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Proceedings of The 5 th IMT-GT International Conference on Mathematics, Statistics, and their Applications 2009 (ICMSA 2009)

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Proceedings of The 5 th IMT-GT International Conference on Mathematics, Statistics, and their Applications 2009 (ICMSA 2009) Mathematics and Statistics for Industry and Community Development June 09 11, 2009 The Hills Hotel, Bukittinggi - Indonesia Organized by : Department of Mathematics, Andalas University, Padang Indonesia Published by : Department of Mathematics, Andalas University Kampus UNAND Limau Manis Padang 25163, Sumatera Barat, INDONESIA. ISBN Copyright reserved. The organizing Committee is not responsible for any errors or views expressed in the papers as these are responsibility of the individual authors. June 2009 Proceeding of The 5 th IMT-GT Preface First of all, I would like to say welcome to Bukittinggi, Indonesia to all of you. It is an honour for us to host this conference. We are very happy and proud because the participants of this conference come from many countries; we have participants from Libya, Japan, Qatar, India, Malaysia, Singapore, Thailand, Iran, and many more. Ladies and gentlemen, according to constructivism theory, mathematics comes out as a result of social construction; that's why, the outcomes of our researches in mathematics, like theorem or formula of mathematics, should be communicated in a scientific forum such as seminar or conference. Through this kind of seminar or conference, we could refine the existing theorems or we could get new ideas to produce a new one. Seminar or conference which is held annually enables us to continually develop the science of mathematics until the end of the time. That's way, in this two-day conference, we are going to discuss around 250 papers coming from diverse aspects of mathematics ranging from analysis, applied mathematics, statistics, algebra, Computational Mathematics, mathematics education, and other related topics. For all of us here, I would like to convey my endless appreciation and gratitude for your participation in this conference. Thank you very much Dr. I Made Arnawa Chairman of the Conference i Proceeding of The 5 th IMT-GT Message from Rector Andalas University It gives me great pleasure to extend my sincere and warm welcome to the participants of the 5th International Conference on Mathematics Statistics and Application (The IMT GT's 5th ICMSA 2009) - A Joint Scientific Program organized by Universities over Indonesia, Malaysia and Thailand Growth Triangle Region. On behalf of Andalas University, let me welcome all of you to the conference in Bukittinggi, West Sumatra Province, the land of Minang kabau. We believe that from this scientific meeting, all of participants will have time to discuss and exchange ideas, findings, creating new networking as well as strengthen the existing collaboration in the respective fields of expertise. In the century in which the information is spreading in a tremendous speed and globalization is a trend, Andalas University must prepare for the tough competition that lay a head. One way to succeed is by initiating and developing collaborative work with many partners from all over the world. Through the collaboration in this conference we can improve the quality of our researches as well as teaching and learning process in mathematics and to achieve standards and requirements applied in many developed countries. I strongly believe that this conference is and extraordinary testimony to our capacity building at international, regional and local level. I would like to express my deep gratitude to International Scientific Committee of who has honored the Mathematics Department, Faculty of Mathematics and Natural Sciences, Andalas University to host this prestigious conference. This is a very special opportunity for us to be involved in a regional community of knowledgeable scientist in the field of mathematics, statistics and their applications. I would also like to extend my gratitude to keynote speakers, participants, and organizer of this conference for their contribution to this event. My special thank is also rendered to the local government of West Sumatra for various supports and facilities. Finally I wish all participants a fruitful deliberation at the conference. I also wish all participants and accompanying spouses a pleasant and enjoyable stay in Bukittinggi City, West Sumatra. Prof. Dr. Ir. Musliar Kasim, MS Rector ii Organizing Committee Proceeding of The 5 th IMT-GT ORGANIZING COMMITTEE Patrons Steering : Rector Andalas University Vice Rector of Academic Affair Andalas University : Dean Faculty of Sciences Andalas university Vice Dean of Academic Affairs Andalas University International Scientific Committee Prof. Dr. Novesar Jamarun (Andalas University Indonesia) Prof. Dr. Herman Mawengkang (University of Sumatera Utara Indonesia) Prof. Dr. Dato Rosihan Ali ( University Sains Malaysia) Assoc. Prof. Dr. Ahmad Izani Md. Ismail (University Sains Malaysia) Assoc. Prof. Dr. Putipong Bookkamana (Chiang Mai university Thailand) Assoc. Prof. Dr. Anton Abdulbasah Kamil (University Sains Malaysia) Assoc. Prof. Dr. Pachitjanut Siripanitch (School of Applied Statistics Thailand) Dr. Saib Suwilo (University of Sumatera Utara Indonesia) Dr. Hizir Sofyan ( Syiah Kuala University Indonesia) Dr. Tarmizi Usman (Syiah Kuala University Indonesia) Local Scientific Committee Dr. Maiyastri (Andalas University Indonesia) Dr. Susila Bahri (Andalas University Indonesia) Dr. Muhafzan (Andalas University Indonesia) Adek Tasri, Ph.D (Andalas University Indonesia) Committee Chairman : Dr. I Made Arnawa. Secretary : Ir. Yudiantri Asdi, M.Sc. : Izzati Rahmi, H. G., M.Si. Transportation/Accomodation : Drs. Syafruddin, Zulakmal, M.Si. Treasurer : Ir. Werman Kasoep, M.Kom., Jenizon, Msi, Ir. Hazmira Yozza, M.Si., Ir. Insanul Kamil, MS., Drs. Zulkarnain Khaidir, MS., Drs. Mulyadi, MS. Technical Programme : Dr. Muhafzan, Dr. Maiyastri, M.Si. Secretariat / Documentation : Budi Rudianto, M.Si., Narwen,M.Si., Arrival Rince Putri, M.T., Budi Rahmadya, S.Kom, Mohammad Hafiz Hersyah, S.Kom., Rahmi Eka Putri, S.Kom., Ratna Aisuwarya, S.Kom, Fajar Wisga, Berkah Fajar. iii Contents Proceeding of The 5 th IMT-GT Contents iii Contents Proceeding of The 5 th IMT-GT CONTENTS Preface Message from Rector of Andalas University Organizing Committee i ii iii Algebra 1-54 A subclass of 7-dimensional complex filiform Leibniz algebras and their isomorphism classes Sharifah Kartini Said Husain, Isamiddin S. Rakhimov 1 New key exchange in Elliptic Curve based on Decomposition Problem Hilyati Hanina Zazali, Wan Ainun Mior Othman 7 P x, y, z x y, y z, x z Generators of Diagram Groups From Semigroup Presentation Using Lifting Methods Yousof Gheisari and Abd Ghafur Bin Ahmad 11 Finite Field Basis Conversion Intan Muchtadi-Alamsyah, Marisa W. Paryasto, Muhammad Hafiz Khusyairi 15 On Commutative Group of N-homomorphisms Indah Emilia Wijayanti 19 The f-chromatic indexes of wheel-like graphs Adiwijaya 1,2, A.N.M. Salman 1, D. Suprijanto 1, E.T. Baskoro 1 24 Structure of Incidence Algebras of Locally Finite Partially Ordered Set Gustina Efiyanti 1 and Irawati 2 28 A new directed hypergraph distance and its applications Mulia Astuti 1, Irawati 2, Intan Muchtadi-Alamsyah, Ahmad Muchlis 4, Achirul Akbar 5 dan Muliana. A. Halim 6 31 Large graphs diameter two from the smaller ones Yus Mochamad Cholily 37 On Module Classes Closed Under Submodules, Factor Modules and Direct Sums Suwarno Ariswoyo and Elvina Herawaty 40 Multinomial Option Pricing with Pseudoinverse Matrix Abdurakhman 44 Solving Traveling Salesman Problem Using A Hibryd of Evolution Strategies and Lin-Kernighan Algorithm Nurmaulidar 46 Analysis Generation of Rainfall Sequence using Fourier Series Norzaida Abas 1*, Zalina Mohd Daud 1, Fadhilah Yusof 2 55 On Extremal Properties for Certain Classes of Analytic Functions Shaharuddin Cik Soh and Daud Mohamad 61 The Area of the Region Enclosed by Bezier Curve 1 Normi binti Abdul Hadi*, 2 Abdul Halmie bin Muhamad 66 The Application of Regulated Function on the Multiplication of Two Henstock Integrable Functions Christiana Rini Indrati 70 Riesz potential and the generalized Morrey spaces with growth measures Idha Sihwaningrum 1*, Hendra Gunawan 2, Yudi Soeharyadi 3, Wono Setya Budhi 4 75 An Estimation of Exponential Sums Associated With A Sextic Form Sapar S.H 1, Mohd Atan K.A 2 79 iv Contents Proceeding of The 5 th IMT-GT Computational Mathematics A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems Norazak Senu 1*, Mohamed Suleiman 2 Fudziah Ismail 3 and Mohamed Othman 4 85 New Multi-step Runge-Kutta method O. Y. Ababneh 1*, R. Ahmad 2, E. S. Ismail 3 91 An efficient parallel implementation of Markov clustering algorithm for large-scale protein-protein interaction networks that uses MPI Alhadi Bustamam 1, 2, *, Muhammad Shoaib Sehgal 1, Nicholas Hamilton 1, Simon Wong 1, Mark A Ragan 1, Kevin Burrage 1, 3 94 Implementation Of Parallel Computational Tools For The Curing Simulation Of Thermoset Composites Using The Two Dimension Age Algorithm Amna Abdurrahman 1, Ahmad Kamal bin Zulkifle 2,Norma Alias 3, and Ishak Hashim Optimizing of Text Retrieval: A similarity level by keyword competition in Genetic Algorithm (GA) Poltak Sihombing The mutation and crossover effect in genetic algorithm to determine the similarity level of document retrieval Poltak Sihombing Analysis and Evaluation RC4 Algorithm for Data Encryption Ratna Aisuwarya 1, Rahmi Eka Putri Efficient Differential Equation Solvers for Fluid Modeling in Interactive Surgical Drilling Simulations based on GPU Computations Sugeng Rianto 1,* Ling Li Developing Secant Method for Solving Nonlinear Equations Taufiq Iskandar 1, Marlan 2, Sanggam P. Gultom 3,Herman Mawengkang Visualization of XLM-based Geochemical Data using SVG and ASP.NET Nizamuddin 1 * and Hidehiro Ishizuka Application of Backtracking Algorithm On the Knight s Tour Game Using Pascal Senja Omega Puspita, Budi Rudianto 156 A Mixed Integer Linear Programming Model for Capacity Selection Problem in Logistics Networks Optimization Muhammad Izman Herdiansyah Analysis and Implementation of the New Student Acceptance System On 2 sd Padang s Educational Council in On-Line Method By Using Applserver Application Mohammad Hafiz Hersyah 175 Statistic Goodness of Fit Test for the EEG Distribution by Using the Empirical Laplace Transform Prasong Kitidamrongsuk 1 *, Pachitjanut Siripanich Conditional Maximum Likelihood Estimator for Incomplete Longitudinal Data Juthaphorn Saekhoo 1 *, Pachitjanut Siripanich Autocorrelation correction in a simultaneous equations model Kerativibooly W. 1*, Jitthavech J., Lorchirachoonkul V. 192 Construction of Weights for the Estimation of Regression Coefficients with Outliers Pimpan Ampanthong 1, Prachoom Suwattee Goodness of Fit for the Poisson Distribution Based on Sample Skewness Manad Khamkong * and Pachitjanut Siripanich 204 Estimators of Errors of Kernel Density Estimator Manachai Rodchuen 1*, Prachoom Suwattee v Contents Proceeding of The 5 th IMT-GT Using Data Envelopment Analysis (DEA) Model to Measure The Relative Efficiency Of Higher Education Institutions 1 Zalina Zahid, 1 Rasimah Aripin and 2 Mohd. Nasir Taib 216 Detecting Students at Risk of Failing Using Decision Tree Haliza Hasan *, Rasimah Aripin & Sharifah Sakinah Syed Hassan Aidid 222 Assessing The Performance of University Departments Using Data Envelopment Analysis Nordin Hj Mohamad 1* and Fatimah Said Mean-VaR Portfolio Optimization Under CAPM by Non Constant Volatility in Return Market Sukono 1, Subanar 2 & Dedi Rosadi Credit Risk Measurement for a Single Facility in Banking Sukono 242 Asymptotic Properties of a Generalized Renewal Reward Process Suyono 248 Distribution of a Generalized Renewal Reward Process Suyono 1) and Subanar 2) 252 Bayesian Updating Reservoir Simulation Models 256 Sutawanir Darwis 1*, Agus Yodi Gunawan 2, Sri Wahyuningsih 1, Nurtiti Sunusi 1, Aceng Komarudin Mutaqin 1 Developing Bayesian inferential method for basic reproduction number in epidemic models under uncertainty Dapot Situngkir, Abdul Latif Hasibuan, Daswati Sigalingging, Debora S.Parapat, Erwin Sidabalok, Herman Mawengkang 261 Two stage mixed integer nonlinear stochastic programming model for solving a superstructure synthesis water networks optimization problem under uncertainty 270 Mujio, Evi Yanti Lubis, Harris H.Simamora, Herbin Manurung, Januasi Simarmata, Herman Mawengkang Application of Cluster Analysis In Classification of Tourist Destinations In Sabang 1 Asep Rusyana, 2 Evi Ramadhani, 3 Suhartono 278 Simulation of Agent Based Model on Jakarta Stock Exchange (BEJ) Afdal Mazni 281 Modeling and Analyzing Dependent Categorical Data Georgina M. Tinungki 296 Life Insurance Product Valuation under Binomial Framework Danang Teguh Qoyyimi *, Danardono, Abdurakhman Time-dependent Strata as an alternative for Time-dependent Covariates in Survival Analysis Danardono Statistical Analysis on Determination of Optimum Condition for Pra-esterification of Crude Palm Oil with Methanol to Biodiesel Using Sulfuric Acid Catalyst Sawaluddin 1, Tirena Bahnur Siregar 2, Suwarno Ariswoyo A Linear Mixed Model for Two-Dimensional Competition between Neighbouring Trees in Forestry Trials: Model Testing in a Plantation of Maritime Pine (Pinus pinaster Ait.) in Western Australia Dadan Kusnandar 1,*, N.W. Galwey Reducing Fuzzy Relations of Fuzzy Time Series Model Using QR Factorization Method and Its Application to Forecasting Interest Rate of Bank Indonesia Certificate Agus Maman Abadi 1, Subanar 2, Widodo 3, Samsubar Saleh An Adaptive Sensitivity-Based Linear Learning Method Algorithm for Data Classification Zaenal Arifin 1), M. Isa Irawan 2) 333 The Study of Sensitivity of Radial Basis Probabilistic Neural Network Hasanuddin 1*, M. Isa Irawan vi Contents Proceeding of The 5 th IMT-GT Recurrence Time Modeling for Earthquake Prediction Surianto 1, Sutawanir Darwis 2, Aceng Komaruddin Mutaqin Stochastic Project Scheduling Johannes P. Sitanggang, Budi Irwansyah, Risna Helvida, Yuliani Nasution, Syafaruddin, Herman Mawengkang 352 Mewma And Ewma Quality Control Charts, And Its Multiobjective Optimization Arrival Rince Putri Characteristic of Poisson Distribution Nova Noliza Bakar 368 The Comparison of Forecasting of Jakarta Composite Index by Using Exponential Smoothing and Arima Method Puspa Amelia 1) and Maiyastri 2) 374 Representing Students Perspectives to Television Channels by Using Multidimensional Scaling Method (Case study in Department of Mathematics Andalas University) Primawati 1*, Izzati Rahmi, HG Latin Square Arrangement for Taste-Panel Experiments Arisman Adnan 386 Mathematics Education Improving Student Academic Performance by An Application of Data Mining Techniques Sajadin Sembiring 1*, Abdullah Embong 2, Mohd. Azwan Mohamad 3, Muhammad Furqan To consider the education of mathematics in different educational levels and it s more effective learning methods Manochehr Kazemi 1 and Hassan Naraghi How to Make the Teaching of Abstract Algebra Interesting? Abdul Razak Salleh 398 Matriculation Students Metacognitive Awareness And Achievement In Mathematical Problem Solving Effandi Zakaria 1 *, Zainah Yazid How The Indian Vedic Mathematics on Method of Calculation is still Relevant for Children in Today s Era of Mental Computation Rita Desfitri Prioritization of Factors to Further Studies in a University Using AHP Yuzainee Bte Md Yusoff 1, Norngainy Bt Mohd Tawil Contribution of Games to the Student Interest on Mathematics Lesson Syukma Netti 1, Niniwati Implementation of Creative Problem Solving Method by Using Media Computer to Improve Students Achievement in Mathematics (Classroom Action Research at SMP 13 Pekanbaru) 1 Yenita Roza, 2 Maida Deli 425 Mathematic for Senior High School It s Problems and Challenges Ali Asmar 429 Errors in College Level Theorem Proving I Made Arnawa 432 Development of Model - Mathematics Learning Based of Interpersonal Intelligences For Student Class VII in Padang Atus Amadi Putra 437 Teaching Mathematics Through Cooperative Learning and Using ICT Hendra Syarifuddin 441 Improving Students Activities And Mathematics Achievement Of SMPN 26 Padang Through Cooperative Learning; STAD Type Mirna 443 vii Contents Proceeding of The 5 th IMT-GT Applied Mathematics The modification of steepest descent method On portfolio selection Yosza Dasril 1, Goh Khang Wen 2, & Ismail Bin Mohd Feedback Control and Magnetic Field Effects on Marangoni Instability in a Micropolar Fluid Mohd Nasir Mahmud 1, Zainol Mustafa 2, and Ishak Hashim 2* 452 A Mathematical Models of Lower Limb Using Kane s Method: An Application to Walking Movement While Carrying Load Fazrolrozi & A. S. Rambely 458 Mixed convection boundary layer flow towards a vertical plate embedded in a porous medium Norfifah Bachok 1*, Anuar Ishak 2, Roslinda Nazar 3, Ioan Pop A New Number Representation for Faster Elliptic Curve Scalar Multiplication Mohamad Rushdan Md Said *, Abdul Wahed M. Ismail 472 Effect of Non-Uniform Temperature Gradient and Magnetic Field on Marangoni Convection in a Micropolar Fluid 1,* Melviana Johnson Fu, 2 Norihan Md. Arifin, 3 Mohd Noor Saad, 4 Roslinda Mohd Nazar 477 MHD stagnation-point flow towards a stretching sheet with induced magnetic field Fadzilah Md Ali 1*, Roslinda Mohd Nazar 2, Norihan Md Arifin 1, Ioan Pop Multiple Intelligence Profiling Analysis of People with Epilepsy for Job Placement Purposes Siti Rahmah Awang 1*, Rasimah Aripin 2, Md. Hanip Rafia Mathematical Modeling of the Upper Limb Movement using Kane s Equation Sharifah Alwiah AbdulRahman 1*, Azmin Sham Rambely 2, Rokiah Rozita Ahmad Pixel area validation of segmented malignant tumors in digital mammographic images Rohana Embong 1*, Wan Eny Zarina W.Abd. Rahman 1, Tahir Ahmad 2, Rozi Mahmud 3, Arsmah Ibrahim 1, Zainab Abu Bakar 1, Md Saion Salikin Structural Similarity Measure for Mathematics Assessment Marking Engine 1 Arsmah Ibrahim, 2 Zainab Abu Bakar, 3 Nuru l Izzah Othman 504 A Decision Making Model Based on Consistent Fuzzy Preference Relations and Generalized TOPSIS Nor Hanimah Kamis, Daud Mohamad and Nor Hashimah Sulaiman 510 The Study of Delivery Response Time: A Gap Analysis Approach 1 Mohd Sahar Sauian, 2 Mohamad Yazid Shuaib 517 Mathematical Musyarakah Model in Managing Islamic Investment Between Two Parties Using Two Profit Sharing Rates Maheran Mohd Jaffar 521 A Fuzzy Ruled Based Model for Stock Selection Advisor System Daud Mohamad, Noorhar Jiana Haryanti Mohd Saad 526 Performance of A Low-Cost Pcs in Edge Detection of Breast Tumor in Digital Mammomograms Using Wavelet Modulus Maxima Arsmah Ibrahim 1, Norma Alias 2, Hanifah Sulaiman 1, Mohd Idris Jayes 1, Khairil Iskandar Othman 1, Md Saion Salikin A Metaheuristics Approach for the Inventory Routing problem Huda Zuhrah Ab Halim *, Nur Arina Bazilah Aziz, Noor Hasnah Moin 536 Single-vendor single-buyer model under linearly decreasing demand Supadi, S.S 1*, Omar, M Catastrophe Reinsurance Somayeh Nik Manesh 1*, Dr.Noor Azlinna Azizan Determination of Work Done by a Female Student While Carrying Backpack with Different Loads 1 Nor Atikah Ab Ghani and 2 Azmin Sham Rambely 557 viii Contents Proceeding of The 5 th IMT-GT Linearity in Between House Price and Annual Management Fund in High-Rise Residential in Kuala Lumpur, Malaysia N. M. Tawil 1., M. N.Daud 3, A.I. Che-Ani 2, N.A.Goh 2, M.F.M.Zain Fuzzy Conjoint Analysis of Influence Factors in High-Rise Residential Price And Management Fund In Kuala Lumpur, Malaysia N. Mohd-Tawil 1, A.I.Che-Ani 2, Amiruddin Ismail 3, M.M.Tahir 2, M. Jamil Value-based Total Performance Measurement: A Preliminary Review Z. Mustafa 1, N. R. M. Suradi 1, W. R. Ismail 1, K. A. M. Ali 1, Z. M. Ali 1, M. Abdullah 1, F. Idris 2, M. R. Ab Hamid Simple Version of the Linear Business Cycle Model Anton Abdulbasah Kamil 1* and Adam Baharum 2* 577 Modelling The Relationships Between US and Selected Asian Stock Markets 1 Mohd Tahir Ismail*, 2 Rosmanjawati Abdul Rahman 581 Diffusive Logistic

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PRO ICMSA 2009

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Bukit Tinggi : ICSMA., 2009

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xi, 979hal.:ilus.: 32cm

Language

English

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9786029534306

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PRO

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Subject(s)

Mathematic.

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