMANCE OF PDE-BASED IMAGE DENOSING ON
RADIOGRAPHIC IMAGES
SUHAILA ABD HALIMa , ARSMAH IBRAHIMb & YUPITER HP MANURUNGc
a,b
c
Center of Mathematics Studies, Faculty of Computer and Mathematical Sciences
Universiti Teknologi MARA
40450 Shah Alam, Selangor, Malaysia
Advanced Manufacturing Technology Center, Faculty of Mechanical Engineering
Universiti Teknologi MARA
[email protected]
ABSTRACT
Image is normally contaminated by noise during its acquisition process. To deal with this problem, image
denoising is introduced as the preliminary process in image processing. The approach of performing image
denoising is currently an active research area as the techniques used frequently have some advantages
or disadvantages, depending on the quality of the image used. The commonly used spatial filters, such
as median, mean and Gaussian filters would cause blurring eÆect on image. Therefore, a PDE-based
image denoising will be introduced to overcome the problem. The technique is selected because it has
a good denoising eÆect and hence, a better edge preservation on image. In this paper, a second-order
PDE and a fourth-order PDE are computationally solve using finite diÆerence scheme and implemented
on radiographic images for the purpose of removing image noise. Then, the performances of the models
are evaluated using peak signal to noise ratio (PSNR) to evaluate the image quality. In addition, the
blockiness eÆect of the processed image is measured using Tchebichef moment. Results have shown that
the fourth-order PDE performed better in term of image quality and it is able to reduce the blockiness
eÆect on noisy images, as compared to the second-order PDE.
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keywords: partial diÆerential equation; image denoising; finite diÆerence; Peak Signal to Noise Ratio;Tchebichef moment.
MPSK 24 - ACTIVATION FUNCTION COMPARISON IN NEURAL-SYMBOLIC
INTEGRATION
a,b
ABSTRACT
The activation function is a dynamic paradigm for doing logic programming in Hopfield neural network.
In neural-symbolic integration, the activation function used to metamorphose the activation level of a
unit (neuron) into an output signal. The proposed activation function is Bipolar sigmoid activation
function. The main goal of this research is to compare and analyze the performance of proposed activation function paradigm with another sign function, namely McCulloch-Pitts function based on Wan
Abdullah’s method. In this study, we evaluate experimentally the diÆerences between both functions
through computer simulations.Computer simulations are conducted to demonstrate the ability of Bipolar
sigmoid function and McCulloch-Pitts function doing the logic programming in Hopfield neural network.
Microsoft Visual C++ 2013 is used as a platform for training and testing. The performance of Bipolar
sigmoid activation function and the McCulloch-Pitts function were discussed holistically by comparing
the global minima ratio, Hamming distance and training or computation time. It was proven by computer simulations that the Bipolar sigmoid activation function has a better performance, provides good
solutions and achieves an acceptable stability compared to the McCulloch-Pitts function.
keywords: Activation function; Logic programming; Hopfield neural network; Hamming distance; Global
minima ratio.
MPSK 25 - DOMINANT POINTS DETECTION FOR PLANAR DATA
LIM AI HUIa & KONG VOON PANGb
a,b
Pulau Pinang, Malaysia
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ABSTRACT
Dominant points detection was considered to extract a number of important points from a set of data
points collected from some scientific phenomena or analytical studies. The extracted data points shall
able to reflect the original shape of the data. Here, a method to detect the dominant points is proposed
using an exclusive formula which involved eigenvalues of the covariance matrix. Concept of region of
support which played an vital role in dominant point detection also is discussed. A few samples where
the data points are regularly spaced and irregularly spaced are used to test the e±ciency of the method.
The graphical results are presented to show shape preservation of the dominant points to the shape of
the data.
keywords: dominant points; covariance matrix; eigenvalues; region of support; shape preservation.
MPSK 26 - NEW BLOCK RUNGE-KUTTA METHOD WITH VARIOUS WEIGHTS
FOR SOLVING STIFF ORDINARY DIFFERENTIAL EQUATIONS
SAUFIANIM JANA AKSAHa , ZARINA BIBI IBRAHIMb & YONG FAEZAH RAHIMc
a,b
Institute for Mathematical Research, Deparment of Mathematics, Faculty of Science
43400 UPM Serdang, Selangor, Malaysia
[email protected]
c
Centre of Foundation Studies for Agricultural Science
[email protected]
ABSTRACT
This paper discusses the development of a new block Runge-Kutta (NBRK) method with various weights
for solving stiÆ ordinary diÆerential equations (ODEs). Stability properties of the method with various
weights are investigated. Performance of the proposed method in terms of maximum error and computational time is compared with third order RK (RK3) method and modified weighted RK3 method based on
Centroidal Mean (MWRK3CeM). Comparison between weights used is also analyzed. Numerical results
show that the proposed method outperformed the MWRK3CeM and the RK3 method.
Keywords: block; weighted; Runge-Kutta; stiÆ ODE.
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MPSK 27 - GENETIC ALGORITHM FOR MULTI-PERIOD OUTBOUND
INVENTORY ROUTING PROBLEM FOR SPLIT DELIVERY
NUR ARINA BAZILAH BINTI AZIZa
a
[email protected]
ABSTRACT
The Inventory Routing Problems (IRP) is an important component of Vendor Managed Inventory (VMI)
policies. This study addresses an outbound distribution network with split inventory delivery consisting
of an assembly plant and many geographically dispersed customers. Split deliveries are used to reduce
total fleet cost to meet the customer’s demand. We consider a finite horizon, multi-periods and singleproduct where a fleet of capacitated homogeneous vehicles, housed at a depot, transport products from
the assembly plant to the customers to meet the demand specified by the customers in each period. The
demand for each customer is deterministic and time-varying. A formulation is provided in this study
and a genetic algorithm model based on allocation first, route second method that considers both the
inventory and transportation cost is proposed.
Keywords: inventory routing problem; genetic algorithm; split delivery.
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MPSK 28 - PRECONDITIONED JACOBI-TYPE ITERATIVE METHODS FOR
SOLVING FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND
MOHANA SUNDARAM MUTHUVALUa
a
Department of Fundamental and Applied Sciences, Faculty of Science and Information Technology
32610 Bandar Seri Iskandar, Perak, Malaysia
[email protected]
ABSTRACT
In this paper, performance analysis of the preconditioned Jacobi-type iterative methods for solving linear
systemarise from Fredholm integral equations of the second kind is investigated. The formulation and
implementation of the proposed methods are presented. Also, several numerical results are included to
support the theoretical results of this paper.
Keywords: Fredholm integral equation; Linear system; Preconditioned Jacobi; Convergence analysis.
MPSK 29 - TOOLS IN DATA SCIENCE FOR BETTER PROCESSING
NUR SYAHELA HUSSIENa , SARINA SULAIMANb & SITI MARIYAM SHAMSUDDINc
nursyahela [email protected], [email protected], [email protected]
a,b,c
ABSTRACT
Data analysis is one of important phase indata science researches. There are many tools that can be
used in analyzing the dataset to get the experiment results either for classification, clustering and others.
However, the researchers concern about how to increase the e±ciency and eÆectivenessof analyzing their
dataset. In this paper, three open sourcetoolsincluding the Waikato Environment for Knowledge Analysis
(WEKA), Konstanz Information Miner (KNIME) and Salford Predictive Modular (SPM)are compared
to identify the better processing tools in evaluating the data science. All these kind of tools have their
own characteristic, which is WEKA can handle pre-processing then analyses the data based on diÆerent
algorithms and it is suit to use for classification, regression, clustering, association rules, and visualization.
The algorithms can be applied directly to analyze a dataset or canbe called bythe Java code. Meanwhile
KNIME is more on graphically looked and easy to understand the flow of the processing in analyzing the
datasets. Furthermore, SPM is a highly accurate and ultra-fast analytics and also data mining platform
for any size, complexity or organization.The results illustrated that these three tools were capable to
analyze and evaluate the dataset in the e±cient and eÆective manner.
Keywords: data science; e±cient and eÆective processing; WEKA; KNIME; SPM.
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MPSK 31 - DERIVATION OF BBDF-Æ FOR SOLVING ORDINARY DIFFERENTIAL
EQUATIONS
ISKANDAR SHAH MOHD ZAWAWIa & ZARINA BIBI IBRAHIMb
a
[email protected]
b
43400, Serdang, Selangor, Malaysia
[email protected]
ABSTRACT
In this paper, the BBDF-Æ of order three is derived in a constant step sizefor solving first order ordinary
diÆerential equations (ODEs). The coe±cients of formula are generated using Maple software package.
The influence of parameter Æ is considered to produce approximate solutions at two points simultaneously within a block. Several experiments are included to show the capability of the proposed method.
Numerical results indicate that the BBDF-Æ is suitable for solving ODEs and competes well with existing
method.
Keywords: block; stiÆ; dissipation; stability.
MPSK 32 - INTEGRATION OF INTERVAL TYPE-2 FUZZY SETS AND ANALYTIC
HIERARCHY PROCESS: IMPLICATION TO COMPUTATIONAL PROCEDURES
LAZIM ABDULLAHa & LIANA NAJIBb
School of Informatics & Applied Mathematics
alazim [email protected], [email protected]
a,b
ABSTRACT
The fuzzy sets theory has been developed tremendously since 1965 from a typical notation of single
membership of fuzzy sets to the recent footprint of uncertainty of interval type-2 fuzzy sets. It has
been successfully integrated in many multi-criteria decision making (MCDM) methods including analytic
hierarchy process (AHP). It seems that fuzzy sets are well-fitted with AHP thereby innovates a version
of interval type-2 fuzzy AHP. However, eÆect of this integration toward computational procedures of
AHP is rarely investigated. This paper describes the integration and investigates its implication to the
computational procedures. A numerical example is presented to illustrate the implication.
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Keywords: Computational procedures; fuzzy numbers; multi-criteria decision making; analytic hierarchy
process.
MPSK 34 - A NEW TYPES OF SPLINE MODELLING USING FUZZY LINGUISTIC
APPROACH
ABD FATAH WAHABa & MOHD SALLEHUDDIN HUSAINb
a,b
Pusat Pengajian Informatik & Matematik Gunaan,
[email protected], salleh [email protected]
ABSTRACT
The problem of fuzzy linguistic data is di±cult to analyse. By the existing approaches are not be able
to describe the data in the form of a geometric figure which smooth and continuous. This is because the
generalization of the problems of linguistic data in the form of curves and surfaces require a new of the
models which characterized by a fuzzy linguistic. In this paper introduces a new types of fuzzy spline
models such as fuzzy Bezier splines and fuzzy B-splines by using the definition of fuzzy linguistic control
points.For the eÆectiveness of the model, some numerical examples are given at the end of this paper.
Keywords: Linguistic fuzzy control point, Fuzzy linguistics Bezier spline, Fuzzy linguistics B-spline.
MPSK 35 - APPLICATION OF DISC BEZIER CURVE IN DESIGNING WIDE FONT
SITI MARIAM ISMAILa , NURUL HUSNA HASSANb , MAZWIN TANc & NORASRANId
Bahagian Asas Teknikal
UniKL Spanish Institute (Msi)
Kulim, Kedah
[email protected], [email protected], [email protected], Nurul
[email protected]
a
ABSTRACT
There are various methods or techniques to construct smooth curves, but sometime it needs an eÆort
to understand those methods. Bezier representation is commonly used in generating curves due its
interesting properties and stabilizes in calculating. The control points play important roles for shape
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designing. One of interesting application is font design where outline curves of font are constructed. In
this paper we apply a diÆerent approach by replacing the control points with the parametric function of
disc in facilitates the design of wide fonts. Thus, diÆerent shapes and diÆerent font sizes can be produced.
Keywords: Bezier curve, parametric function of disc.
MPSK 36 - BEZIER-LIKE SPIRAL TRANSITIONS FOR DESIGN ENVIRONMENT
AZHAR AHMADa , GOBITHAASAN R. U.b & JAMALUDDIN M. ALIc
Faculty of Sciences and Mathematics
Universiti Pendidikan Sultan Idris
35900 Tanjung Malim, Perak, Malaysia
[email protected]
a
Faculty of Sciences and Technology
21030 Kuala Terengganu, Terenganu, Malaysia
[email protected]
b
[email protected]
c
ABSTRACT
This paper presents the composition of G2 curves by joining line segments and circular arcs with quartic
Bezier-like spiral transitions. Curvature analysis on quartic Bezier-like is carried out to obtain a smooth
geometric interpolation up to G3 continuity. The results indicate that the proposed spiral transitions can
be found in simple and flexible manner as compared to the standard quartic Bezier. This paper ends with
number examples of application in product design which preserves the functional and aesthetic aspect
for the product.
Keywords: transition curve, quartic Bezier-like, curvature.
MPSK 37 - FACILITY LAYOUT PROBLEM USING SINGLE ROW ROUTING
NOR AINA MOHMUDa & SHAHARUDDIN SALLEHb
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Centre for Industrial and Applied Mathematics
81310 Johor Bahru, Malaysia [email protected], [email protected]
a,b
ABSTRACT
This paper presents a new approach for solving single row facility layout problem in manufacturing system.
Given n single row equidistance facilities and its pair, the objective is to minimize the energy function, F.
The energy function is defined as a summation of the product of energy level and the distances between
facilities. Minimum energy function will lead to optimal path. Hence, the problem is model as a single
row routing problem to obtain the energy level and the path for automated guided vehicle, AGV to move
from one facility to another. Simulated annealing algorithm is employed for solving this problem.The
experimental results are obtained for diÆerent sets of machines.
Keywords: Single-row facility layout; single-row routing; simulated annealing.
MPSK 38 - HARALICK TEXTURE AND INVARIANT MOMENTS FEATURES FOR
BREAST CANCER CLASSIFICATION
SITI SALMAH YASIRANa , SHAHARUDDIN SALLEHb & ROZI MAHMUDc
Centre for Industrial and Applied Mathematics
Faculty of Sciences
81310 Johor Bahru, Malaysia [email protected], [email protected]
a,b
Faculty of Medicine
43400, Serdang, Selangor. Malaysia [email protected]
c
ABSTRACT
Classification of breast cancer is essential in determining the type of treatment that should be applied.
Thus, a Computer Aided Diagnosis (CADx) may assist radiologists in making appropriate decision based
on the classification results. In this paper, the classification is divided into two categories; to classify the
cancer into benign and malignant (two classes) and to classify the character of the background tissue
either fatty, glandular or dense (multi class). The HaralickTexture features and Invariants moments was
proposed as the features extraction. There are three phases conducted in this study. The first phase is
the pre-processing phase. This is followed by the features extraction phase where combination of moment
based features with addition of four features was proposed. The final phase is the classification phase by
using SVM classifiers. Results obtained shows that the accuracy of the proposed features is 90.5% and
77.5% for two classes and multi class respectively.
Keywords: Mammograms; Haralick texture features; Invariants Moments; SVM; multi class classifications; ROC.
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MPSK 39 - INTEGER LINEAR PROGRAMMING MODEL FOR TIMETABLING
PROBLEM
Syarifah Zyurina Nordina & Nur Aisyah Ramlib
Department of Mathematical Science
Faculty of Science
Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor
[email protected], penyu [email protected]
a,b
ABSTRACT
In this paper, we consider the existence of extra requirements to the basic model of the timetabling
problem. The requirements that need to be fulfilled by the scheduler are personal needs from certain
customers. The customers demand to schedule their task within a specific range of time. The customer
also suggests consecutive time of the task within the maximum time required a day. Our objective is
to schedule a feasible timetable that can fulfill all the requirements from the customer by maximizing
thetimeslot of task allocation. An integer linear programming model is presented for the timetabling
problem that considers extra requirement from the customers. A case study is implemented using AIMMS
3.10 package and CPLEX as the solver. The case study is taken from Department of Mathematics,
UniversitiTeknologi Malaysia. The results show that the model able to produce a feasible schedule that
satisfies all the requirements by the customers.
Keywords: timetabling problem, integer linear programming.
> > > > > > >>
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PURE MATHEMATICS
MT 01 - ATOM BOND CONNECTIVITY INDEX OF GRAPH WITH TWO EDGES
ADDED
MOHAMAD NAZRI HUSINa & ROSLAN HASNIb
naz [email protected], [email protected]
a,b
ABSTRACT
Let G a graph. Theatom-bond connectivity index of G, denoted by ABC(G), is defined as the sum of the
µ
∂1
du + d v ° 2 2
weight
of all edges uv of G, where du denotes the degree of a vertex in G. The ABC
du dv
index provides a good model for the stability of linear and branched alkanes as well as the strain energy
of cycloalkanes. K.C. Das, I. Gutman and B. Furtula in [Chemical Physics Letters 511(2011), 452-454]
proved that the ABC index necessary increases when a new edge is inserted into a graph. With the same
motivation, in this paper, we investigate the eÆect of ABC index of a graph when any two edges are
added.
Keywords: : Atom-bond connectivity index, Graph.
MT 02 - 3-TOTAL EDGE PRODUCT CORDIAL LABELING OF WHEEL RELATED
GRAPHS
ROSLAN HASNIa & ALMOTHANA AZAIZEHb
a,b
ABSTRACT
For a graph G = (V (G), E(G)), an edge labeling function f : E(G) ! {0, 1, . . . , k ° 1} where k is an
integer, 2 ∑ k ∑ |E(G)|, induces a vertex labeling function f § : V (G) ! {0, 1, . . . , k ° 1} such that
f § (v) is the product of the labels of the edges incident to v (mod k). This function f is called k-total
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edge product cordial labeling (or simply k-TEPC) of G if |(vf (i) + ef (i)) ° (vf (j) + ef (j))| ∑ 1 for all
i, j 2 {0, 1, . . . , k ° 1}. In this paper, 3-total edge product cordial labeling for a family of wheel related
graphs is determined.
Keywords: Graph labeling, Total edge product cordial labeling, Wheel related graph.
MT 03 - °§ -DERIVATIONS ON SEMIPRIME °-RINGS WITH INVOLUTION
ALI KAREEM KADHIMa , HAJAR SULAIMANb & ABDUL-RAHMAN HAMMED MAJEEDc
Universiti Sains Malaysia, 11800 Pulau Pinang, Malaysia
a,b
University of Baghdad, Baghdad, Iraq
[email protected]
c
ABSTRACT
Let M be a 2-torsion free semiprime °-ring with involution satisfying the condition that aÆbØc =
aØbÆc (a, b, c 2 M and Æ, Ø 2 °). An additive mapping d : M ! M on a °-ring M with involution is called a °§ -derivation if d(xÆy) = d(x)Æy § + xÆd(y). In this paper, we will prove that if d is a
°§ -derivation which d(x) = aÆx + xÆa§ for all x 2 M, Æ 2 ° and a fixed element a 2 M , then d = 0.
Keywords: semiprime °-ring ; semiprime °-ring with involution; °§ -derivation.
MT 05 - SANDWICH-TYPE THEOREM FOR ANALYTIC FUNCTIONS OF KOEBE
TYPE
MOHD NAZRAN MOHAMMED PAUZIa & SAIBAH SIREGARb
a,b
Department of Mathematics and Statistics, Faculty of Science and Biotechnology
Universiti Selangor
45600 Bestari Jaya, Selangor, Malaysia
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ABSTRACT
We investigate the new class Hb of analytic functions with Koebe type. The subordination, superordination, best dominant result for that class has obtained. The overall calculation used several diÆerential
and other inequalities, derived su±cient conditions for starlikeness of the class Hb (Æ, Ø, ∞) of n°fold
symmetric analytic functions of Koebe type.
Keywords: Sandwich-type theorem, superordination, subordination, analytic functions, Koebe type.
MT 07 - THE SCHUR MULTIPLIER OF PAIRS OF GROUPS OF ORDER p3 q
ADNIN AFIFI NAWIa , NOR MUHAINIAH MOHD ALIb , NOR HANIZA SARMINc & SAMAD
RASHIDd
adnin [email protected], [email protected], [email protected]
a,b,c
d
Islamic Azad University
Cawangan Firoozkooh, Tehran, Iran
[email protected]
ABSTRACT
Let (G, N ) be a pair of groups in which N is a normal subgroup of G. Then, the Schur multiplier of
pairs of groups (G, N ), denoted by M (G, N ), is an extension of the Schur multiplier of a group G, which
is a functorial abelian group. In this research, the Schur multiplier of pairs of all groups of order p3 q for
distinct primes p and q and p < q is determined.
Keywords: Schur multiplier; pairs of groups; groups of order p3 q.
MT 08 - A BOHR PHENOMENON ON THE PUNCTURED UNIT DISK
ROSIHAN M. ALIAa & ZHEN CHUAN NGb
a,b
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[email protected], zc [email protected]
ABSTRACT
This paper establishes the Bohr inequality with respect to the spherical chordal distance for the class of
analytic functions mapping the unit disk in the complex plane into the punctured unit disk.
Keywords: Bohr phenomenon; Punctured disk; Bohr radius; Spherical chordal distance.
MT 09 - MULTIPLICATIVE DEGREE OF A DIHEDRAL GROUP
NORARIDA ABD RHANIa , NOR MUHAINIAH MOHD ALIb , NOR HANIZA SARMINc , AHMAD
ERFANIANd & MUHANIZAH ABDUL HAMIDe
a,b,c,e
d
Department of Pure Mathematics, Faculty of Mathematical Sciences
Ferdowsi University of Mashhad
Mashhad, Iran
erfanian@staÆ.um.ac.ir
ABSTRACT
Let G be a group and H any subgroup of G. The commutativity degree of a finite group G is defined as
the probability that a pair of elements x and y chosen randomly from a group G, commute. The concept
of commutativity degree has been extended to the relative commutativity degree of a subgroup H, which
is defined as probability that a random element of subgroup, H commutes with another random element
of a group G. This research extends the concept of relative commutativity degree to the multiplicative
degree of a group G, which is defined as the probability that the product of a pair of elements x, y chosen
randomly from a group G, is in H. This research will focus only on a dihedral group.
Keywords: commutativity degree; multiplicative degree; dihedral group.
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MT 10 - THE CUBED COMMUTATIVITY DEGREE OF SOME DIHEDRAL GROUPS
MUHANIZAH ABDUL HAMIDa , NOR MUHAINIAH MOHD ALIb , NOR HANIZA SARMINc &
AHMAD ERFANIANd
a,b,c
d
Department of Pure Mathematics, Faculty of Mathematical Sciences and Center of Excellence in
Analysis on Algebraic Structures
Universiti Ferdowsi Mashhad
Mashhad, Iran
[email protected]
ABSTRACT
Let G be a finite group. The commutativity degree of a group is the probability that a random pair
of elements in the group commute. Furthermore, the nth power commutativity degree of a group is a
generalization of the commutativity degree of a group which is defined as the probability that the nth
power of a random pair of elements in the group commute. In this research, the nth power commutativity
degree for some dihedral groups is computed for the case n equal to 3, called the cubed commutativity
degree.
Keywords: commutativity degree; dihedral groups; finite groups.
MT 11 - THE CENTRAL SUBGROUPS OF THE NONABELIAN TENSOR
SQUAREOF TORSION FREE SPACE GROUPS
SITI AFIQAH MOHAMMADa & NOR HANIZA SARMINb
a,b
ABSTRACT
Space groups of a crystal expound its symmetry properties. One of the symmetry properties is the central
subgroup of the nonabelian tensor square of a group. It is a normal subgroup of the groupwhich can be
ascertained by finding the abelianisation of the group and the nonabelian tensor square of the abelianisation of the group. In this research, our focus is to explicate the central subgroup of the nonabelian
tensor square of the torsion free space groups of a crystal which are called the Bieberbachgroups.
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Keywords: Central Subgroup, Nonabelian Tensor Square, Bieberbach groups.
MT 12 - IMPROVEMENT TO SCALAR MULTIPLICATION ON KOBLITZ CURVES
BY USING NON-ADJACENT PSEUDO ø °ADIC FORM
FARIDAH YUNOSa , KAMEL ARIFFIN MOHD ATANb , MOHD RUSHDAN MD SAIDc & MOHD
REZAL KAMEL ARIFFINd
a
[email protected]
b,c,d
ABSTRACT
Non-adjacent Pseudo ø °adic form (pseudoTNAF) for elliptic scalar multiplication on Koblitz Curve was
studied and developed by some researchers since 2012. This is an alternative to ø °adic non adjacent
form (TNAF) and reduced ø °adic non adjacent form (RTNAF) methods that was produced earlier. The
objective of this paper is to improve the eÆectiveness of the scalar multiplication algorithm. This is
achieved by transforming an integer multiplier of the scalar multiplication to an element in the form of
pseudoTNAF. Subsequently, a proof that the density of the pseudoTNAF Hamming weights (HW) is less
four percents than the HW of both TNAF’s and RTNAF’s expansions is given.
Keywords: density; Koblitz curve; scalar multiplication; Hamming weights; adic.
MT 13 - ON THE NUMBER OF EIGENVALUES OF THE TWO-PARTICLE
SCHRÖDINGER OPERATOR ON A LATTICE
MUKHIDDIN I. MUMINOVa
a
Department of Mthematical Sciences, Faculty of Science
81310 UTM Johor Bahru, Malaysia
[email protected]
§ 93 §
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ABSTRACT
We consider the Hamiltonian of a system of two quantum mechanical particles moving on the ∫°dimensional
lattice and interacting via short range potential. We first will talk some well known spectral properties
of two-particle discrete Schrödinger operator h(k), k 2 (°º, º]∫ . Next, we will discuss on new results
about finiteness of embedded eigenvalues for some class two-particle discrete Schrödinger operators.
Keywords: discrete Schrödinger operator; discrete spectrum; absence of singular spectrum.
MT 14 - ON DECOMPOSITON OF COMPLETE GRAPHS INTO HAMILATONIAN
CIRCUITS AND CYCLIC DESIGNS
HASLINDA IBRAHIMa , SHARMILA KARIMb , MAIZON MUHD DARUSc & KHALED
MATARNEHd
a
Department of Mathemamatics, College of Science
University of Bahrain
P.O. Box 32038 Kingdom of Bahrain
[email protected]
Pusat Pengajian Sains Kuantitatif, College Arts and Sciences
06010 Sintok, Kedah, Malaysia
[email protected], [email protected], [email protected],
[email protected]
a,b,c,d
ABSTRACT
This paper provides a glimpse of decomposition of complete graph into visualization of distinct hamiltonian circuits using butterfly method. Several distinct classes of hamiltonian circuits will be presented.
Then, we will discuss further how complete graph can be decomposed into array cyclic designs towards
constructing nonrepeated triple systems.
Keywords: Complete graph, Hamiltonian circuits, array cycle design, triple system.
MT 15 - PAIRWISE NEARLY COMPACT AND NEARLY PARACOMPACT
BITOPOLOGICAL SPACES AND ITS APPLICATIONS
ZABIDIN SALLEHa
§ 94 §
a
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[email protected]
ABSTRACT
In this paper, we shall introduce and study the pairwise nearly compact and paracompact bitopological
spaces and investigate some of their characterizations. Moreover we study the pairwise nearly compact
and pairwise nearly paracompact bitopological spaces by using -property. Furthermore the Lindelöf and
pairwise nearly Lindelöf bitopological spaces are also discussed. Finally, we suggest some ideas to apply
the spaces mention above to study the topological entropy which is using to measure the complexity of
dynamical systems.
Keywords: compact, paracompact; nearly compact; nearly paracompact; topological entropy.
MT 16 - CYCLIC CONJUGACY SEPARABILITY OF CERTAIN HNN EXTENSIONS
OF CYCLIC CONJUGACY SEPARABLE GROUPS
LIM HUI MINa , WONG KOK BINb & WONG PENG CHOONc
Universiti of Malaya
a,b,c
ABSTRACT
A group G is said to be cyclic conjugacy separable (c.c.s.) if for each x 2 G and each cyclic subgroup
< y > of G such that no conjugate of x in G lies in < y >, then there exists a finite homomorphic image Ḡ
of G such that no conjugate of x̄ in Ḡ lies in < ȳ >. In this paper, we show that certain HNN extensions
of cyclic conjugacy separable groups are cyclic conjugacy separable. We then apply our results to HNN
extensions of polycyclic-by-finite groups.
Keywords: cyclic conjugacy separable; subgroup separable; HNN extensions.
MT 17 - AN EVEN AND ODD SITUATION FOR THE MULTIPLIER OF SCALAR
MULTIPLICATION WITH NON-ADJACENT PSEUDO ø °ADIC FORM
SYAHIRAH MOHD SUBERIa , FARIDAH YUNOSb & MOHD RUSHDAN MD SAIDc
§ 95 §
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Institute of Mathematical Research
a,b,c
ABSTRACT
An algorithm for elliptic scalar multiplication (SM) on Koblitz Curve where the multiplier of SM is in
the form of pseudo ø °adic non adjacent form (pseudoTNAF) was developed by some researchers since
2012. This expansion is equivalent to ø °adic non-adjacent (TNAF) and reduced ø °adic non-adjacent
form (RTNAF) that was produced earlier. Some properties for the multiplier of SM was proposed in
order to guess the secret message. For the same reason, the objective of this paper is to give three new
properties for such multiplier based on an even and odd situation an element of ring Z(ø ).
Keywords: Koblitz curves; scalar multiplication; ø °adic non-adjacent form.
MT 18 - SOME CONSTRUCTIONS ON TOTAL LABELLINGS OF M TRIANGLES
CHEN HUEY VOONa , LIEW HOW HUIb & YIM KHENG HOWc
a,b,c
Department of Mathematical and Actuarial Sciences, Lee Kong Chian Faculty of Engineering and
Science
Universiti Tunku Abdul Rahman
Jalan Sungai Long, Bandar Sungai Long, Cheras 43000 Kajang, Selangor, Malaysia
ABSTRACT
Let mK3 = (Vm , Em ) be a finite disconnected graph consisting of m disjoint triangles K3 , where Vm
is the set of vertices, Em is the set of edges and both Vm and Em are of the same size 3m. A total
labelling of mK3 is a function f which maps the elements in Vm and Em to positive integer values, i.e.
f : Vm [ Em ! {1, 2, ...}. Let c be a positive integer. A triangle is said have a c°Erdosian triangle
labelling if it is a total labelling f : Vm [ Em ! {c, c + 1, ..., c + 6m ° 1} such that f (x) + f (y) = f (xy) for
any x, y 2 Vm and an edge xy 2 Em joining them. In order to find all the c-Erdosian triangle labelling, a
straight forward is to use the exhaustive search. The combinatorial explosion has limited the exhaustive
search to only m < 5. By studying the constant sum of vertex labels, we propose a strong permutation
approach, which allows us to generate a certain classes of c°Erdosian triangle labelling up until m = 8.
Keywords: graph labelling; total labelling; c°Erdosian.
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MT 19 - ON THE SHORTEST PATH IN SOME k°CONNECTED GRAPHS
K. A., SIMa , T. S., TANb & K. B., WONGc
Universiti Malaya
a
ABSTRACT
Suppose G is a connected graph and u and v are two distinct vertices in G. Let P [u, v] be the shortest
path in G with endpoints u and v. Let S = {|V (P [u, v])| : u, v 2
/ V (G)} and t(G) = maks{s : s 2 S}. A
graph G is said to be k°connected if it has more than k vertices and removal of fewer than k vertices
∑
∏does
n°2
not disconnect the graph G. We show that in a k°connected graph G with n vertices, t(G) ∑
+2.
k
We also present some graphs where the equality holds.
Keywords: graph, shortest path; k°connected
MT 20 - THE ORBIT GRAPH OF METACYCLIC 3-GROUPS
SITI NORZIAHIDAYU AMZEE ZAMRIa , NOR HANIZA SARMINb & SANAA MOHAMED SALEH
OMERc
a,b
c
Universiti Benghazi
Benghazi, Libya
[email protected]
ABSTRACT
Let G be a metacyclic 3-group of negative type of nilpotency class two. In this paper, ≠ is a set of all
subsets of all commuting elements of G of size three in the form of (a, b), where a and b commute. The
probability that an element of a group G fixes a set ≠ is one of extensions of the commutativity degree
that can be obtained under group action on set. This probability is the ratio of the number of orbits to
the order of ≠. In this paper, the orbits that obtained from the probability of group element fixes a set
are applied to graph theory, particularly to the orbit graph.
Keywords: metacylic 3-group, commutativity degree, group action on a set, orbit graph.
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MT 22 - ELLIPTIC CURVE CRYPTOGRAPHY
AIMI ZULLIAYANA ROSLIa & SUZIANA AIDA OTHMANb
a,b
Department of Mathematics, Faculty of Computer and Mathematical Sciences
Universiti Teknologi MARA (UiTM) Kelantan
18500 Machang, Kelantan, Malaysia
ABSTRACT
The study of the use of elliptic curve for public key cryptosystem has been developed almost 25 years
ago. The strength of the elliptic curve cryptosystem relies on the solution of elliptic curve discrete
logarithm problem (ECDLP). This study will concentrate on elliptic curve cryptography based on prime
field. This study introduces some basic operations in modulo arithmetic for better understanding of
techniques of calculations which are necessary to perform modulo arithmetic at the end of calculations.
Besides that, this study introduces method of validating the domain parameters of an elliptic curve
together with the operations and rules used when dealing with the points on an elliptic curve. The
method for encoding a message (plaintexts) into the integer form is also presented in this study. This
study also will introduce the method for embedding plaintexts using points on an elliptic curve. Lastly,
this study shows an implementation of encryption and decryption process for elliptic curve cryptography
using one of the major algorithm namely ElGamal algorithm. The implementation of Di±e-Hellman
key exchange algorithm using elliptic curve is also shown in this study. In executing examples for more
obvious illustration, Mathematica software version 7.0 is used.
Keywords: cryptosystem; elliptic curve; modulo arithmetic.
MT 23 - STARLIKENESS OF TRIPLE INTEGRAL OPERATORS
YAO LIANG CHUNGa & SEE KEONG LEEb
yaoliang [email protected], [email protected]
a,b
ABSTRACT
The main objective of this paper is to discuss su±cient condition for a function analytic in an open unit
disk to be starlike of order Ø in concerned with third-order diÆerential inequalities. Connections are also
made to earlier known results.
Keywords: DiÆerential subordinations; starlike function; convex function.
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MT 25 - GROUPS AND GRAPHS IN PROBABILITY THEORY
NOR HANIZA SARMINa , MUSTAFA ANIS EL-SANFAZb & SANAA MOHAMED SALEH OMERc
a,b
[email protected], Kabeto [email protected]
b,c
University of Benghazi
Benghazi, Libya
[email protected]
ABSTRACT
In this paper, G denotes a dihedral group of order 2n and ≠ denotes the set of all subsets of all commuting
elements of size two in the form of (a, b) where a and b commute and |a| = |b| = 2. By extending the
concept of commutativity degree, the probability that an element of a group fixes a set can be acquired
using the group actions on set. In this paper, the probability that an element of G fixes the set ≠ under
regular action is computed. The results obtained are then applied to graph theory where their related
graphs are found.
Keywords: dihedral group, commutativity degree; probability theory, group action; graph theory.
MT 26 - HARMONIC STARLIKE FUNCTIONS WITH RESPECT TO SYMMETRIC
POINTS
ADNAN G. ALAMOUSHa & MASLINA DARUSb
a,b
43600 Bangi, Malaysia
adnan [email protected], [email protected]
ABSTRACT
Here a new class of complex-valued harmonic functions with respect to symmetric points is introduced.
Coe±cient bounds, distortion and various properties are obtained.
Keywords: Harmonic univalent, starlike functions, Hadamard product, symmetric points.
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MT 27 - LINEAR MAPS PRESERVING CLASSICAL ADJOINT ON TENSOR
PRODUCTS OF SYMMETRIC MATRICES
LAU JIN TINGa
Institut Sains Matematik
Universiti Malaya
[email protected]
a
ABSTRACT
Motivated from the study of linear preservers on tensor speces in quantum information science, we present
a characterization of linear maps preserving classical adjoint on sums of tensor products of symmetric
matrices over a field of characteristics not two.
Keywords: Tensor products; linear preservers; classical adjoint; symmetric matrices.
MT 28 - THE SPECTRAL PROPERTIES OF THE DISCRETE SCHRÖDINGER
OPERATOR WITH NON-LOCAL POTENTIAL
ZAHRIDDIN MUMINOVa , NUR’AZAH ABDUL MANAFb & UTKIR KULJANOVc
MJIIT
University Teknologi Malaysia KL
Jalan Semarak, 54100 Kuala Lumpur, Malaysia
a,b
Samarkand State University
University Boulevard 15
703004, Samarkand, Uzbekistan
utkir [email protected]
c
ABSTRACT
On the three-dimensional lattice , the spectrum of the discrete Schrdinger operator is studied, whose
potential consists of non-local and constructed via multiplication and shift operators. The discrete spectrum, threshold eigenvalues and resonances are explicitly derived.
Keywords: Discrete Schrödinger operators, threshold resonance, eigenvalues, lattice.
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MT 29 - MOUFANG LOOP OF ODD ORDER p31 p32 · · · p3n
ANDREW RAJAHa & LOIS ADEWOYE ADEMOLAb
a,b
ABSTRACT
All Moufang loops of order p3 q 3 where p and q are odd primes with p < q and q 6= 1 (mod p) were shown
to be associative. In this paper, we generalize this result to Moufang loops of order p31 p32 · · · p3n .
Keywords: Moufang loop; order; nonassociative.
MT 30 - THE GENERATIVE CAPACITY OF WEIGHTED SIMPLE AND
SEMI-SIMPLE SPLICING SYSTEMS
YEE SIANG GANa , WAN HENG FONGb , NOR HANIZA SARMINc & SHERZOD TURAEVd
a,b,c
d
Department of Computer Science, Kulliyyah of Information and Communication Technology
International Islamic Universitiy Malaysia
53100 Jalan Gombak, Selangor D.E., Malaysia
[email protected]
ABSTRACT
The mathematical modelling of splicing systems (H systems) was initiated by Head in 1987. By restricting
the splicing rules of splicing systems, some variants of splicing systems such as simple and semi-simple
splicing systems have been developed. Due to the limitation on the generative power of the variants of
splicing systems, weights have been used as the restrictions in the variants of splicing systems recently,
namely weighted one-sided splicing systems, weighted simple splicing systems and weighted semi-simple
splicing systems. In this paper, we investigate the generative power of weighted simple and semi-simple
splicing systems by considering diÆerent and specified weighting spaces and weighting operations. In
addition, the generative power of weighted simple and semi-simple splicing systems are generalised by
relating their generated threshold languages to the Chomsky hierarchy.
Keywords: weights, simple, semi-simple, splicing systems, generative power.
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MT 31 - AN EXACT NUMBER OF COMPATIBLE PAIR OF SOME NONTRIVIAL
ACTIONS FOR CYCLIC GROUP OF 2-POWER ORDER
SAHIMEL AZWAL SULAIMANa , MOHD SHAM MOHAMADb & YUHANI YUSOFc
Universiti Malaysia PAHANG, Lebuhraya Tun Razak
26300 Gambang, Kuantan Pahang Darul Makmur
a,b,c
ABSTRACT
The nonabelian tensor product has its origins in connection of a generalized Van Kampen theorem.
Nonabelian tensor products between two groups are defined when the actions act compatibly on each
other. By necessary and su±cient conditions on the actions to be compatible, an exact number of
the compatible pair for nontrivial actions is determined. This paper will give an exact number of the
compatible pair of actions for cyclic group of 2-power order but focused only when one of the actions has
order two.
Keywords: Compatible actions; cyclic groups;nonabelian tensor product.
MT 32 - ON SIMULTANEOUS PELL EQUATIONS x2 ° my 2 = 1 AND y 2 ° 5z 2 = 1
NURUL AMIRAH SIHABUDINa , SITI HASANA SAPARb & MOHAMAD AIDIL MOHAMAD
JOHARIc
a,b,c
ABSTRACT
The objective of this paper is to find the solution to the Simultaneous Pell equations x2 ° my 2 = 1 and
y 2 ° 5z 2 = 1 where m is any positive integer that is not a perfect square and (m, p) = 1. By considering
the parity of x, y and z, the pattern of the solutions will be obtained. Then, the lemma and theorem will
be developed.
Keywords: Pell equation; simultaneous equation; parity.
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MT 33 - ON THE CARDINALITY OF THE SET OF SOLUTIONS TO CONGRUENCE
EQUATION ASSOCIATED WITH POLYNOMIAL OF DEGREE ELEVEN
SURIANA LASARAIYAa , SITI HASANA SAPARb & MOHAMAD AIDIL MOHAMAD JOHARIc
Institute for Mathematical Research INSPEM
43400 Serdang Selangor, Malaysia
a,b
b,c
[email protected]
ABSTRACT
Let p be a prime and f (x, y) be a polynomial in Zp [x, y]. For Æ > 1, it is defined that the exponential
2ºf (x)
P
sums associated with f modulo a prime pÆ is S(f ; q) = xmodq e q . It is shown that the estimation of
S (f ; q Æ ) is depends on the number and p°adic sizes of common roots of the partial derivatives polynomials
of f . In order to estimate the p°adic sizes of common zeros of partial derivative polynomials associated
with polynomial of degree eleven, the Newton polyhedron technique will be used. Then, the indicator
diagram will be constructed and analyzed. After that, the estimation of the cardinality of the set of the
solutions will be determined.
Keywords: Cardinality; p°adic sizes; Newton polyhedron.
MT 34 - DIFFERENTIATING THE PERSISTENCY AND PERMANENCY OF TWO
STAGES DNA SPLICING LANGUAGES VIA YUSOF-GOODE (Y-G) APPROACH
MOHAMMAD HASSAN MUDABERa , YUHANI YUSOFb & MOHD SHAM MOHAMADc
a
Department of Mathematics, Faculty of Natural Sciences
Kabul Education University
Fshar District, Kabul, Afghanistan
[email protected]
Universiti Malaysia PAHANG, Lebuhraya Tun Razak
26300 Gambang, Kuantan Pahang Darul Makmur
b,c
§ 103 §
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ABSTRACT
Predicting the existence of restriction enzymes sequences on the recombinant deoxyribonucleic acid (DNA)
fragments, after accomplishing the manipulating reaction, via mathematical approach is considered as a
convenient way in terms of DNA recombination. In terms of mathematics, for this characteristic of the
recombinant DNA strands, which involve the recognition sites of restriction enzymes, is called persistent
and permanent. Normally diÆerentiating the persistency and permanency of two stages recombinant
DNA strands using wet-lab experiment is expensive and time-consuming due to running the experiment
at two stages as well as adding more restriction enzymes on the reaction. Therefore, in this research, by
using a Yusof-Goode (Y-G) model the diÆerence between persistent and permanent splicing languages
of two stages is investigated restricted to a cutting site per string. Two theorems were presented, which
show the persistency and non-permanency of two stages DNA splicing languages.
Keywords: Y-G splicing system; persistent; permanent; two stages splicing languages.
MT 35 - MOUFANG LOOPS OF ODD ORDER P 4 Q3
ANDREW RAJAHa & LOIS ADEWOYE ADEMOLAb
a,b
School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Penang, Malaysia
ABSTRACT
We show that all Moufang loops of order p4 q13 . . . qn3 where p < q1 < . . . < qn are distinct primes, are
associative if and only if 3 < p, and for all i, j 2 1, . . . , n, p and qi is not a factor of (qj ° 1)).
Keywords: Moufang loop, Order, Associative.
MT 36 - ANALYSIS OF TUMOR POPULATION AND IMMUNE SYSTEM
INTERACTION MODEL
NOR AZIRAN AWANGa & NORMAH MAANb
a,b
§ 104 §
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ABSTRACT
Immune system plays a vital role in controlling the tumor growth. Therefore, this paper proposes a new
mathematical model that describes tumor-immune interaction, focusing on the role of natural killer (NK)
cell and CD8+ T cell. The tumor population is subdivided into two diÆerent phases, namely interphase
and mitosis. This model used Ordinary DiÆerential Equations (ODEs) and the functions involved in the
model represents tumor-immune growth, responses and interaction between the cells. The stability and
analysis of the model is carried out. From the analysis, it shown that the stability curve limits tumor
growth region. The curve from the model lie below the curve of the model with single immune response
(CD8+ T cell). This result concluded that the proposed model with involvement of NK cell suppression
will lower the tumor growth region.
Keywords: tumor growth; natural killer (NK); TCD8+ cell.
MT 37 - ON THE UPPER BOUNDS OF THE DECOMPOSITION VALUES OF THE
SCALAR k FOR THE ELLIPTIC SCALAR MULTIPLICATIONS
FARWINA ANWARa & HAILIZA KAMARULHAILIb
a,b
ABSTRACT
In this paper, upper bounds of the decomposition values for the scalar k in the elliptic scalar multiplication are computed. Namely, the scalar k of the scalar multiplication kP of a point P which has a large
prime order n lying on elliptic curve group E(Fp ) over a finite prime field Fp . In the implementation of
Elliptic Curve Cryptography, multiplication operations are considered costly , especially multiplications
involving big numbers. In view of this, many research has been initiated to reduce the cost of multiplication operations. One of the e±cient methods was proposed in 2011 by Gallant, Lambert and Vanstone,
which is known as the GLV method. In the GLV method, the scalar k was decomposed into two smaller
p
values which must not exceed n, so that multiplication operations would only involve much smaller
scalars. However, in the GLV method, there were limited number of scalars k for which the decompop
sition values are less than n. Therefore, to complement the GLV work, Ruma and H.Kamarulhaili
in 2013, proposed a modified method which is called the integer sub-decomposition (ISD) method. In
the ISD method, those decomposed values of k are further sub-decomposed into the desired smaller
values. In both the GLV and the ISD methods, there is an underlying strategic method to compute
the decomposition values of the scalar k which is called the shortest lattice method. The conception of
the decomposition and sub decomposition of the scalar k to compute the scalar multiplication kP uses
e±ciently computable endomorphisms √1 , √2 and √3 of elliptic curve E over Fp , and can be illustrated
as follows.
kP = k1 P + √1 (P )k2
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. For when, max{|k1 |, |k2 |} ∏
relation.
p
n, we then further sub decomposed the above relation into the following
kP = k11 P + k12 √2 (P ) + (k21 + k22 √3 )√1 (P )
p
for max{|k11 |, |k12 |, |k21 |, |k22 |} ∑ C n for some explicit constant C > 0. The integers k1 , k2 , k11 , k12 , k21 , k22
are the decomposition values of the scalar k. give the upper bounds of all these values k1 , k2 , k11 , k12 , k21 , k22
individually.
Keywords: Elliptic Curve Cryptography, E±ciently Computable endomorphism, Scalar Multiplication,
Integer Decomposition Method.
MT 38 - ELEMENT ORDERS IN FINITE GROUPS AND THEIR RELATIONS WITH
OTHER GROUP INVARIANTS
ANGELINA CHIN YAN MUIa
a
Universiti Malaya
[email protected]
ABSTRACT
In this talk we present some recent results on sums and products of element orders in finite groups. We
also discuss their relations with some other group invariants. In particular, we obtain upper and lower
bounds for the sum of element orders of a finite group in terms of the exponent of the group, the order
of its center and the number of conjugacy classes in the group.
Keywords: element order; finite group; group invariant.
MT 39 - SOME REMARKS ON COMMON FIXED POINTS PROBLEMS IN HILBERT
SPACES
A. KILICMANa & L.B. MOHAMMEDb
a,b
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ABSTRACT
In the present study, we propose a new algorithm for solving split common fixed point problems for the
class of finite family of strict pseudocontractive mappings in Hilbert spaces and also proved convergence
problem in the new algorithms. The results extend, improve and generalize several well known results in
the literature.
Keywords: Iterative Algorithm; Strict Pseudocontractive; Split Common Fixed Point; Weak and Strong
Convergence.
MT 40 - MCCOY CONDITION IN SKEW VERION
Hamideh Pourtaheriana & Isamiddin. S. Rakhimovb
a
43400 UPM Serdang, Malaysia
h [email protected]
b
bInstitute of Mathematical Sciences
Universiti Putra Malaya
43400 UPM Serdang, Malaysia
[email protected]
ABSTRACT
This paper deals with the Æ°McCoy ring in general setting. We generalize the notions of McCoy ring
by considering McCoy condition on skew polynomial ring instead of polynomial ring. In this paper
the relationship between rings in skew version is considered. Finally the extension of ring is Æ°McCoy
investigated
Keywords: McCoy; Skew polynomial ring; Armendariz ring.
NON-COPRIME GRAPH OF A FINITE GROUP
AHMAD ERFANIANa
a
Department of Pure Mathematics and Center of Excellence in Analysis on Algebraic Structure
Ferdowsi University of Mashhad
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Mashhad, Iran
[email protected]
ABSTRACT
In this article, we introduce the non-coprime graph associated to the finite group G with vertex set
G{e} such that two distinct vertices are adjacent whenever their orders are relatively non-coprime. Some
numerical invariants like diameter, girth, dominating number, independence and chromatic numbers are
determined and it has been proved that the non-coprime graph associated to a group is planar if and only
if a group is isomorphic to Z2 , Z3 , Z4 , Z2 £ Z2 , Z5 , Z6 or S3 . Moreover, we prove that non-coprime graph
of a nilpotent group G is regular if and only if G is a p-group, where p is prime number. Furthermore, a
connection between the non-coprime graph and the famous prime graph has been stated here
Keywords: Nilpotent group, abelian group, non-coprime, diameter, girth, dominating number,
> > > > > > >>
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EDUCATIONAL MATHEMATICS
MP 02 - LOW PERFORMANCE STUDENTS’S MOTIVATION LEVEL TOWARDS
TEACHING AND LEARNING USING GEOGEBRA LEARNING MODULE
MUHAMAD HAFIZHUDDIN ABDUL RAHMANa & MARZITA PUTEHb
Bahagian Tajaan Pendidikan
Kementerian Pendidikan Malaysia
Aras 1, Blok 2251, Bangunan Mustapha Kamal
Jalan Usahawan 1,63000 Cyberjaya, Selangor
[email protected]
a
b
Jabatan Matematik, Fakulti Sains dan Matematik
Kampus Sultan Azlan Shah
Universiti Pendidikan Sultan Idris
[email protected]
ABSTRACT
Students with low level of performance were found to have low motivation in learning Mathematics.
This research paper presents way to gauge motivation level among students with low performance during
Mathematics lesson by using the GeoGebra Module. Students were exposed to the GeoGebra Learning
Module for learning Trigonometry II through a 2-hour Mathematics workshop. The participants for this
research are 39 students with low performance from Muar, Johor. The data analysis which applies the
Instructional Material Motivational Scale shows an overall students’ high motivation level at (M = 1.90).
The mean for attention subscale was (M = 1.9), relevance was (M = 1.95), confidence was (M = 2.09)
and satisfaction was (M = 1.64). These findings show that students retain positive level of motivation
towards the GeoGebra Learning Module. Thus, it shows that the GeoGebra Module is a potential module
that increases the motivation level among students with low performance to learn Mathematics.
Keywords: GeoGebra; Motivation; Trigonometry, Mathematics, Learning Module.
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MP 03 - INTEGRATING HISTORY OF MATHEMATICS TO PROMOTE CREATIVE
AND CRITICAL THINKING IN ALGEBRA AMONG STUDENTS IN SELANGOR
MOHD FAIZAL WAHIDINa , ASMAH AHMADb & SAIBAH SIREGARc
Faculty Education & Social Science
Universiti Selangor (UNISEL)
md [email protected] , [email protected], [email protected]
a,b,c
ABSTRACT
A more meaningful climate needed in the process of teaching and learning (T & L) to ensure that
students are more confident with mathematics. Many educators believe that students will remember
and love math if knowledge is meaningful to him. Encompasses not only the mastery of learning skills
knowledge alone, but involves emotional development, attitudes, values and artistry internal aesthetics
also influenced by the T & L (Saniah et al., 2000). This paper aims to discuss the implementation of the
history of mathematics in teaching mathematics KBSM for Algebra topics. Construction of a web-based
and module will try to provide exposure and new alternative to the teachers on how to integrate history
of mathematics in teaching so that students are more interested in further enhancing creative and critical
thinking and student motivation. In addition, students’ understanding of a mathematical concept to be
stronger with exposure solution mathematical renown figures of various civilizations..
Keywords: History of mathematics; Algebra; Teaching Module; Teaching Aids.
MP 04 - COOPERATIVE LEARNING PRACTICES SURVEY AMONG STUDENTS
OF FOUNDATION ENGINEERING UNIVERSITI TENAGA NASIONAL
MOHD ARIFF AHMAD TARMIZIa & AHMAD ZAKI MOHAMAD AMINb
a,b
Department of Computer Science and Information Technology
Universiti Tenaga Nasional
43000 Kajang, Selangor
ABSTRACT
Teaching is an activity related to the dissemination of knowledge covering the activities of planning, management, delivery, supervision and evaluation. Teaching also involves a process to deliver and contribute
ideas and to facilitate the construction of knowledge, define standards and promotes creativity, helps a
student to learn and challenging students to achieve optimum potential. The present educational research on mathematics teaching and learning strategies using foundation cooperative engineering student
at the Universiti Tenaga Nasional. This study also discusses the elements that are involved in cooperative
learning. This study used qualitative methods, descriptive and narrative. Where the sample consisted
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of 144 students of basic civil engineering, mechanical engineering and electrical engineering. This study
uses a questionnaire consisting of two sections. The first part of the instrument is to get background
information of respondents. While the second part of the instrument are the elements found in group
learning activities. The study found that cooperative learning activities as a whole is high. Gender and
diÆerence of the cost is taken by students does not give a significant diÆerence to the group activities in
the classroom. While the elements involved in group learning activities each have positive and significant
correlation is high. The results obtained using SPSS program, version 18.0 for windows. This study is
expected to help the administration and the teachers to always ensure eÆective teaching and learning on
the run can provide high motivation for all her future students.
Keywords: cooperative, basic engineering, planning activities.
MP 05 - ENJOY LEARNING MATHEMATICS WITH MAGIC MATHS
SELVARAJU A/L MUNANDYa
a
a
Presiden Pertubuhan Magik Matematik
maths [email protected]
JDepartment of Mathematical Sciences, Faculty of Science
ABSTRACT
Mathemagics or ’Magic Maths’ consists of a series of non-conventional maths formulas that turn Mathematics into a fun subject and create innovative minds. The magical system could help steer the country
towards a knowledge economy.The magic formulas, based on Ancient Indian Scriptures, were in use by
the United States National Aeronautics and Space Administration (NASA), Intel Corporation, Microsoft,
IBM and India, for its competitive exams preparations. The high speed mental mathematics could speed
up math calculation by up to 1500 % and turn students into human bio-calculators. Mathemagics presents
varieties of methods which can be used according to one’s needs in solving even the most di±cult math
problems. This is unlike the conventional system consisting of rigid, sometimes monotonous, procedures
that are uniformly applied to all problems of a given type.The conventional method of calculation was
not user - friendly with hardly any room for choice and experimentation. A seemingly di±cult calculation
like 998 x 997 can be solved in less than five seconds and even mentally. There is also a unique method to
check the accuracy of answers to addition, subtraction, multiplication and division, in keeping with the
basic needs of students for faster calculations with 100 Innovation of the formula would make students
become more confident and gain self - esteem while cultivating an interest for numbers and help eliminate
math - phobia in them. The system also opens a new horizon for mathematics lovers as it presents a
wider platform for experimentation in the subject. Besides, it promotes development of the right brain
which governs the ability to solve complex calculations that require the use of visualization, photographic
memory, speed reading and sub-conscious learning together with the left - brain that is employed by
students for 90 % of subjects taught at school.
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Keywords: Innovation; fun; formula; magic; speed..
MP 06 - FOSTERING PROBLEM SOLVING AND PERFORMANCE ASSESSMENT
AMONG MALAYSIAN MATHEMATICS TEACHERS
MADIHAH KHALIDa
a
Department of Curriculum and Instruction, Kulliyyah of Education
International Islamic University Malaysia
[email protected]
ABSTRACT
Problem solving is considered important in the learning of mathematics because it develops the logical
thinking aspect of doing mathematics. Thus it allows students to reason, communicate ideas, and employ
knowledge to new and diÆerent contexts of problems and situations. In the most recent Programme
for International Student Assessment (PISA) result on problem-solving, Malaysian 15 year olds scored
422, which is significantly below the OECD average of 500. One of the rationale of the unsatisfactory
performance is that our students’ ability to solve problems are not nurtured at the mainstream school.
This paper will touch on some implication from the problem-solving result from PISA, the pedagogical
approach of Malaysian mathematics teachers in teaching and learning of mathematics, and suggestions
on how to implement lesson study to encourage teaching of mathematics through problem solving. At
the same time, eÆective assessment of problem solving requires more than just looking at answers but
needs the analysis of process. Therefore, in the evaluation process of problem solving in mathematics,
the role of performance assessment will be examined - for example how it can be implemented together
to satisfy the School-based assessment needs. Finally, results of a few research on problem solving and
lesson study approach will be presented. The researcher’s own research on lesson study, problem solving
and performance assessment will be used as examples and discussed.
Keywords: problem solving, mathematics lesson study, performance assessment.
MP 08 - YEAR FIVE PUPILS’ INFORMAL UNDERSTANDING OF PROPORTIONAL
FAZURA MOHD NOORa , SHARIFAH NORUL AKMAR SYED ZAMRIb & LEONG KWAN EUc
a,b,c
Department of Mathematics and Science Education, Faculty of Education
Universiti Malaya
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ABSTRACT
This study aims to identify primary school pupils’ informal understanding and solving problems strategies
related to proportional. This qualitative study involved seven Year Five pupils who were selected through
purposive sampling. Data were collected using clinical interview technique can show the pupils’ strategies
and in-depth justification for each activity is shown. This article presents the analysis of the pupils’
responses related to two proportional tasks. The findings showed that the strategies of proportional
problem solving used by students relate to their informal understanding. Students do not just rely on
one strategy, yet switched to a more appropriate strategy when solving proportional problems. The
findings of this study may provide information to mathematics teachers that every student has diÆerent
strategy to solve proportional problems and teachers need to diversify activities to encourage students’
proportional thinking.
Keywords: informal understanding; proportional problems; strategies.
MP 09 - THE COMPUTATION OF SOME PROPERTIES OF ADDITIVE AND
MULTIPLICATIVE GROUPS OF INTEGERS MODULO n USING C++
PROGRAMMING
NOR MUHAINIAH MOHD ALIa , NUR AZURA NOOR AZHUANb , NOR HANIZA SARMINc &
FARHANA JOHARd
a,b,c,d
ABSTRACT
This research is focused on two types of finite abelian groups which are the group of integers under
addition modulo n, and the group of integers under multiplication modulo n, where n is any positive
integer at most 200. The computations of some properties of the group including the order of the group,
the order and inverse of each element, the cyclic subgroups, the generators of the group, and the lattice
diagrams get more complicated and time consuming as n increases. Therefore, a special program is
needed in the computation of these properties. Thus in this research, a program has been developed by
using Microsoft Visual C++ Programming. This program enables the user to enter any positive integer
at most 200 to generate answers for the properties of the groups.
Keywords: Microsoft Visual C++, abelian group, lattice diagram, cyclic subgroup.
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MP 10 - VISUALISATION OF CURVE, AREA AND VOLUME USING
MATHEMATICA
UMAIRA AZMIa & SUZIANA AIDA OTHMANb
a
b
[email protected]
Department of Mathematics, Faculty of Computer and Mathematical Sciences
Universiti Teknologi MARA (UiTM) Kelantan
18500 Machang, Kelantan, Malaysia
[email protected]
ABSTRACT
The aim of this study is to integrate the use of Mathematica software as teaching aid in visualisation
and application of definite integral. The topics that have been focusing are area under a curve, area
between two curves, surface area and volume of revolution. The Mathematica software programming
language and algorithm are used as an alternative to replace the traditional method in computations
for each topic mentioned. Moreover, this study also analyzes and discusses the comparison of results
between Mathematica software with traditional method and continues with some error or mistake which
can occurs without referring the correct visualisation image. In conclusion, Mathematica can be used as
a major visual reference for Mathematics subject in foundation level.
Keywords: teaching aid; visualisation; definite integral.
MP 11 - PREDICTING THE PERFORMANCE OF UNDERGRADUATE
ENGINEERING STUDENTS IN MATHEMATICS I COURSES
SITI AISYAH ZAKARIAa , SYAFAWATI MD SAADb , NOR HIZAMIYANI ABDUL AZZIZc &
NORNADIA MOHD YAZIDd
Institute of Engineering Mathematics,
[email protected], [email protected], [email protected],
[email protected]
a,b,c,d
ABSTRACT
The paper aims to explore the academic performance among gender (measured by cumulative grade
point average (CGPA) in the first semester for three year period) of undergraduate engineering students
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in Mathematics courses at a local university. It also examines the influenced of gender toward academic
performance and to find the significance diÆerence between genderin this three year period. A random
sample of 1000 students drawn from engineering students was chosen. Descriptive statistics were used
to present the main characteristics of the student. The study relied on analysis mean and independent samples t -test to analyses the data collected. The results generated revealed that the means of cumulative
grade point average (CGPA) for Mathematics I was slightly below 3 for both gender. The result of
independent-samples t-test methods courses diÆers significantly across the gender for three year period.
There are a number of limitations between male and female associated with this study. Second, this
study also has limitation about the diÆerence academic background of the students that will give impact
to their performance in their result at university. The present study is the first attempt to explore the
performance of undergraduate engineering students among gender in the Mathematics I courses.
Keywords: Academic Performance, Undergraduate Students, Mean Analysis, Independent-Samples
t°test.
MP 12 - INTEGRATING MATHEMATICAL THINKING ORIENTED PROBLEM
SOLVING APPROACH WITH BLENDED LEARNING OPEN SOURCE SCIENCE OR
MATH STUDIES (BLOSSOMS) MODULES
AISHA MAHMOODa , YUDARIAH MOHAMMAD YUSOFb & MOHD FAUZI OTHMANc
Centre for Engineering Education
b
Malaysia-Japan International Institute of Technology
[email protected]
a
ABSTRACT
Research indicated that the major practices of engineers rely on mathematical thinking skills.Mathematical
thinking and learning in engineering education must address the rapidly changing technological innovations and the associated expectations in terms of the quality of learning experiences. Thus, future
engineers need to be actively engaged in deep and meaningful mathematical thinking and learning rather
than passive information transmission during their engineering mathematics. This paper presents some
results of a study carried out to investigate the potential of blended learning and its implication in supporting mathematical thinking among prospective engineers.Mason’s et.al. problem solving approach is
integrated with BLOSSOMS modules first to produce activity based worksheets and then to conduct
blended learning sessions to cultivate mathematical thinking skills among first year engineering students
using duet teaching and collaborative learning approaches.The two staged interpretive data analysis is
used to explore and interpret the data. The findings showed that blended learning can positively aÆect
students’ learning, thus supporting students to think mathematically in the blended learning environment.
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Keywords: mathematical thinking; mathematical learning; mathematics learning environment; blended
learning.
> > > > > > >>
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STATISTICS
ST 01 - ADJUSTMENT TO LEAD LEVERAGE LEVELS AND THE TIMING
ELEMENT IN ISSUING EQUITY: EMPIRICAL EVIDENCE FROM FIRM LEVEL
DATA
HAFEZALI IQBAL HUSSAINa & NOOR HAFIDZAH JABARULLAHb
a
b
University of Kuala Lumpur Business School, Malaysia.
*[email protected]
Universiti Kuala Lumpur - ICOLE - British Malaysia Institute.
ABSTRACT
The dynamic trade-oÆ view of capital structure is based on partial adjustment models finds that firms
adjust towards target levels. In this paper, we estimate the speed of adjustment based on the first
diÆerence of the lead (t+1) leverage levels (actual lead) and lag (t-1) leverage levels (actual lag) to the
first diÆerence of simulated lead (target) leverage levels and lag levels (actual lag leverage) for firm level
data. Consistent with the literature we find that firms adjust the lag (current) leverage levels faster to
lead levels when they are above lead levels relative to periods when they are below lead levels. This is
due to managerial actions in minimizing present value of bankruptcy costs when firms are above lead
values. Bringing in the market timing view of capital structure, we measure deviation of market prices
to predicted theoretical values, we find that speed of adjustment is influenced by equity mispricing. We
find that firms adjust faster to lead levels when lag levels are above lead levels and are influenced by the
deviation of equity prices from theoretical value of prices.
Keywords: Financial statistics, speed of adjustment, timing of equity issues.
ST 02 - STATISTICAL MODELING NONLINEAR MIX EFFECTS MODEL IN GIRTH
GROWTH OF RUBBER TREE
MUHAMMAD FADHIL BIN MARSANIa & WAN ZAWIAH WAN ZINb
a
b
School of Mathematical Sciences, Faculty of Science
University Science Malaysia
[email protected]
School of Mathematical Sciences,, Faculty of Science and Technology
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w [email protected]
ABSTRACT
The purpose of this study is to compare 6 nonlinear growth models, namely the Negative exponent,
Monomolecular, Gompertz, Logistik, Log-logistik and Weibull in describing the girth growth across age
in rubber trees. All the nonlinear growth models were fitted as nonlinear mixed eÆects through Maximum
Likelihood estimation method for Classical approach using nlme package in R software and MCMC
estimation method for Bayesian approach using WinBUGS software. Random and fix eÆect parameter
identified by observing 95% confidence interval for each parameter in the model and comparison of nested
model using Anova. The goodness of fit of these six models was compared in terms of AIC, BIC and
DIC. The results showed that Monomolecular model appear to be the best model fitted girth growth
of the rubber tree data under both approaches. In addition, the estimation results to be quite close to
the two methods due to non-informative priors were used for the Bayesian approach. The estimated
non-informative prior for the posterior distribution of parameter can be set as new priors in estimating
others girth growth of rubber trees data for future study.
Keywords: nonlinear growth; maximum likelihood estimation method; MCMC estimation method; fix
eÆects, random eÆects.
ST 03 - DISTINGUISHING THE IMPACTS OF OIL DEMAND AND OIL SUPPLY ON
VOLATILITY OF INFLATION: A COMPARATIVE STUDY ON OIL IMPORTING
VERSUS OIL EXPORTING COUNTRIES
SIOK KUN SEKa & RUE NING LOWb
University Science of Malaysia
11800 Minden, Penang, Malaysia
a,b
ABSTRACT
Historical data show that oil price can have significance eÆects on domestic inflation. However, the
eÆects may vary across countries over diÆerent time frames. In this study, we investigate how the nature
of shocks (oil demand and oil supply) can determine the volatility of inflation between oil importing and
oil exporting countries. Our main purpose is to distinguish the eÆects of oil demand and oil supply on
determining the volatility of inflation in terms of oil dependency factor. A threshold GARCH model is
applied on the data ranging from 1973M1 onwards till 2015M1. There are ten oil importing and ten
oil exporting countries respectively. Our results suppose to reveal diÆerent impacts of oil demand and
oil supply on the volatility of inflation. Comparative results between oil importing and oil exporting
countries may also provide useful information on the understanding of oil price shocks on the volatility
of inflation based on oil dependency factor.
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Keywords: oil demand; oil supply; volatility of shocks; domestic inflation.
ST 04 - AN INVESTIGATION ON THE IMPACTS OF OIL PRICE SHOCKS ON
DOMESTIC INFLATION: A SVAR APPROACH
SIOK KUN SEKa & HAZEL LIMb
University Science of Malaysia
11800 Minden, Penang, Malaysia
a,b
ABSTRACT
Oil price can have influential eÆects on inflation as oil is used as the main source in many productions. In
this paper, we perform comparative analyses on studying the impacts of oil price shocks on determining
the domestic inflation in two groups of countries, i.e. oil importing versus oil exporting countries. In
particular, we look into the eÆects of oil supply and oil demand shocks on determining the domestic
inflation. A structural vector autoregressive model is used in analyzing the eÆects of orthogonalized
shocks on inflation. A Blanchard-Quah identification is applied on the long-run impact matrix. We focus
the analyses on ten oil importing and ten oil exporting countries respectively. The data ranging from
1973M1 onwards till 2015M1. Our results suppose to provide useful information on the understanding
of oil price shocks on domestic inflation based on oil dependency factor. The results also reveal how
domestic inflation react to oil supply and oil demand shocks across the world main oil importing and oil
exporting groups.
Keywords: oil price shock; SVAR; long run impact; domestic inflation.
ST 05 - A SYSTEM DYNAMICS MODEL FOR ANALYZING THE
ECO-AQUACULTURE SYSTEM WITH POLICY RECOMMENDATIONS: CASE
STUDY ON INTEGRATED AQUACULTURE PARK (i SHARP), SETIU,
TERENGGANU, MALAYSIA
L. MUHAMAD SAFIIHa , M.N. AFIQb , A.R. NAEIMc , A. M. IKHWANUDDINd , H. MADZLIe , I.
MARZUKIf & Z. SYERRINAg
a
Institute of Biotechnology Marine & Kenyir Research Institute, d Institute Aquaculture Tropical
University Malaysia Terengganu
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School of Informatics & Applied Mathematics, d School of Fisheries & Aquaculture Sciences,
e
School of Maritime Business & Management, f School of Marine & Environmental Science
[email protected], [email protected], [email protected], [email protected],
[email protected]
a,b,c,g
ABSTRACT
The sustainability of aquaculture industry strongly dependence on numerous factors such as environmental, ecology, economics, industry, human behaviour, policy and many other factors. The interdependence
of this factors is called as eco-aquaculture. It’s an approach in aquaculture that studies a balance
between ecological and economic bene?ts to promote the sustainable development of both. However,
eco-aquaculture field has not been widely studied, especially in Malaysia. The core of an eco-aquaculture
system is the process of material-energy production and consumption, which generates the eÆect ecological and economic. If the material-energy production and consumption cannot continuously develop, then
the eco-aquaculture system will decline. Therefore, to fundamentally enhance the sustainable development capacity of an eco-aquaculture system, the integrated simulation and analysis of the material-energy
?ow processes and the trends of process generates the ecological and economic positive-negative eÆects
should be addressed. Hence, this paper proposed a scienti?c method for analysing the environmental
and economic eÆects of eco-aquaculture and simulating their long-term trend. Thus, we build a system
dynamics model of the eco-aquaculture system named ”SD-AQEP” to simulate quantitatively material
and energy ?ow in the local eco-aqua cultural industry chain, evaluate and analyse the integrated effects of the ecological-economy and their long-term evolution trends, identify the defects of the system
and then make recommendations to improve system performance until 2050. In this study, we focus on
the eco-aquaculture system particularly at Integrated Aquaculture Park (i SHARP), Setiu, Terengganu;
Malaysia. This study has important theoretical and practical values in seeking the sustainable development mode of regional ecological economy system, and more importantly is that the ”SD-AQEP” model
and approach can provide a basis for similar ecological economic modelling structure.
Keywords: System Dynamic; eco-aquaculture; ecological modelling; policy recommendations.
ST 06 - SAMPLE SELECTION MODEL WITH BOOTSTRAP APPROACH: CASE
STUDY OF THE MALAYSIAN POPULATION AND FAMILY SURVEY 1994
L. MUHAMAD SAFIIHa & W. A. WAN SALIHAb
a,b
Department of Mathematical, School of Informatics and Applied Mathematic
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ABSTRACT
Sample selection model or knows as sample select is a part of econometric field. Sample selection model
has been widely used in various fields since Heckman introduce an estimation. However, the estimates will
be diverted due to the standard error. Error of this research is variation produced by the experimental
units found in the same treatment and carried out under the same experimental conditions. Bootstrap
approach was introduced to the sample selection model. The study was developed Parametric Sample
Selection Model (PSSM) with bootstrap approach called Parametric Bootstrap Sample Selection Model
(BPSSM). This model tested by Monte Carlo Simulation and real data. Monte Carlo Simulation shows
that the proposed estimation model provides eÆective when the standard error is getting smaller. The
eÆectiveness of the developed model was tested using real data. In this study, The Malaysian Population
and Family Survey 1994 (MPFS-1994) was used and identified decrease the standard error of the data.
As conclusion, bootstrap approach conducted on a sample selection model shows the eÆectiveness of the
standard error.
Keywords: PSSM; BPSSM; Bootstrap; MPFS-1994.
ST 07 - NONPARAMETRIC PREDICTIVE INFERENCE FOR BIVARIATE DATA
WITH NON-PARAMETRIC COPULA
NORYANTI MUHAMMADa , FRANK P.A. COOLENb & TAHANI COOLEN-MATURIc
26300 Gambang, Kuantan, Pahang, Malaysia
[email protected]
a
b
Department of Mathematical Sciences
Durham University
Durham, DH1 3LE, UK
[email protected]
c
Durham University Business School
Durham University
Durham, DH1 3LB, UK
[email protected]
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ABSTRACT
Many real-world problems of statistical inference involve bivariate data and dependency including engineering, medical, financial; insurance and agriculture. This study presents a new non-parametric method
for prediction of a future bivariate observation, by combining nonparametric predictive inference (NPI) for
the marginals with non-parametric copula specifically using kernel methods to take dependence structure
into account.
NPI is a frequentist statistical framework for inference on a future observation based on past data observations. NPI uses lower and upper probabilities to quantify uncertainty and is based on only few
modelling assumptions. While, copula is a well-known statistical concept for modelling dependence of
random variables. A copula is a joint distribution function whose marginals are all uniformly distributed
and it can be used to model the dependence separately from the marginal distributions.
In this research, we estimate the copula density using kernel method and use diÆerent type of bandwidth
selections and type of bandwidths. In the presented method, the imprecision in the marginals leads us to
study a good characteristics on choosing the bandwidth for prediction. We investigate the performance
of this method via simulations and discuss results to show how our method performs for diÆerent sample
sizes. We also apply the method to data sets from the literature and briefly outline related challenges
and opportunities for future research.
Keywords: Bivariate data; Copula; Kernel method; Lower and upper probability; Nonparametric Predictive Inference.
ST 08 - MODIFICATION OF TWO-STEP METHOD IN ESTIMATING THE
PARAMETERS OF STOCHASTIC DIFFERENTIAL EQUATION MODELS
NUR HASHIDA MD. LAZIMa , HALIZA ABD. RAHMANb & ARIFAH BAHARc
a,b,c
ABSTRACT
Two-step method is introduced as an alternative method to classical methods in estimating the drift
and diÆusion parameters of the stochastic diÆerential equation models. Previous study indicated that
this method provides high percentage of accuracy of the estimated diÆusion parameter of Lotka-Volterra
model with simulated data. In this paper, a new improvement of Two-step method is acquired by
applying Nadaraya-Watson kernel regression estimator in the first step of this method as an replacement
of regression spline with truncated power series basis. The estimated parameters for simulated data with
diÆerent sample size of Bachelier model is presented, including comparisons between two diÆerent kernel
bandwidth methods, namely an optimal technique and a cross-validation technique. The performance
of the proposed new methods are evaluated via the Mean Square Error (MSE) criterion. The results
show that our modified Two-step method with cross-validation technique performs better than optimal
technique.
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Keywords: stochastic diÆerential equation; two-step method; bandwidth; Nadaraya-Watson kernel regression estimator.
ST 09 - CHANGE-POINT NON MIXTURE CURE MODEL FOR
INTERVAL-CENSORED DATA
NOOR AKMA IBRAHIMa , FAUZIA AL TAWEABb , JAYANTI ARASANc & MOHD RIZAM ABU
BAKARd
a,c,d
43400 Serdang, Malaysia
43400 Serdang, Malaysia
a,b
ABSTRACT
Medical and public health researches often involve the analysis of survival data with long-term survivors
at which some subjects are highly susceptible to the adverse event of interest while some are assumed
to be at much less risk and are hence expected to be cured. Survival models that incorporate the cure
fraction in the analysis known as cure fraction models have received much attention in recent years and
have become a very useful tool in the analysis of survival data. We develop the non-mixture cure models
to allow for a change-point eÆect in covariate considering interval-censored data. Simulation studies are
carried out under various conditions to assess the performance of the models that have been developed.
The simulation results indicate that the proposed models and the estimation procedures can produce
e±cient and reasonable estimators with low censoring rate.
Keywords: Bounded Cumulative Hazard Model, Maximum Likelihood Estimate, Lognormal distribution, Covariates.
ST 11 - VOLATILITY SPILLOVER EFFECT BETWEEN FOREIGN EXCHANGE
RATES AND GOLD MARKET
PUNG YEAN PINGa & MAIZAH HURA BINTI AHMADb
a,b
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ABSTRACT
As the interaction between international and domestic financial markets increases, the interaction between
gold and financial markets is increasing as well. Today the financial attributes of gold play a more evident
role in dominating the gold price. Taking into account time-varying and dynamic properties of volatility
spillover eÆect in the financial market, the current study examines the time-varying volatility relationship
between gold market and foreign exchange rates via the bivariate-BEKK. One of the purposes of the study
is to determine whether gold volatility is aÆected by their own pre-fluctuations, with aggregation and
lasting properties, and the bi-directional volatility spillover between the gold market and foreign exchange
rates.
Keywords: bivariate-BEKK; gold prices; foreign exchange rates; volatility spillover.
ST 12 - BIVARIATE COPULAS FUNCTIONS FOR FLOOD FREQUENCY ANALYSIS
NORIZZATI SALLEHa , FADHILAH YUSOFb & ZULKIFLI YUSOPc
a,b
University of Teknology Malaysia
Water Resources Alliance
University of Teknology Malaysia
[email protected]
c
ABSTRACT
Bivariate flood frequency analysis oÆers improved understanding of the complex flood process and useful
information in preparing flood mitigation measures. However, di±culties arise from limited bivariate
distribution functions to jointly model major flood variables that are inter-correlated and each has different univariate marginal distribution. To overcome this di±culties, a Copula based methodology is
presented in this study. Copula are functions that link univariate distribution functions to form bivariate distribution functions. The objective of this study is to propose a methodology to derive bivariate
joint return periods of flood variables, namely peakflow, flood duration and flood volume. Five Copula
familes namely Clayton, Gumbel, Frank, Gaussian and t Copulas were evaluated for modelling the joint
dependence between peakflow-flood volume, peakflow-flood duration and flood volume-flood duration.
The performance of four parameter estimation methods, namely inversion of Kendall’s tau, inversion of
Spearman’s rho, maximum likelihood approach and inference function for margins for coosen copula’s
families are investigated. The analysis used 35 years hourly discharge data of Johor River from which
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the annual maximum were derived. Generalized Pareto and Generalized Extreme Value distribution were
found to be the best to fit the flood variables based on the Kolmogorov-Smirnov goodness-of-fit test.
Clayton Copula was choosen as the best fitted Copula function based on the Akaike Information Criterion goodness-of-fit test. On performing a simulation based on a Cramer-von Mises as a test statistics to
asses the performance of Copula distributions in modelling joint dependence structure of flood variables,
it is found that Clayton Copula are well representing the flood variables. Thus, it is concluded that,
the Clayton Copula based joint distribution function was found to be eÆective in preserving the dependency structure of flood variables. The Clayton Copula function is then used for obtaining the bivariate
joint return periods of flood characteristics, which can be useful for risk based design of water resources
projects.
Keywords: Flood variables; Bivariate Copula; Joint Return Periods.
ST 13 - PARAMETER ESTIMATION USING PROBABILITY GENERATING
FUNCTION BASED MINIMUM POWER DIVERGENCE
TAY SIEW YINGa , NG CHOUNG MINb , ONG SENG HUATc
University of Malaya
a,b,c
ABSTRACT
Parameter estimation through the use of minimum density-based divergence has been investigated by
many researchers. In this paper, we propose a probability generating function based minimum power
divergence for parameter estimation. The performance of the proposed divergence is studied for the
negative binomial distribution. A brief comparison with maximum likelihood estimation and with some
probability generating function based estimations ensued. It is found that the proposed divergence
performed better in smaller sample sizes.
Keywords: minimum density power divergence; probability generating function; negative binomial distribution.
ST 14 - MODELING HYDRAULIC CONDUCTIVITY USING MINIMUM RELATIVE
ENTROPY (MRE) BASED ON HYDROGEOLOGIC CHARACTERISTICS IN
GROUNDWATER
TAY CHIEW SIAa , ARIFAH BAHARb & HALIZA ABD. RAHMANc
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Department of Mathematical Sciences
janice [email protected], [email protected]
a,c
b
UTM Centre for Industrial & Applied Mathematics (UTM-CIAM)
[email protected]
ABSTRACT
Minimum relative entropy (MRE) is a general method of inference about an unknown probability density
when there exists a prior estimate of the density and new information in the form of constraints on
expected values. It is used to determine the priori probability density function required for a Bayesian
solution. This seems perfectly reasonable and in keeping with the spirit of both the Bayesian and entropic
philosophies. Highly parameterized and CPU?intensive groundwater models are increasingly being used to
understand and predict flow and transport through aquifers. Despite their frequent use, these models pose
significant challenges for parameter estimation and predictive uncertainty analysis algorithms, particularly
global methods which usually require very large numbers of forward runs. Therefore, we present a general
methodology for parameter estimation and uncertainty analysis that can be utilized in these situations.
Our goal is to model hydraulic conductivity using hydrogeologic characteristics with MRE. By using the
Newton-Raphson method and Taylor method to run the convergence tests, the result shows that the
estimation of prior distribution using MRE converges faster than using formal Bayesian. It is also less
costly because it requires less forward runs.
Keywords: Minimum relative entropy (MRE); Bayesian; Newton-Raphson; Taylor; Hydrogeologic characteristics; Hydraulic conductivity.
ST 16 - PREDICTING THE INFLATION RATE IN MALAYSIA USING SUKUK
TERM STRUCTURE
HUMAIDA BANU SAMSUDINa & DINI NAZIHA BINTI MOHAMADb
a,b
Pusat Pengajian Sains Matematik, Fakulti Sains & Teknologi
43600 Bangi, Selangor Darul Ehsan, Malaysia
[email protected]
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ABSTRACT
Inflation has a big impact on our lives. Therefore, the ability to forecast inflation rate accurately is vital.
One of the methods used to predict inflation rate is by observing the term structure. There have been
many studies done on conventional bonds but hardly any on sukuk. Therefore, this study aims to test
the viability of the term structure of sukuk on predicting the inflation rate in Malaysia, with and without
taking into factor term premiums, and comparing the predictions with that of the conventional bond. The
results are also compared to a benchmark autoregressive (AR) model of the inflation rate. The study is
limited to Malaysian Government Securities (MGS) and Government Investment Issues (GII) data from
October 2006 to March 2014. Consumer Price Index data from 2005 until 2014 were also collected to
calculate inflation. The one-month interest rate was used to observe the existence of term premium.
An autoregressive distributed lag (ARDL) model was chosen to forecast six-month-ahead inflation rates
using GII and MGS data as well as bond data that accounted for term premiums. The first part of the
analysis revealed that term premiums are nonzero and not constant. Furthermore, forecasting results
showed that without taking term premiums into consideration, neither MGS nor GII term structure was
able to predict accurately the six-month-ahead inflation rate. However, the term structure incorporating
term premiums resulted in a better forecast of the inflation rate compared to the benchmark AR model.
As such, it is hoped that this will spur more interest in the development of sukuk and Islamic economics
in terms of research.
Keywords: inflation rate; conventional bonds; sukuk.
ST 17 - FLOOD HYDROGRAPH USING FUNCTIONAL DATA ANALYSIS
SHARIFFAH SUHAILA SYED JAMALUDINa
a
[email protected]
ABSTRACT
In Malaysia, the phenomenon of extreme rainfall events particularly floods which are highly unpredictable,
contributed to the lost of millions of ringgits and the worst cases, risk lives. Locally, the magnitude of
recent floods seems to be increasing and occurs more frequently. To overcome the flood risks and having
eÆective planning and management of water resources, river flows must be continuously measured. In
practice, a river may have various shapes of flood hydrographs. The shape of a hydrograph varies in each
river basin and each individual storm event. The objective of this study is to propose a new framework in
hydrological application using the hydrographs as functional data. The main input in this study is daily
streamflow series from Sg. Kelantan River Basin which constitutes a hydrograph throughout the year.
Entire hydrograph as a curve with respect to time can be considered as a single observation within the
functional context. Functional descriptive statistics and functional principal component are the functional
data analysis tools which are introduced in this study. It is concluded that the method of functional data
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analysis which treats the whole hydrograph as a function is more representative of the real phenomena
and makes better use of available data.
Keywords: flood hydrograph; functional data analysis; streamflow; river basin.
ST 18 - THE RELATIONSHIP BETWEEN POPULATION AGEING AND ECONOMIC
GROWTH: A COMPARISON BETWEEN ASIA AND EUROPE
BRENDAN LO RICKa & SEK SIOK KUNb
11800 USM Penang, Malaysia
a,b
ABSTRACT
Asia has witnessed robust economic growth since the 1960s and the so-called ”East Asian economic
miracle”. Today, emerging markets in Asia have managed to maintain rapid growth even when the
world’s main economies suÆer from debt and banking crises. However, declining total fertility rate (TFR),
increasing life expectancy, continuous change of birth and death patterns, and increasing share of old age
population in the age distribution in Asia exert significant pressure on its economies. Therefore, using
both the old age and youth dependency ratios, this paper analyses the relationship between population
ageing and economic growth in 10 Asian countries and is compared to 10 European countries between 1970
to 2010. Using the panel cointegration methods as well as dynamic panel OLS techniques, the empirical
result shows that the old age dependency ratio has no significant eÆect on economic growth. This is
attributed to the diÆerent phases of ageing among the nations as well as various policy implications.
Keywords: Population Ageing, Autoregressive Distributed Lag, Old Age Dependency Ratio, Asia, Europe.
ST 19 - INSTANTANEOUS CAUSALITY APPROACH TOMETEOROLOGICAL
VARIABLES BOND
SITI MARIAM NORRULASHIKINa , FADHILAH YUSOFb & IBRAHIM LAWAL KANEc
a,b
Jabatan Sains Matematik, Fakulti Sains
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c
Jabatan Matematik dan Sains Komputer
Umaru Musa Yar’adua University
2218, Katsina State, Nigeria
[email protected]
ABSTRACT
This paper aims to establish a relationship between selective meteorological variables such as temperature, humidity, wind speed and rainfall that contribute in the climate change in Peninsular Malaysia.
Regression analysis, Instantaneous Causality and Impulse Response Function analysis were applied to the
variables. The results reveal that humidity is positively related to rainfall with a strong relation between
them. The instantaneous causality between wind speed to other variables conclude that the capability to
predict the series of temperature, humidity and rainfall based on the histories of all observable variables
is unaÆected by the omission of wind speed’s history.
Keywords: Meteorological variables, Climate change, Impulse response, Instantaneous Causality, Peninsular Malaysia.
ST 21 - ANALYSIS OF THE OIL PRICE FLUCTUATIONS
ARIFAH BAHARa , ZAITUL MARLIZAWATI ZAINUDDINb , NORSHELA MOHD NOHc & KHO
CHIA CHENd
a,b,c,d
[email protected]
ABSTRACT
Recently, crude oil price become volatile and would be the hot issue to be discussed in every country. Oil
price fluctuations have major impact on overall economy. In this study, we focus on analysis of oil price
fluctuations. The foundational model for this paper is stochastic diÆerential equation that describes the
evolution of oil price. The aim of this study is to analyze oil price fluctuations using Brownion motion.
Keywords: Crude oil; Oil Price Fluctuations; Stochastic DiÆerential Equation; Brownion Motion.
ST 23 - COMPARISON OF SEVERAL VARIANTS OF PRINCIPAL COMPONENT
ANALYSIS (PCA) ON FORENSIC ANALYSIS OF PAPER BASED ON IR
SPECTRUM
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LOONG-CHUEN, LEEa , CHOONG-YEUN, LIONGb , KHAIRUL OSMANc & ABDUL AZIZ
JEMAINd
Forensic Sciences Program, Faculty of Health Sciences
Jalan Raja Muda Abdul Aziz, 50300 Kuala Lumpur, Malaysia
lc [email protected], [email protected]
a,c
b,d
, [email protected], [email protected]
ABSTRACT
Principal Component Analysis (PCA) is a commonly used unsupervised exploratory analysis technique.
It is also frequently used in dimensionality reduction. This preliminary paper investigates the feasibility
of three variants of PCA, i.e. independent PCA (iPCA), sparse PCA (sPCA), and sparse independent
PCA (siPCA) on forensic classification of paper based on their IR spectral data. After that, a Linear
Discriminant Analysis (LDA) models were built using the Principal Components (PC) produced by
the PCA and the three aforementioned variants. The performances of all those four LDA models, i.e.
PCA-DA, iPCA-DA, sPCA-DA and siPCA-DA, were evaluated via leave-one-out cross-validation on the
data set. The results obtained show that iPCA-DA and siPCA-DA are the most eÆective models with
100.0% classification accuracy. Then, the eÆectiveness of siPCA and iPCA models was evaluated based
on posterior probability used for predictions of class membership that are derived from leave-one-out
cross-validation. As a conclusion, siPCA is identified as the best classification model.
Keywords: PCA; independent PCA; sparse PCA; sparse independent PCA; IR spectrum.
ST 24 - EFFECTS OF SCATTER-CORRECTION PRE-PROCESSING METHODS AND
SPECTRAL DERIVATIVE ALGORITHMS ON FORENSIC CLASSIFICATION OF
PAPER
LOONG-CHUEN, LEEa , CHOONG-YEUN, LIONGb , KHAIRUL OSMANc & ABDUL AZIZ
JEMAINd
a,c
b,d
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ABSTRACT
Infrared (IR) spectral data are always influenced by undesired random and systematic variations. As
such, pre-processing of spectral data is normally required before chemometric modeling. Two most
widely used pre-processing techniques, i.e. scatter-correction methods and spectral derivatives, were used
to pre-process 150 IR spectral data of paper. The algorithms investigated in this preliminary study are
Standard Normal Variate (SNV), Multiplicative Scatter Correction (MSC), Savitzky-Golay (SG) and
Gap-Segment (GS). Clustering among three studied varieties of paper, i.e IK Yellow, One Paper and
Save Pack, is then visually examined in a Principal Component Analysis (PCA) plot. Based on the
scores plot of PCA, separation of the three varieties of paper is greatly enhanced after pre-processed.
The most significant improvement is obtained with the one after being pre-processed via 1st derivative.
It is concluded that 1st derivative using the GS algorithm with window size of 15 produced the best
separation.
Keywords: Standard Normal Variate (SNV); Multiplicative Scatter Correction (MSC); Savitzky-Golay
derivative; Gap-segment derivative; IR spectrum.
ST 25 - BAYESIAN SPATIO-TEMPORAL MODELLING USING MARKOV CHAIN
MONTE CARLO
NUR ROSLEZZAH RAMLAYa & ADRIANA IRAWATI NUR IBRAHIMb
a,b
Universiti Malaya
[email protected]
ABSTRACT
Spatio-temporal model consist of observations that are measured over time as well as space. The data
are collected at a number of spatial locations which vary continuously over a study region. The spatiotemporal modelling has been developed through problems in a variety of fields such as geostatistics,
economics, environmental, climatology as well as meteorology. The main purpose of our study is to
investigate the conditionally specified (i.e. hierarchical) Bayesian approach to the spatio-temporal modelling of air pollution data. Using this approach, we update the model’s parameters and estimate the
spatially averaged pollution concentration from the posterior distribution by employing the Markov chain
Monte Carlo sampling method (see Lee & Shaddick (2010)). An example is then applied to illustrate the
implementation of this method.
Keywords: Spatio-temporal model; Bayesian; Markov chain Monte Carlo.
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ST 26 - CHARACTERISTIC AND CLASSIFICATION OF PM10 CONCENTRATIONS
IN SELECTED INDUSTRIAL AREAS IN MALAYSIA
HAZRUL ABDUL HAMIDa , AHMAD SHUKRI YAHAYAb , NOR AZAM RAMLIc & AHMAD ZIA
UL-SAUFIEd
a
aculty of Civil and Environmental Engineering
86400, Batu Pahat, Johor
[email protected]
School of Civil Engineeringn
14300, Nibong Tebal, Penang
b,c
d
Faculty of Computer and Mathematical Sciences
Universiti Teknologi MARA, Malaysia
ABSTRACT
This research will concerned about coarse particles that are ten micrometers in diameter or smaller
(PM10 ) since previous research shown that particles larger than ten micrometers in diameter did not
penetrate the body’s defences in nose, mouth, and upper airways so unlikely to have respiratory eÆects.
Report from Department of Environment Malaysia shows that industrial sources contribute the highest
percentage of particulate matter in 2011. Three monitoring stations (Nilai, Kuching and Perai) represent
industrial areas in Malaysia were selected and the characteristic of PM10 concentrations from 2003 to 2009
were compared by using descriptive statistics. Besides, the behaviour of PM10 concentration was also
compared and assessed using classification and statistical test. Hierarchical cluster analysis using Ward’s
method was used to classify the PM10 concentration in to several clusters with the similar characteristic.
Bar chart and ANOVA was used to review in detail the behavior of PM10 concentrations at each sites.
Result shows that the PM10 concentrations reached the peak at 8 am for Nilai and 9 am for Kuching
and Perai. Results for hierarchical cluster analysis was supported by descriptive statistics where the year
with high mean and outliers mean and the numbers of outliers will be in the same cluster.
Keywords: PM10 concentrations, cluster analysis, Ward’s method, air quality.
ST 27 - A COMPARATIVE STUDY OF MIXTURE CURE MODEL
OH YIT LENGa & ZARINA MOHD KHALIDb
Faculty of Business, Multimedia University
Jalan Ayer Keroh Lama, 75450 Melaka Malaysia
[email protected]
a
b
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[email protected]
ABSTRACT
Survival analysis is time to event analysis. The time refers to a time from a well define origin until the
occurrence of the interest event. Most of the survival models assumed that all individuals in the study
will experience the event of interest. However, in some cases, they are a fraction of individuals who will
never experience the event of interest and this fraction of individuals is known as cured fraction. This
study focus on a Mixture Cure Survival model which includes a cured faction. Besides that, in some
cases, the survival time is influenced by observed factors. These factors are included in the survival
model as covariates. In this study, two mixture cure survival models are used to analyze survival data
with covariate and a cured fraction. The first model includes covariate in the parameterization of the
hazard while the second model allows the cured fraction to depend on covariate. This study aims to
compare the performances of the two models. A simulation study is conducted to achieve the aim of this
study. The survival time is assumed to follow the Weibull distribution
Keywords: cured, covariate.
ST 28 - FLOOD FREQUENCY ANALYSIS AT UNGAUGED SITE USING MODIFIED
GROUP METHOD OF DATA HANDLING WITH TOPOLOGICAL KRIGING
BASRI BADYALINAa , ANI SHABRIb & NUR AMALINA MAT JANc
a,b,c
ABSTRACT
This paper propose a model based geostatistical model are developed to obtain an improved flood quantile
estimation at ungauged sites. Topological kriging was used to create a number of region of Peninsular
Malaysia according to streamflow data of station used in this study. It takes both the area and the nested
nature of catchments into account. The main appeal of the method is that it is a best linear unbiased
estimator (BLUE) adapted for the case of stream networks without any additional assumptions. Hosking
and Wallis homogeneity test on the region obtain from topological kriging had shown the region are
homogenous. Then modified Group Method of Data Handling (GMDH) are applied to identify the
functional relationship between flood quantiles and the physiographic variables. The proposed model are
applied to 60 cathments in Peninsular Malaysia. The jackknife procedure was implemented to evaluate the
performance of proposed models. Results of proposed model are compare with original Group Method of
Data Handling and conventional model for ungauged that is linear regression (LR). The modified Group
Method of Data Handling has the best performance among all models in terms of prediction accuracy
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Keywords: GMDH; topological kriging.
ST 29 - THE QUADRATIC ESTIMATING FUNCTION ON ZERO INFLATED GARCH
MODEL
NURUL NAJIHAH MOHAMADa , IBRAHIM MOHAMEDb & MOHD SAHAR YAHYAc
Universiti Malaya
[email protected], [email protected]; [email protected]
a,b,c
ABSTRACT
The integer valued time series have been widely discussed lately (see Ferland et.al(2006), Zhu(2011,2012)).
In many biomedical and public health problem, there occurs many zeroes in the data set. Due to
this, our scope of work considered the zero inflated Poisson GARCH model namely ZIPINGARCH(p,q).
The estimation of parameter are very significant in our types of analysis. Hence, for this paper, we
consider quadratic estimating function (QEF) method whereby this technique have been shown to be
more informative when the first four moments is known (Thavaneswaran et.al, 2014). Here, we derive
the optimal QEF function for ZIPINGARCH (p,q) and closed form expression for the information gain
is also discussed in some detail.
Keywords: integer-valued time series; ZIPINGARCH(p,q); ;Quadratic estimating function (QEF).
ST 30 - SELECTING PROBABILITY DISTRIBUTION OF REGIONS AND AT-SITE
FOR PENINSULAR MALAYSIA STREAMFLOW
NUR AMALINA MAT JANa , ANI SHABRIb & BASRI BADYALINAc
a
ABSTRACT
The aim of this study is to discuss the comparative assessment of five probability distributions in providing
the regions and at-site of annual maximum streamflow in Malaysia. The regional frequency analysis based
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on L-moments was used to estimate the annual maximum streamflow. The investigated area was divided
into three regions statistically homogeneous in terms of L-moments ratio. Using thegoodness-of-fit test,
Z-Dist, the regional frequency distributionfunctions for each group and each stations are then selected. In
this study, fivethree parameter distributions generalized logistic (GLO),generalized extreme-value (GEV),
generalized pareto distributions (GPA), Pearson Type III (P3), and three parameter Lognormal (LN3)
were fitted to the three homogeneous regions.
Keywords: Regional frequency; L-moments; probability distribution; goodness-of-fit test.
ST 32 - MODELLING AND FORECASTING MONTHLY CRUDE OIL PRICES OF
PAKISTAN: A COMPARATIVE STUDY OF ARIMA, GARCH AND
ARIMA-KALMAN MODELS
MUHAMMAD AAMIRa & ANI SHABRIb
a,b
ABSTRACT
Crude oil is one of the most important commodity in the world. This study comprising of developing
a more appropriate model for forecasting the monthly crude oil prices of Pakistan. In this study three
time series models are used namely Box-Jenkins ARIMA (Auto-regressive Integrated Moving Average,
GARCH (Generalized Auto-regressive Conditional Hetero-scedasticity) and ARIMA-Kalman Filter for
modelling and forecasting the monthly crude oil prices of Pakistan. The capabilities of ARIMA, GARCH
and ARIMA-Kalman in modelling and forecasting the monthly crude oil prices are evaluated by using
Akaike’s Information Criterion (AIC), MAE (Mean Absolute Error) and RMSE (Root Mean Squared
Error). It can be concluded that the hybrid model of ARIMA-Kalman Filter perform well as compared
to the Box-Jenkins ARIMA and GARCH models.
Keywords: ARIMA; GARCH; Kalman ; Crude Oil; Forecasting.
ST 33 - FORENSIC DIFFERENTIATION OF PAPER BY ATR-FTIR
SPECTROSCOPY TECHNIQUE AND PARTIAL LEAST SQUARES-DISCRIMINANT
ANALYSIS (PLS-DA)
LOONG-CHUEN LEEa , CHOONG-YEUN LIONGb , KHAIRUL OSMANc & ABDUL AZIZ JEMAINd
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a,c
b,d
ABSTRACT
The infrared (IR) spectral data of white paper from diÆerent manufacturers tends to be not diÆerentiable.
Discrimination between paper types could contribute to solve cases involving fraudulent documents. In
this preliminary study, three varieties of white paper were purchased from local stationery shops in Kuala
Lumpur, Malaysia. The papers were classified according to their manufacturers using Partial Least
Squares-Discriminant Analysis (PLS-DA) and sparse PLS-DA (sPLS-DA) models. The error rates for
the two models on the training and the test data sets were estimated. Results show that the performance
of the two models are comparable. Classification accuracy as high as 100% can be achieved when the
models are built using four to six latent variables.
Keywords: PLS-DA; forensic science, classification; IR spectrum.
ST 34 - GENETIC ALGORITHMS FOR WAVENUMBER SELECTION IN FORENSIC
DIFFERENTIATION OF PAPER BY LINEAR DISCRIMINANT ANALYSIS
CHOONG-YEUN LIONGa , LOONG-CHUEN LEEb , KHAIRUL OSMANc & ABDUL AZIZ JEMAINd
a,d
b,c
ABSTRACT
Selection of the most significant variables, i.e. the wavenumber from an infrared (IR) spectrum is always
di±cult to be achieved. In this preliminary paper, the feasibility of genetic algorithms (GA) in identifying
most informative wavenumbers from 150 IR spectra of papers was investigated. The list of selected
wavenumbers was then employed in Linear Discriminant Analysis (LDA). GA procedure was repeated 30
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times to get diÆerent lists of variables. The performances of LDA models were estimated via leave-oneout cross-validation. A total of six to eight wavenumbers were identified to be valuable variables in the
GA procedures. All the 30 LDA models achieve correct classification rates between 97.3% to 100.0% .
Therefore the GA-LDA model could be a suitable tool for diÆerentiating white papers that appeared to
be highly similar in their IR fingerprints.
Keywords: genetic algorithms; linear discriminant analysis; forensic science; classification; IR spectrum.
ST 35 - STATISTICAL MODELING OF EXTREME TEMPERATURE IN MALAYSIA
USING GENERALIZED PARETO DISTRIBUTION
HUSNA HASANa & NUR HANIM MOHD SALLEHb
[email protected], nurhanim [email protected]
a,b
ABSTRACT
Extreme events can cause severe consequences for human population and ecosystem. One of the most
interesting extreme events is a temperature event which exceeds over a relatively high threshold. In this
study, the Generalized Pareto (GP) distribution has been chosen in modeling the peaks over threshold
of the extreme values of the annual temperature series at eighteen meteorological stations in Malaysia.
The choice of threshold as a key factor in obtaining forecasting result is assessed carefully. L-Moment
(LMOM) and Maximum Likelihood Estimation (MLE) methods are used to estimate the parameter and
the return level is determined.
Keywords: extreme temperature; Generalized Pareto distribution; return level.
ST 36 - MULTINOMIAL LOGISTIC REGRESSION MODELLING OF STRESS LEVEL
AMONG SECONDARY SCHOOL TEACHERS IN KUBANG PASU DISTRICT,
KEDAH
NOR AMIRA MOHAMADa , ZALILA ALIb , NORLIDA MOHD NOORc & ADAM BAHARUMd
Pusat Pengajian Sains Matematik
a,b,c,d
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ABSTRACT
Multinomial logistic regression is used to model the outcomes of a categorical dependent variable with
more than two categories and predicts the probabilities of the diÆerent possible outcomes based on several
independent variables. Mathematically, for k categories of the response variable, the multinomial logit
model consists of k-1 binary logit model that estimate the eÆect of the predictors on the probability of
success in that category, in comparison to the reference category. The development of the model consists of
selection procedures used in selecting important predictor variable and diagnostics tools used to examine
for multicollinearity and to detect strongly influential outliers. The overall model is evaluated using the
goodness of fit tests and the pseudo R-squares. The significance of each predictor variable is tested using
the likelihood ratio test and the odds ratio is used to assess the contribution of individual predictors.
This study used multinomial logistic regression model to determine stress level among secondary school
teachers in Kubang Pasu district, Kedah based on their demographic profiles and workplace environment.
The result indicated that stress levels among school teachers are related to age, marital status, workload,
job responsibility, and interaction between age with job responsibility.
Keywords: multinomial, multicolinearity, goodness of fit.
ST 37 - BIVARIATE COPULA IN JOHOR RAINFALL DATA
KONG CHING YEEa , JAMALUDIN SUHAILAb , FADHILAH YUSOFc & FOO HUI MEANd
a,b,c,d
ABSTRACT
Copula is a probability distribution that allows a joint distribution function build from diÆerent univariate
marginal distribution function. Rainfall data in Malaysia is believed that is belongs to extreme values.
Gumbel, Clayton and skew t copula are good in detect the dependent extreme values. Five rain gauge
stations in Johor will be used in this study. The most suitable copula function that best suit the bivariate
relation among the five stations will be studied. The Akaike information criterion will be the used as the
moderator to decide the best suit copula function. Gumbel copula is the best suit copula function among
the five rain gauge stations.
Keywords: Gumbel copula; Clayton copula; skew t copula.
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ST 38 - BIAS CORRECTION OF GENERAL CIRCULATION MODEL (GCM) DATA
AROUND KELANTAN RIVER BASIN
MUHAMMAD SAIFUL ADHAM SHUKORa , FADHILAH YUSOFb & ZULKIFLI YUSOPc
Water Resources Alliance
a,c
b
[email protected]
ABSTRACT
It is well known that general circulation model(GCM) precipitation output cannot be used to force
hydrological or other impact models without some form of prior bias correction. In this study bias
correction was used as an algorithm to correct the GCM precipitation output data in producing the
internally consistent fields that have almost the same statistical intensity pattern as the observations.
Twenty five rainfall stations around Kelantan river basin were used in this study. Two sets of data consist
of observed and simulated GCM that were obtained from Drainage and Irrigation Department(JPS) and
National Hydraulic Research Institute of Malaysia(NAHRIM) were used. The study focus on two periods,
namely calibration and validation. Relationship between the historical observed data and historical
simulated GCM data from 1971 to 2000 was established by applying a curve fitting using nth polynomial
function. Goodness of fit test was used to determine which order of polynomial function to be the bestfit order in fitting the data. The result showed that the bias corrected GCM data distributed using
polynomial degree of four has the best-fit for the data. The results may also be presented in form of
graphs. In the validation periods, the polynomial degree of four function showed a very good fit as well.
Hence, the result may be implemented on the future simulated GCM data for future analysis.
Keywords: General Circulation Model; Bias Correction; Curve Fitting; Goodness of Fit Test.
ST 39 - ESTIMATING HALF LIFE FOR LEVY DRIVEN CARMA PROCESSES WITH
STOCHASTIC VOLATILITY
CHE MOHD IMRAN CHE TAIBa , BRENDA LOPEZ CABRERAb &
AHMAD ZULHAZIM MOHD ZAINUNc
a,c
[email protected]
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b
School of Business & Economics
Universiti Humboldt
10999 Berlin, German
[email protected]
ABSTRACT
In this paper, we analyze empirically the daily average temperature (DATs) of New York. Based on
the characteristics of the data, we propose to use a general class of Levy-driven continuous-time autoregressive moving average (CARMA) process and extend the model with stochastic volatility for pricing
of temperature futures. Here, the deseasonalized DATs are modeled by a high order of autoregressive
and hence the proposed model is estimated. The presence of mean reversion properties, which measure
the speed of reverting process, plays an important role for a stationary model such as CARMA process.
Therefore, the concept of half life is applied to measure the mean reversion in which involves the simulation of the distribution of half life. Next, from the resulting half life, we derived the prices of temperature
futures.
Keywords: CARMA processes; stochastic volatility; half.
ST 40 - MODELING MULTINOMIAL LOGISTIC REGRESSION ON SMOKERS
AFFECTED BY THE SMOKE-FREE CAMPAIGN IN THE AREA OF MELAKA
NUR AIN ABD AZIZa , ZALILA ALIb , NORLIDA MOHD NORc & ADAM BAHARUMd
a
11800 USM, Pulau Pinang
ABSTRACT
Multinomial logistic regression is used to model the outcome of a polytomous variable with categorical
more than two categories and the predictors are nominal, ordinal, interval and ratio. This model is used
to predict the probabilities of the diÆerent possible outcomes of a categorically distributed dependent
variable, given a set of independent variables. Multinomial logistic regression model also estimates a
separate binary logistic regression model for each indicator variable. The result is j-1 binary logistic
regression models. Each one tells the eÆect of the predictors on the probability of success in that category,
in comparison to the reference category. The model is validated by selection of predictor variables, test of
regression coe±cients, a significant test of the overall model, goodness-of-fit measures and validation of
predicted probabilities using odds ratio. This study used the multinomial logistic regression techniques to
examine smokers’ status that were aÆected by the Smoke-Free Melaka Campaign (SFMC) in the area of
Melaka based on the demographic profile, awareness of the campaign, smoking behavior and discussion,
perception and opinion of the campaign. The results indicated that the characteristics of smokers aÆected
by the campaign were related to gender, age, the types of advertisement: radio, posters/signage, shop
windows, side buses and smoking behavior if a non-smoking family is present and also the interaction
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between age over 40 years old with advertisement on radio and interaction between advertisement on
shop windows with advertisement on side buses.
Keywords: multinomial logistic regression model, indicator variable, odds ratio.
ST 41 - CREDIT CARD FRAUD DETECTIONS BASED ON RIDIT ANALYSIS
NORBAITI TUKIMANa & NORHAIZA AHMADb
a,b
a
[email protected]
Department of Mathematical Sciences, Faculty of Computer and Mathematical Science
Universiti Teknologi MARA, Malaysia
[email protected]
ABSTRACT
Detection of fraud is one of the important agenda concerning the financial and insurance sectors to
protect themselves from loss. Identifying potential credit card fraudsters from a huge database of credit
card holders often in the form of ordered measurement but not on an interval scale can be intimidating
since such variables do not allow numeric treatments. This paper compares diÆerent groups of credit
card holder attributes based on their credit card history using an unsupervised scoring approach namely
RIDIT (Relative to an Identified Distribution). The mean ridit comparison of two groups estimates
the probability that a randomly-selected credit card holder from one will have higher chance of having
a bad credit card history than a randomly-selected credit card holder from the other. These scores are
significantly tested for verification. We illustrate the method using German Credit card data set retrieved
from UCI Machine Learning Data.
Keywords: Fraud; RIDIT; Score.
ST 42 - GENERALIZED ADDITIVE MODELS (GAMS) APPROACH IN MODELLING
RAINFALL DATA OVER JOHOR AREA
NOR HANISAH SUHAIMIa , SHARIFFAH SUHAILAb & NORHAIZA AHMADc
a,b,c
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ABSTRACT
Observations of rainfall data are always changing over time. With the concern over climate change, this
study is done to demonstrate how Generalized Additive Models (GAMs) could be utilized to model daily
rainfall amount over Johor area. Hence, in modeling rainfall amount, Cyclic Cubic Spline is used as the
smoothing technique. This research concentrated on the daily rainfall series with the duration period
of 1980 to 2011 from six rainfall stations in Johor area. The results indicated that the rainfall stations
demonstrate diÆerent behaviours of rainfall patterns. Based on the resulting curves with fitted smoothing
parameters, a good summary of statistics of the six stations were obtained. The results from the model
will then be used to compare the rainfall patterns among the stations.
Keywords: daily rainfall series, smoothing technique, generalized additive model, cyclic cubic.
ST 43 - TEMPORAL DYNAMIC OF TREND IN WIND SPEED WITH STATE SPACE
MODEL
’AAISHAH RADZIAH JAMALUDINa , FADHILAH YUSOFb & IBRAHIM LAWAL KANEc
a,b
c
Department of Mathematics and Computer Science
Umaru Musa Yar’adua University
Katsina State, Nigeria
[email protected]
ABSTRACT
Wind speed play an important role in electrical energy generated. Information regarding wind energy
potential is important in both energy related modeling and for decision making in the policy community.
While wind speed datasets with high spatial and temporal resolution are often ultimately used for detailed
planning, simpler assumptions are often used in analysis work. An accurate representation of the wind
speed model and forecast is needed in order to properly characterize wind pattern and wind energy
potential. Using a conventional method which is based on Box-Jenkin approach, this paper model and
forecast the wind speed data in Senai station. The ability of conventional ARMA model was proven in
this paper. ARMA (2,3) was found to be an adequate model and perform very well in predicting the wind
speed data for 365 days ahead with just a little error. In addition, this study explores and introduces
a new forecasting model; dynamic linear model which is based on state space approach. State space
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approach model is found to be more interesting and eÆective in modeling and forecasting since no data
transformation is required. At the end of the study the comparison will be made between conventional
method and state space approach method.
Keywords: wind energy; box-jenkins; dynamic linear model.
ST 45 - EXPERIMENTAL DESIGN AND STATISTICAL ANALYSIS IN ROTATING
DISC CONTACTOR (RDC) COLUMN
SITI AISYAH ZAKARIAa , WAN NURUL AIFFAH ISMAILb , NOR FASHIHAH MOHD NOORc &
WAN NOR MUNIRAH ARIFFINd
Institute of Engineering Mathematics
Kampus Pauh Arau, 02600 Arau, Perlis
[email protected], aiÆ[email protected], [email protected],
[email protected]
a,b,c,d
ABSTRACT
Liquid-liquid extraction is one of the most important separation processes. DiÆerent kinds of liquid-liquid
extrator such as Rotating Disc Contactor (RDC) Column being used in industries. The study of liquidliquid extraction in an RDC column has become a very important subject to be discussed not just amongst
chemical engineers but mathematician’s as well. In this study, the performance of small diameter column
RDC using the chemical system involving cumene/isobutryricasid/water are analyzed by the method of
design of the experiments (DOE). DOE are applied to estimate the eÆect of four independent. For second
method is Multiple Linear Regression (MLR) to justify the relationship between the input variables and
output variables and also to determine which variable are more influence for both output variable. The
input variables for both method include rotor speed (Nr); ratio of flow (Fd); concentration of continuous
inlet (Ccin); concentration of dispersed inlet (Cdin); interaction between Nr with Fd; interaction between
Nr with Ccin; interaction Nr with Cdin. Meanwhile the output variables are concentration of continuous
outlet (Ccout) and concentration of dispersed outlet (Cdout) on RDC column performance. By using this
two method, we have two linear models represent two output of Ccout and Cdout for MLR. Lastly, the
researcher want to determine which input variable that give more influence to output variable by using
this two method. Based on the result, we obtained that rotor speed (Nr) more influence to dependent
variable, Ccout and concentration of continuous inlet (Ccin) more influence to dependent variable, Cdout
according the two method that was used.
Keywords: Rotating Disc Contactor (RDC) Column; Design of Experiment (DOE); Multiple Linear
Regression (MLR).
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ST 46 - PRE-TEST ESTIMATOR FOR CONCENTRATION PARAMETER OF
CIRCULAR NORMAL DISTRIBUTION
ROSSITA M.YUNUSa
a
Universiti Malaya
[email protected]
ABSTRACT
This paper proposes a pre-test estimator for the concentration parameter of circular normal distribution.
Based on hypothesis testing on the mean direction, the pre-test estimator of the concentration parameter
is formulated. The performance of the pre-test estimator is studied through its bias and mean squared
error for simulated data. The proposed estimator has shown positive results, when compared with the
maximum likelihood and the restricted estimators, for large concentration parameter.
Keywords: von-Mises; Neyman’s test; preliminary test.
ST 47 - PLUS TRAFFIC HIGHWAY: AN ANALYSIS BASED ON TIME SERIES
SIMILARITY APPROACH
NORHAIDAH MOHD ASRAHa , MAMAN ABDURACHMAN DJAUHARIb & ISMAIL MOHAMADc
a,c
a
[email protected]
Department of Mathematics and Statistics, Faculty of Science, Technology and Human Development
86400 Parit Raja, Batu Pahat, Johor, Malaysia
[email protected]
Institute of Mathematical Research
Universiti Putra Malaysia, UPM Serdang
maman [email protected]
b
ABSTRACT
Highway is the backbone of a country’s transportation system. The highway development is very important to a country to overcome the demand for e±cient road transportation. Better interconnected road
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network is crucial to increase the economic activities and social development in a country. The Malaysian
government is highly committed towards the development of road network. Projek LebuhrayaUsahasama
Berhad (PLUS) is one of the highway operators in Malaysia. It is also the largest highway concessionary
or build-operate-transfer (BOT) operator company in Malaysia. As the largest highway concessionary
in Malaysia, the network analysis of PLUS highway development was studied in this paper. The data
used were based on the number of vehicles that enter and exit each PLUS toll plazas from Juru (JRU)
toll plaza to Skudai (SKD) toll plaza. The relationships between the toll plazas were studied by using
minimal spanning trees and the overall centrality measures were used to determine the most influential
toll plazas among the states. Based on the results, some recommendations are forwarded to the PLUS
highway to improve the services and to increase the tra±c e±ciency.
Keywords: centrality measures; minimal spanning tree; network topology; topological properties of toll
plaza.
ST 49 - ASSESSING THE PERFORMANCE OF PROBABILITY DISTRIBUTIONS
FOR FINE RESOLUTION RAINFALL IN PENINSULAR MALAYSIA
NORZAIDA ABASa , ZALINA M. DAUDb & SITI MUSLIHA MAT RASIDc
a,b,c
UTMRazak School of Engineering and Advanced Technology, Universiti Teknologi Malaysia
Jln Sultan Yahya Petra, 54100, Kuala Lumpur, Malaysia
[email protected], [email protected], mimwausin [email protected]
ABSTRACT
Determining a probability distribution that provides a good fit in modelling rainfall series at fine resolution has long been an area of interest in hydrological studies. Theoretically, stochastic rainfall models are
assembled by having parameters to represent the physical attributes of rainfall process. Therefore it is imperative that appropriate distributions are used to describe the parameters so that credible rainfall series
is generated. The generated data serve as inputs to other hydrological models to explore the behavior of
hydrologic systems. Malaysia’s tropical rainfall has high rainfall variability in time and space, which resulted in diÆerent rainfall distribution over the region. Keeping this in mind, the study aims at identifying
the best distribution to represent rain cell intensity of a regionalised space time model. The performance
of four probability distributions namely Mixed-Exponential, Gamma, Weibull and Generalized Pareto
are assessed and compared. Simulations of hourly rainfall series for each distribution are carried at
out of sample site. Performance assessments between the distributions are conducted using Root Mean
Square Error, Akaike Information Criterion, Bayesian Information Criterion, Kolmogrov-Smirnov Test
and Anderson-Darling Test. Results revealed that mixture type distributions tend to perform better.
Overall, Generalized Pareto is the best distribution to represent tropical rain intensity.
Keywords: distribution fitting; stochastic model; rainfall intensity.
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ST 50 - SELECTED MODELS FOR CORRELATED TRAFFIC ACCIDENT COUNT
DATA
ZAMIRA HASANAH BINTI ZAMZURIa
a
43600, Bangi, Selangor, Malaysia [email protected]
ABSTRACT
The development of tra±c accident models in the literature was reviewed, and a gap identified. Accident
counts are correlated in many ways. Random eÆect models were introduced to cater for unexplained
heterogeneity. The sources of the unexplained of heterogeneity were identified as spatial, temporal and
categorical. Multiple models were introduced to cater one or two of these factors. There is no model to
date, which is able to incorporate three sources of variation and provide information on the correlation
structure. Hence, we review three selected models for correlated count data. Through simulation study,
the stability of these models is assessed. The strength and the weakness of these models are also identified
to evaluate their potential to be incorporated as one model.
Keywords: count data; tra±c accident; statistical model.
ST 51 - ROBUST LINEAR DISCRIMINANT ANALYSIS
SHARIPAH SOAAD SYED YAHAYAa , LIM YAI FUNGb , HAZLINA ALIc & ZURNI OMARd
Pusat Pengajian Sains Kuantitatif, Kolej Sains & Sastera
06010 Sintok, Malaysia
a
ABSTRACT
Linear discriminant analysis (LDA) is the most commonly employed method for classification. This
method which creates a linear discriminant function yields optimal classification rule between two or
more groups under the assumptions of normality and homoscedasticity. However, the calculation of
parametric LDA highly relies on the sample mean vectors and pooled sample covariance matrix which are
sensitive to non-normality. To overcome the sensitivity of this method towards non-normality as well as
homoscedasticity, this study proposes a new robust LDA method. In this method, an automatic trimmed
mean and its corresponding winsorized mean are employed to replace the mean vector in the parametric
LDA. Meanwhile, for the covariance matrix, this study introduces two robust approaches namely the
winsorization and the multiplication of Spearman’s rho with the corresponding robust scale estimator
used in the trimming process. Simulated and real financial data are used to test the performance of the
proposed method in terms of misclassification rate. The numerical result shows that the new method
performs better if compared to the parametric LDA and the robust LDA with S-estimator.
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Keywords: Discriminant Analysis; Classification; Normality; Homoscedasticity; Robust; trimmed mean;
Winsorized.
ST 52 - EMD-DR MODELS FOR FORECASTING ELECTRICITY LOAD DEMAND
NURAMIRAH AKROMa & ZUHAIMY ISMAILb
a,b
ABSTRACT
Forecasting electricity demand is a vital process since electricity is a hard-to-store resource. To accurately forecast electricity demand, this paper proposes a novel method combining Empirical Mode
Decomposition (EMD) and Dynamic Regression namely EMD-DR method. EMD is a technique for
detecting non-stationary and nonlinear signal, while Dynamic Regression approach is a method that involves lagged external variables. The EMD-DR method was applied to a half-hourly of electricity demand
(kW) and reactive power (var) of Malaysia; where the reactive power data act as exogenous variable for
Dynamic Regression method. This paper demonstrates that the proposed EMD-DR model provides a
better forecast compared to a single Dynamic Regression model.
Keywords: Empirical Mode Decomposition, Dynamic Regression, Interpolation, Reactive Power.
ST 53 - BAYESIAN ANALYSIS OF CHANGE POINT PROBLEMS FOR TIME SERIES
DATA
CHEE NIAN LEEa & HONG CHOON ONGb
a
Department of Physical and Mathematical Science, Faculty of Science
Universiti Tunku Abdul Rahman
31900 Kampar, Malaysia
[email protected]
a,b
11800 Pulau Pinang
[email protected]
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ABSTRACT
Alterations or sudden changes within a sequence of temporal observations always create disturbance
to data analysis. The manoeuvre to detect this alterations or changes in any temporal data may allow
researchers to identify the aberration in every block of segments. The Bayesian method proposed by Barry
and Hartigan has greatly fitting the analysis of change point problems through product partition model.
We study Bayesian analysis for change point problem with Markov sampling computation onBritish coal
mine accident. The result provides accurate change point and posterior means estimation.
Keywords: Bayesian analysis; change pointproblem; segmentation; time series.
ST 54 - COMPARATIVE ANALYSIS ON THE PERFORMANCE OF STOCHASTIC
DIFFERENTIAL’S PARAMETER ESTIMATION METHODS
HALIZA ABD.RAHMANa , ARIFAH BAHARb & FUAADA MOHD. SIAMc
a,c
b
[email protected]
ABSTRACT
In this study, the classical SDE’s parameter estimation and a two-step method with Bayesian regression
spline are discussed. The classical estimation methods are the maximum likelihood and non-parametric
estimation. In the two-step method, the existing non-parametric estimator is utilised to estimate the
average drift parameter. To estimate the diÆusion term parameter, a new non-parametric criterion is
proposed together with the proof of its consistency. Results from the application to population data show
the Two-step method is a good alternative to the classical methods providing the least Mean Square Error
for the chosen case study.
Keywords: stochastic diÆerential equation; maximum likelihood estimation; non-parametric estimation,
two-step method.
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ST 56 - COMPARISON BETWEEN BAYESIAN STRUCTURAL EQUATION MODELS
WITH ORDERED CATEGORICAL DATA
Thanoon Y. Thanoona , Robiah Adnanb & Seyed Ehsan SaÆaric
a,b
Education Development Centre
Sabzevar Universiti Sains Perubatan
9613873136-319, Sabzevar, Iran
[email protected]
c
ABSTRACT
In this paper, ordered categorical variables are used to compare between linear and nonlinear Bayesian
structural equation models, Gibbs Sampling method is applied for estimation and model comparison.
Statistical inferences, which involve estimation of parameters and their standard deviations, and residuals analyses for testing the posited model, are discussed. The proposed procedure is illustrated by a
simulation data obtained from R program. Data results are obtained from WinBUGS program.
Keywords: Nonlinear Structural Equation Models; Latent Variables; Ordered Categorical Data.
ST 57 - ROBUST PC WITH WILD BOOTSTRAP ESTIMATION OF LINEAR MODEL
IN THE PRESENCE OF OUTLIERS, MULTICOLLINEARITY AND
HETEROSCEDASTICITY ERROR VARIANCE
BELLO ABDULKADIR RASHEEDa , ROBIAH ADNANb , SEYED EHSAN SAFFARIc & KAFI
DANO PATId
[email protected], [email protected], kafi [email protected]
a,b.d
c
Centre of Education, Sabzevar
Universiti Sains Perubatan
Sabzevar, Iran
[email protected]
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ABSTRACT
The regression model estimator is considered an e±cient if it robust and resistance toward the presence
of heteroscedasticity variance, multicollinearity or unusual observations called outliers. However, regard
to these problems, the wild bootstrap and robust wild bootstrap are no longer e±cient since it could
not produce the smallest variance. Hence this research investigates the use of robust PC with wild
bootstrap techniques on regression model as an estimator for real and simulation data in a situation
where multicollinearity, heteroscedasticity and multiple outliers are presence. This paper proposed a
robust procedure based on the weighted residuals which combine the Tukey bisquare weighted function,
principal component analysis (PCA) to remedy the multicollinearity problems, least trimmed squares
(LTS) estimator, robust location and scale, and the wild bootstrap sampling procedure of Wu’s and
Liu that remedy the heteroscedasticity error variance. The RPCWBootWu and RPCWBootLiu was
obtained through a modified version of RBootWu and RBootLiu. Finally, based on the real data and
simulation study, the performance of the RPCWBootWu and RPCWBootLiu is compared with the
existing RBootWu, RBootLiu and also with BootWu and BootLiu using the biased, RMSE and standard
error. The numerical example and simulation study shows that the RPCWBootWu and RPCWBootLiu
techniques have proven to be a good alternative estimator for regression model with lower standard error
values.
Keywords: Wild Bootstrap, Heteroscedasticity, Multicollinearity and Multiple Outliers PACS.
ST 59 - ESTIMATION PARAMETERS USING BISQUARE WEIGHTED ROBUST
RIDGE REGRESSION BRLTS ESTIMATOR IN THE PRESENCE OF
MULTICOLLINEARITY AND OUTLIERS
KAFI DANO PATIa , ROBIAH ADNANb , BELLO ABDULKADIR RASHEEDc & MUHAMMAD
ALIAS MD.Jd
kafi [email protected], [email protected], [email protected], muhamad [email protected]
a,b,c,d
ABSTRACT
This study presents an improvement to robust ridge regression estimator. We proposed two methods
Bisquare ridge least trimmed squares (BRLTS) and Bisquare ridge least absolute value (BRLAV) based on
ridge least trimmed squares RLTS and ridge least absolute value (RLAV) respectively. We compared these
methods with existing estimators, namely ordinary least squares (OLS) and Bisquare ridge regression
(BRID) using three criteria: Bias, Root Mean Square Error (RMSE) and Standard Error (SE) to estimate
the parameters coe±cients. The results of Bisquare ridge least trimmed squares (BRLTS) and Bisquare
ridge least absolute value (BRLAV) are compared with existing methods using real data and simulation
study. The empirical evidence shows that the results obtain from the BRLTS are the best among the
three estimators followed by BRLAV with the least value of the RMSE for the diÆerent disturbance
distributions and degrees of multicollinearity.
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Keywords: multicollinearity; ridge regression; outliers; Bisquare weighted ridge least absolute value;
Bisquare weighted ridge least trimmed squares.
ST 61 - A NEW APPROACH FOR FISHERY LANDING FORECASTING BASED ON
EMPIRICAL MODE DECOMPOSITION AND ARIMA MODEL
ANI SHABRIa
a
Department of Science Mathematics, Faculty of Science
81310, Johor, Malaysia
ABSTRACT
This paper proposes a new approach for fishery landing forecasting method based on ensemble empirical
mode decomposition (EEMD) and Autoregressive Integrated Moving Average (ARIMA) model. This
hybrid model is formulated specifically to address di±culties in modelling fishery landing which has
inherently high nonlinear, non-stationary and seasonality. At first, EEMD was applied to decompose the
time series into a series of diÆerent scales of intrinsic mode function (IMF). Then ARIMA is implemented
to forecast every extracted IMFs independently. Finally, the forecast of proposed model is obtained by
aggregating all forecasting results of the sub-series. To assess the eÆectiveness of this model, monthly
fishery landing data from East Johor of Peninsular Malaysia, has been used as a case study. The result
shows that the proposed EEMD-ARIMA yield better forecast than ARIMA and EMD-ARIMA models.
Keywords: fishery landing, forecasting, ARIMA, EEMD, EMD,
ST 62 - ANALYSIS ON THE FUTURE MONTHLY RAINFALL AMOUNT IN JOHOR
FADHILAH YUSOFa & ZULKIFLI YUSOPb
a
b
Jabatan Sains Matematik, Fakulti Sains
[email protected]
Institute of Environmental and Water Resource Management (IPASA)
Faculty of Civil Engineering
§ 151 §
SKSM23
UTM, Johor Bahru
[email protected]
ABSTRACT
Floods and droughts are the two main disasters aÆecting living things and economics in Johor. These
disasters can happen anytime in a year. One way to minimize the impacts of the disasters is to study
the rainfall pattern in Johor. This involves analyzing the trend of the monthly rainfall amount whereby
the Mann Kendall and Sequential Mann Kendall methods are used. The results show that there is
no significant trend in the monthly rainfall amount time series. However, the positive trend reflects a
possibility of increasing monthly amount in the future. Droughts and floods potential are analysed using
Standardise Precipitation Index (SPI) on both historical and future rainfall data. The percentages of wet
events increase more than 50% and in that events the extremely wet increase more than double. The
percentages of dry events also increase of below 50% but the percentages of extremely dry decrease by
almost 30%. Average severity and intensity of drought also show a decrease. Therefore, we can conclude
that in the future, Johor is expected to have more wet events with the extremely wet events is expected
to increase two folds. Drought episodes even though will occur but with less severe and less intense.
Keywords: Standardized Precipitation Index (SPI); Mann Kendall; Sequential Mann Kendall; drought;
flood.
ST 63 - AN ARIMA-GARCH MODEL FOR SYNTHETIC GENERATION OF WIND
SPEED TIME SERIES DATA
Nurulkamal Masserana
Centre for Modeling and Data Analysis (DELTA), Faculty of Sciences and Technology
a
ABSTRACT
An accurate modeling of the fluctuations of wind speed data can always provide a beneficial eÆect,
particularly in regard to wind energy conversion systems. Regarding this matter, a statistical modeling
process and analysis has been widely used in the process of wind energy assessment to provide better
insight into the behaviors and the variability of the wind regime in a particular area.In fact, a good
statistical model will provide accurate forecasting of the wind speed. This will minimize scheduling errors
and increase the reliability of the electric power grid. This study investigated the eÆect of the mean and
volatility on the realizations of the wind speed by using a combination of the Autoregressive Integrated
Moving Average model and the Autoregressive Conditional Heteroskedasticity model (ARIMA-GARCH
model). The results that were obtained show that the ARIMA-GARCH model is able to better forecast
the wind speed data than is a single ARIMA model. Thus, it can be conclude that the ARIMA-GARCH
model is a good model to use when describing the characteristics of wind speed data.
§ 152 §
SKSM23
UTM, Johor Bahru
Keywords: Time Series Model; Wind Speed Modeling; Wind Energy.
ST 64 - THE NEYMAN-SCOTT WHITE MODEL FOR MALAYSIA RAINFALL DATA
NORAZLINA ISMAILa , PAUL COWPERTWAITb & BARRY MCDONALDc
a
Johor Bahru, 81310, Johor, Malaysia
[email protected]
School of Computer and Mathematical Sciences
Auckland University of Technology, AUT Tower
Auckland, New Zealand
[email protected]
b
c
New Zealand Institute for Advanced Study
Massey University,
Albany, Auckland, New Zealand
[email protected]
ABSTRACT
Rainfall in Malaysia has a significant diurnal variation in the daily data. To allow a rainfall model
to display the diurnal variation, Neyman-Scott white noise (NSWN) model was chosen to describe the
rainfall process in Malaysia with additional indicator to represent the diurnal pattern. The indicator
variable is assumed to be independent of the main point process models. Since the point processes are
assumed stationary for every month, then the indicator variables are assumed non-stationary for every
two hour block. The two hour block was chosen because the diurnal variation can still be seen in the plot.
Two models were developed, X-NSWN model and Markov X-NSWN model. Both models are compared
based on the model statistical properties. The comparison shows that assuming dependency between
the hours in the two hour blocks, improved the fitting of the derived statistical properties to the related
historical values. Thus the Markov X-NSWN model is the best model to fit the hourly Malaysia rainfall
data.
Keywords: Neyman-Scott white noise; diurnal rainfall; point process.
ST 65 - ON THE PERFORMANCE OF NEW GENERALIZED-M ESTIMATOR TO
RECTIFY MULTICOLLINEARITY CAUSED BY HIGH LEVERAGE COLLINEARITY
ENHANCING OBSERVATION
§ 153 §
SKSM23
UTM, Johor Bahru
HABSHAH MIDIa & MOHAMMED A. MOHAMMEDb
a
Faculty of Science and Institute For Mathematical Research
University Putra Malaysia
43400 UPM Serdang Selangor, Malaysia
ABSTRACT
The commonly used methods such as the ridge regression, jackknife ridge regression and latent root
regression are often used to remedy the problem of multicollinearity caused by correlated among predictor variables. However, many statistics practitioners are not aware that High Leverage Collinearity
Enhancing Observations (HLCEO) is another source of multicollinearity. In this regard,employing those
methods may produce misleading conclusions about the fitting of regression model which may produce
invalid inferential statement and incorrect prediction. In this paper, we developed a new bounded influence Generalised M-estimator that we call MGM estimator to remedy multicollinearity problem caused
by HLCEO. The developed method incorporates two of our new developed diagnostics measures namely
the Diagnostic Robust Generalised Potential (DRGP) and the Modified Generalised DFFITS (MGDFFITS). The results of our study indicate that the MGM estimator is the most e±cient method to rectify
multicollinearity problem which is caused by HLCEO.
Keywords: DFFITS, Generalized -M; High Leverage Points; Multicollinearity; High Leverage Collinearity Enhancing Observations
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Abstract (English) - Faculty of Science

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