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ICLS2009 Seoul Korea Table of contents

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<strong>ICLS2009</strong> <strong>Seoul</strong> <strong>Korea</strong><br />

<strong>Table</strong> <strong>of</strong> <strong>contents</strong><br />

June 3(Wed), 2009<br />

[ Keynote Speech 1 ]<br />

K01 "Emerging Trends <strong>of</strong> Supply Chain Management in the United States"<br />

Pr<strong>of</strong>. Hokey Min(Bowling Green State University, USA)<br />

[Opening Ceremony]<br />

Opening Address<br />

Welcome Address<br />

Congratulatory address<br />

[ Keynote Speech 2 ]<br />

K02 "A World Class Supply Chain Management Strategy from the Experience in Singapore"<br />

Pr<strong>of</strong>. Mark Goh(National University <strong>of</strong> Singapore)<br />

[Supply Chain Strategy 1]<br />

A01( icls011)<br />

A Study <strong>of</strong> Strategic optimization for Logistics & SCM in Automotive industry<br />

Nyeonsik Choi, Gyunghyun Choi(Hanyang University, <strong>Korea</strong>)<br />

A02(icls029)<br />

Success Factor Analysis <strong>of</strong> Supplier Development : A Case study <strong>of</strong> Hard Disk Drive manufacturer in<br />

Thailand<br />

Arunee Eiampreecha, Montalee Sasananan(Thammasat University, Thailand)<br />

A03( icls038)<br />

Roles <strong>of</strong> Senior Executives for Global Supply Chain Management: A Brief Review and Illustrations<br />

Paul Hong(University <strong>of</strong> Toledo, USA), He-Boong Kwon Concord University, USA), Youngwon Park Waseda<br />

University, Japan), Jihye Lee SK Research Institute, <strong>Korea</strong>)<br />

A04( icls046)<br />

Supplier Selection for Strategic Purchasing and the case study <strong>of</strong> a South <strong>Korea</strong>n Elevator<br />

Manufacturer<br />

Dong Myung Lee(Konkuk University, <strong>Korea</strong>), Paul R. Drake(University <strong>of</strong> Liverpool Management School,<br />

UK)


A05(icls049)<br />

Smart Label-supported Autonomous Supply Chain Control in the Apparel Industry<br />

Scholz-Reiter, B.; Teucke, M.; Özsahin, M.-E.; Sowade(University <strong>of</strong> Bremen, Germany)<br />

[Supply Chain Performance 1]<br />

B01(icls014)<br />

Measuring the bullwhip effect in a supply chain with stochastic lead time and seasonal ARMA<br />

demand processes<br />

Dong Won Cho, Young Hae Lee(Hanyang University, <strong>Korea</strong>)<br />

B02(icls017)<br />

A Study on the Effectiveness <strong>of</strong> Vendor-managed Inventory in the Two-echelon Retail Supply Chains<br />

Sung-Chul Hong( CJ GLS Inc., <strong>Korea</strong>),Yang-Byung Park( Kyung Hee University, Rep. <strong>of</strong> <strong>Korea</strong>)<br />

B03(icls109)<br />

Analyzing the Dysfunction <strong>of</strong> Shared Information<br />

Yongwon Seo(Chung-Ang University, <strong>Korea</strong>)<br />

B04(icls054)<br />

A Study <strong>of</strong> Business Performance through Key Performance Indicators (KPIs) in Thai Garment<br />

Industry<br />

Suthathip Suanmali, Ekkprawatt Phong-arjarn, Chawalit Jeenanunta,Veeris Ammarapala(Thammasat<br />

University, Thailand), Kornthip Watcharapanyawong(Kasetsart University,Thailand)<br />

B05(icls070)<br />

On Evaluation and Improvement <strong>of</strong> Supplier Performance: An Effort for Mapping the Management<br />

Knowledge<br />

Arief A.R. Setiawan, Hiroshi Katayama(Waseda University, Japan)<br />

[Logistics Planning & Control 1]<br />

C01(icls019)<br />

Logistic <strong>of</strong> Household Hazardous Waste in Thailand,Case study: Nontaburi Province<br />

Sirawan Ruangchuay Tuprakay(Suan Dusit Rajabhat University, Thailand),<br />

Seree Tuprakay(Ramkhamhaeng University, Thailand)


C02( icls056)<br />

Theory <strong>of</strong> Constraints for Recycling Automobile Tires in the Reverse Logistics System<br />

Yuxiang Yang(Zhejiang University <strong>of</strong> Technology, P.R.China),<br />

Hokey Min(Bowling Green, USA), Gengui Zhou((Zhejiang University <strong>of</strong> Technology, P.R.China)<br />

C03( icls057)<br />

A Study <strong>of</strong> Efficient Recovery Methods for Consumer Electronic End-<strong>of</strong>-Life products in <strong>Korea</strong> and<br />

Japan<br />

Hyunsoo Kim, Daehee Han (Kyonggi University, <strong>Korea</strong>),<br />

Yuji Yano, Gyeonghwa Hong(Ryutsu Keizai University)<br />

C04(icls062)<br />

Logistics Competitiveness in Emerging Countries:the VISTA Case<br />

Yen-Chun Jim Wu(National Sun Yat-Sen University, Taiwan) ,<br />

Hsiao-Ting Huang(National Kaohsiung First University <strong>of</strong> Science & Technology, Taiwan)<br />

C05(icls067)<br />

Factor Analysis on Overseas Offshoring <strong>of</strong> Japanese Automotive Industry by Logit Model<br />

Hisashi Isahaya(Waseda University, Japan), Shunpei Osawa, Norio Ishiwatari, Mitsunobu Yoshino,Osamu<br />

Kurashige(Sankyu Inc., Japan)Hiroshi Katayama( Waseda University, Japan)<br />

[Emerging Technologies for Airport Operation]<br />

D01(icls127)<br />

Efficient ETV Systems For Air Cargo Terminals<br />

Sanghyeon Kim, Junjae Chae, Yoonseok Chang(<strong>Korea</strong> Aerospace University, <strong>Korea</strong>)<br />

D02(icls128)<br />

Airside Movable Objects Pattern Analysis based on Multi-dimensional Clustering<br />

Sang-Hyun OH(Java Information Technology Co., <strong>Korea</strong>),<br />

Jae-Hyun HAN(The <strong>Korea</strong> Transport Institute, <strong>Korea</strong> )<br />

D03(icls129)<br />

Time Delay Reduction System for GSE vehicles in Airside<br />

Jae-Hyun HAN , Yo-Sik KIM(The <strong>Korea</strong> Transport Institute, <strong>Korea</strong>)<br />

D04(icls130)<br />

RFID application environment for air cargo operation<br />

Yoon Seok Chang, Min Gyu Son(<strong>Korea</strong> Aerospace Univ., <strong>Korea</strong>), Doo Won Lee(KPC, <strong>Korea</strong>)


[Supply Chain Strategy 2]<br />

A06( icls050)<br />

Critical factors and barriers in the implementation <strong>of</strong> customer relationship management<br />

Chien-Ta Bruce Ho(National Chung Hsing University, Taiwan),<br />

Kevin Cheng, Bose Sanjoy (New York Institute <strong>of</strong> Technology, United Arab Emirates)<br />

A07( icls058)<br />

Valuing Supply Contract under Real Options Approaches<br />

Phounsakda Phimphavong, Matsumaru Masanobu(Tokai University, Japan)<br />

A08(icls065)<br />

Relevance <strong>of</strong> Lean Management for Global Operations -Issues Learnt from Cambridge Lean<br />

Management Workshop-<br />

Hiroshi Katayama (Waseda University, Japan)<br />

A09(icls085)<br />

Effect <strong>of</strong> Initial Conditions <strong>of</strong> Beer Game in a Supply Chain<br />

Kyoung Jong Park(Gwangju University, <strong>Korea</strong>)<br />

A10(icls090)<br />

Elucidating the effect <strong>of</strong> outsourcing on the supplier relationship<br />

Kevin Shihping Huang (National Sun Yat-sen University, Taiwan),<br />

Yu-Tang Lo ( National Sun Yat-sen University, Taiwan),<br />

Lopin Kuo (Tamkang University, Taiwan)<br />

A11( icls091)<br />

SCM – Quick Implementation to Compete in the Crisis Time. Case Study in Telecom Company<br />

Adelaide dos Santos Figueiredo, José Eduardo Fernandes(Universidade Católica de Brasília, Brazil)<br />

[Supply Chain Performance 2]<br />

B06(icls071)<br />

Improvement <strong>of</strong> Supply Performance between Parts Warehouse and Assembly Plant through<br />

Simulation :Lean Initiatives in Design and Operation <strong>of</strong> Automotive Parts Logistics<br />

Chong Wei Chua( Waseda University, Japan), Yousuke Takahashi (Honda Motor Co., Ltd), Hiroshi<br />

Katayama( Waseda University, Japan)<br />

B07(icls105)


Supply Chain Dynamic Network Equilibrium Model with Electronic Commerce<br />

Li Chunfa, Xu Shiqin, Li Hongwei(Tianjin University <strong>of</strong> Technology, P.R.China)<br />

B08( icls118)<br />

Congestion Analysis through Empirical Survey <strong>of</strong> Container Terminal Gate<br />

Hyung Rim Choi, Jae Joong Kim, Jung Rock Shon, Sung Pill Choi, Chae Soo Kim, Joong Jo Shin(Dong-A<br />

University, <strong>Korea</strong>)<br />

B09(icls093)<br />

Analyzing IOS Impact from SME Supplier Perspective<br />

Choi Young-Jin ( Eulji University, <strong>Korea</strong>) Hyun-Soo Han(Hanyang University, <strong>Korea</strong>)<br />

B10( icls098)<br />

An Empirical Study on Trust, Relationship Behavior and Firm Performance in Global Supply Chain <strong>of</strong><br />

<strong>Korea</strong>n IT Exporting Firms<br />

Hee Cheol Moon(Chungnam National University, <strong>Korea</strong>),<br />

Beom-Soo Park (Electronics and Technology Research Institute, <strong>Korea</strong>),<br />

Jing Xing(Chungnam National University, <strong>Korea</strong>)<br />

B11(icls013)<br />

Multilevel Postponement: Collaborating For Extreme Product Flexibility with High Inventory Turns<br />

William T. Walker(StarTrak Systems, LLC, Morris Plains, New Jersey, USA)<br />

[Logistics planning & Control 2]<br />

C06(icls073)<br />

Reverse Logistics for End-<strong>of</strong>-Life Consumer Electronic Appliances in <strong>Korea</strong><br />

Tai Woo Chang, Tae Young Hur, Hyun Soo Kim(Kyonggi University, <strong>Korea</strong>)<br />

C07( icls084)<br />

Real-time logistic process invocation based on RFID events using CEP engine<br />

Shuzhu Zhang , Hyerim Bae(Pusan National University, <strong>Korea</strong>)<br />

C08( icls080)<br />

Service Planning <strong>of</strong> an Air Cargo Distribution Center with Discrete Event Simulation<br />

Henry Y. K. Lau, Bill K. P. Chan(The University <strong>of</strong> Hong Kong),<br />

Steve K. K. Chan(Hong Kong Air Cargo Terminals Limited, Hong Kong)


C09(icls095)<br />

Lean Logistics Service Providers: Option or Utopia? Experiences from the Netherlands<br />

Job de Haan, Mark Overboom ,Fons Naus(Tilburg University, Netherlands)<br />

C10( icls119)<br />

Exploring Reserve logistics in the Computer Industry – Australian Case Studies<br />

Shams Rahman, William Ong(RMIT University, Australia)<br />

C11( icls115)<br />

Research and Application on Visual Simulation <strong>of</strong> Production Logistics System <strong>of</strong> Coal Mine<br />

Feng Xiwen(Shandong University <strong>of</strong> Science and Technology, China)<br />

Zhao Zhongling(Shandong University <strong>of</strong> Science and Technology, China)<br />

Qu Mianyou(Shandong University <strong>of</strong> Science and Technology, China)<br />

[Modeling & Optimization]<br />

D05(icls018)<br />

A Subproblem Based Compromised Large-Scale Neighborhood Heuristic for Capacitated Air-Cargo<br />

Loading Planning with Fixed Commissions<br />

Yanzhi Li(City University <strong>of</strong> Hong Kong), Yi Tao Fan Wang(Sun Yat-Sen University, China)<br />

D06(icls020)<br />

An Integer Programming Formulation <strong>of</strong> a University Timetabling Problem<br />

Khaled El-Sahli, Fatma Kablan( Garyounis University, Libya)<br />

D07(icls022)<br />

Economic Production Lots for Deteriorating Items with Investing on Production Processes<br />

Ping-Hui Hsu(De Lin Institute <strong>of</strong> Technology, Taiwan),<br />

Hui-Ming Teng(Chihlee Institute <strong>of</strong> Technology, Chung Yuan Christian University, Taiwan),<br />

Hui Ming Wee(Chung Yuan Christian University, Taiwan)<br />

D08(icls030)<br />

Planning <strong>of</strong> Loading-Unloading Spaces Based on Agent-Based Simulation<br />

Yuichi Oyama(Kanagawa Institute <strong>of</strong> Technology, Japan),<br />

Shingo Wakamatsu(CATS CO.,LTD. Japan),<br />

Nobunori Aiura(Kanagawa Institute <strong>of</strong> Technology, Japan),<br />

Yutaka Karasawa(Kanagawa University, Japan), Shigeyuki Yamabe(Tokyo University, Japan)


D09(icls031)<br />

Development <strong>of</strong> Sales Forecasting Model for Farmers’ Markets<br />

Ma Xin,Uetake Toshifumi, Horikawa Mitsuyoshi, Takeno Takeo, Sugawara Mitsumasa (Iwate Prefectural<br />

University, Japan)<br />

D10(icls034)<br />

Optimal Ordering Decisions with Returns and Shortages Backordering<br />

Hui-Ming Teng(Chihlee Institute <strong>of</strong> Technology, Chung Yuan Christian University, Taiwan),<br />

Ping-Hui Hsu ( De Lin Institute <strong>of</strong> Technology, Taiwan)<br />

Yu-Fang Chiu,Hui Ming Wee(Chung Yuan Christian University, Taiwan)<br />

June 4(Thu), 2009<br />

[ Keynote Speech 3 ]<br />

K03 "Meeting Supply Chain Challenges in Global Economic Stress"<br />

Pr<strong>of</strong>. Ik-Whan G. Kwon(Saint Louis University)<br />

[ Keynote Speech 4 ]<br />

K04 "Sustainable Supply Chain: Concept and Perspective"<br />

Pr<strong>of</strong>. Bongju Jeong(Yonsei University)<br />

[ Keynote Speech 5 ]<br />

K05 " Green SCM in turbulent economy”<br />

Mr. Won Joon Hyoung(CEO & President, SAP <strong>Korea</strong>)<br />

[Vehicle Routing and Transportation 1]<br />

A12(icls074)<br />

An Adaptive Memetic Algorithm for Dynamic Vehicle Routing Problems<br />

Hongfeng Wang(Northeastern University, P. R. China), Il-Kyeong Moon(Pusan National University, <strong>Korea</strong>),<br />

Dingwei Wang(Northeastern University, P. R. China)<br />

A13(icls075)<br />

A Study on Dock Door Assignment for Cross-docking Terminal with Multiple estinations in a Single<br />

Dock<br />

Ferdinand Friska Natalia, Geun Hwa Song, Hae Kyeong Lee, Chang Seong Ko (Kyungsung University,<br />

<strong>Korea</strong>)


A14(icls092)<br />

Genetic Algorithm for Workload Capacity Planning with Stochastic Service Time<br />

Chawalit Manisri(Sripatum University, Thailand)<br />

A15( icls076)<br />

Heuristic Procedure for Vehicle Routing Problem with Manual Materials Handling (VRPMMH)<br />

Prachaya Boonprasurt, Suebsak Nanthavanij(Thammasat University, Thailand)<br />

A16(icls068)<br />

Solving a Vehicle Routing Problem with Uncertain Number <strong>of</strong> Vehicles and Time Windows by Multiobjective<br />

Genetic Algorithm<br />

Shunsuke Suganuma, ReaKook Hwang(Waseda University, Japan),<br />

Shunpei Osawa, Norio Ishiwatari, Mitsunobu Yoshino,<br />

Osamu Kurashige(Sankyu Inc., Japan), Hiroshi Katayama(Waseda University, Japan)<br />

[Logistics Network]<br />

B12( icls023)<br />

A Boltzmann random key-based Genetic Algorithm for Flexible Logistics Network Model with<br />

Inventory<br />

Shinichiro Ataka, Byungki Kim, Mitsuo Gen(Waseda University, Japan)<br />

B13(icls024)<br />

Designing Multi-product and Multi-time Period Logistics Network with Inventory by Hybrid Genetic<br />

Algorithm<br />

Mitsuo Gen, Su-jin Jin, Jeong-eun Lee(Waseda University, Japan)<br />

B14(icls026)<br />

Genetic Algorithm for Reverse Logistics Networks Problem in Product Reuse System: A Case Study<br />

Jeong-Eun Lee, Mitsuo Gen(Waseda University, Japan ),<br />

Kyong-Gu Rhee(Dongeui University, <strong>Korea</strong>)<br />

B15(icls035)<br />

Advantage Analysis <strong>of</strong> the Global Supply Network Configuration using Air-Cargo Logistics Center in<br />

the Free Trade Zone<br />

Jun-Der Leu, Yu-Tsung Huang(National Central University, Taiwan)<br />

B16( icls116)<br />

Simulation Analysis on the Air Cargo Network<br />

Dongjin Ko, Kwanryul Lee, Chulung Lee(<strong>Korea</strong> University, <strong>Korea</strong>)


[Planning & Scheduling 1]<br />

C12(icls088)<br />

Spatial Characteristics in Aggregate and Dump Truck Industry<br />

Seung-Bum Ahn, Won-Dong Lee, S. Y. Lim(Univ. <strong>of</strong> Incheon, <strong>Korea</strong>)<br />

C13( icls027)<br />

Quay Crane Scheduling considering Yard Cranes Workload by Multiobjective Genetic Algorithm<br />

Yang Yang(Waseda University, Japan), Kap Hwan Kim(Pusan National University),<br />

Mitsuo Gen(Waseda University, Japan)<br />

C14(icls048)<br />

Optimization Model <strong>of</strong> Hydro and Thermal Electricity Generation System for Daily Load Dispatch<br />

Scheduling<br />

Anwida Prompijit, Chawalit Jeenanunta, Aussadavut Dumrongsiri, Somrote Komolavanij,<br />

Pisal Yenradee(Thammasat University, Thailand)<br />

C15(icls053)<br />

Improve: A New Approach for Solving the Machine Part Cell Formation Problem<br />

Houda Elmogassabi(Garyounis University, Libya)<br />

C16(icls066)<br />

A Procedure for Kaizen Case Development with Related Technology Assets: A Case <strong>of</strong> Visual<br />

Management<br />

Koichi Murata(Waseda University, Japan), Takashi Imamura(Yamatake Corporation, Japan),<br />

Hiroshi Katayama(Waseda University, Japan)<br />

[Vehicle Routing and Transportation 2]<br />

D11(icls096)<br />

Effect <strong>of</strong> Getting Backhaul Loads in Short-to-Medium Range Transportation<br />

Keizo Wakabayashi, Akihiro Watanabe(Nihon University, Japan),<br />

Yu Fujita(SANNO University, Japan), Yutaka Karasawa(Kanagawa University, Japan),<br />

Susumu Ishii(Nihon University, Japan)


D12(icls097)<br />

Effect Analysis <strong>of</strong> Abandonment pallet Causing at Public Truck Terminal by VSP Method<br />

Akihiro Watanabe, Keizo Wakabayashi(Nihon University, Japan),<br />

Yu Fujita(SANNO University, Japan), Yutaka Karasawa(Kanagawa University, Japan),<br />

Susumu Ishii(Nihon University, Japan)<br />

D13(icls059)<br />

An Analysis on the Preference for Mutual Development <strong>of</strong> Busan North Port and New Port<br />

Gyeong-Gu Lee(<strong>Korea</strong> Maritime University, <strong>Korea</strong>), Ju Tae Kan(Busan Port Authority, <strong>Korea</strong>)<br />

Ki-Chan Nam, Kyu-Seok Kwak(<strong>Korea</strong> Maritime University, <strong>Korea</strong>)<br />

D14(icls060)<br />

Performance analysis <strong>of</strong> quay crane systems in seaport container terminals<br />

Pyung Hoi Koo(Pukyong National University, <strong>Korea</strong>)<br />

D15(icls079)<br />

A Hybrid Evolutionary Algorithm for Optimal Container Repositioning<br />

Henry Y. K. Lau(The University <strong>of</strong> Hong Kong, Hong Kong)<br />

Eugene Y. C. Wong(Orient Overseas Container Line Limited, Hong Kong)<br />

[Plant & Warehouse Management]<br />

A17(icls125)<br />

Warehouse Optimization with Visibility : Heesuk Kang(emFrontier)<br />

A18( icls041)<br />

Towards a Sustainable RFID Value in the Supply Chain: RFID based performance management<br />

Yoon Min Hwang, Jae Jeung Rho(<strong>Korea</strong> Advanced Institute <strong>of</strong> Science and Technology, <strong>Korea</strong>)<br />

A19(icls131)<br />

Pantos change logistics: K.C.Park (Pantos Logistics Co.,Ltd., <strong>Korea</strong>)<br />

A20(icls078)<br />

Determining the Number <strong>of</strong> Logistics Resources in Warehouse System Using Simulation: A case<br />

study<br />

Dong Sik Kim , Young Hae Lee, Dong Won Cho( Hanyang University, <strong>Korea</strong>)


A21(icls083)<br />

A Basic Research for an Opportunity Loss <strong>of</strong> the Automated Warehouse Caused by Distribution<br />

Y. Nakama(Sumitomo Heavy Industry, Japan), Y. Karasawa(Kanagawa University, Japan)<br />

K. Wakabayashi(Nippon University, Japan),<br />

N. Aiura(Kanagawa Institute <strong>of</strong> Technology, Japan)<br />

A22(icls101)<br />

Performance Comparison <strong>of</strong> Different Warehouse Layouts under a Class-based Storage Policy<br />

Natanaree Sooksaksun, Voratas Kachitvichyanukul(Asian Institute <strong>of</strong> Technology, Thailand), Dah-Chuan<br />

Gong(Chung Yuan Christian University, Taiwan)<br />

A23(icls077)<br />

Use <strong>of</strong> RFID and Activity-Based Costing in Direct Labor Budgeting<br />

Lawrence Yang(Youric Consultant, Inc., Taiwan ),<br />

Yen-Chun Jim Wu(National Sun Yat-Sen University, Taiwan)<br />

[Supply Chain Strategy & Risk Management]<br />

B17( icls040)<br />

An Entropy Approach to Assessment <strong>of</strong> Small-Businesses’ Credit Based On Daily Transaction Data<br />

DONG Yanwen, HAO Xiying(Fukushima University, Japan)<br />

B18(icls124)<br />

SCM Success Factors and Performance regarding Middle and Down Streams <strong>of</strong> Textiles and Fashion<br />

Business<br />

Sangmoo Shin(Soongsil University, <strong>Korea</strong>), Jin-Hyeok Choe(Soongsil University, Graduate school, <strong>Korea</strong>)<br />

B19(icls104)<br />

Materials management for remanufacturing purpose in closed loop supply chain<br />

Paulina Golinska(Poznan University <strong>of</strong> Technology, Poland)<br />

B20(icls121)<br />

A Review <strong>of</strong> the Roles <strong>of</strong> Suppliers in Large Scale System Integration: A Proposal for New<br />

Paradigm for Supply Chain Management<br />

Seong-Jong Joo(Colorado State University-Pueblo,USA), Ik-Whan G. Kwon(Saint Louis University, USA),<br />

Seock-Jin Hong(Bordeaux Management School, France)<br />

B21(cls015)<br />

Risk Management for Logistics Outsourcing under Public Emergency<br />

FENG Shaojuan, HU Zhenbang(Wuhan Economics Institute, China)


B22(icls037)<br />

Effective Governance <strong>of</strong> Global Supply Chain Risks: A Research Framework and Lessons from Case<br />

Studies<br />

Paul Hong(University <strong>of</strong> Toledo, USA), Youngwon Park, Hideaki Miyajima(Waseda University, Japan), Sachin<br />

Modi(University <strong>of</strong> Toledo, USA),Takeshi Abe(Parametric Technology Co., Japan)<br />

[Planning & Scheduling 2]<br />

C17(icls069)<br />

A Performance Evaluation <strong>of</strong> Job Sequencing for Mixed-model Assembly Line: A Comparison with<br />

Target Chasing Method<br />

Rea Kook Hwang , Hiroshi Katayama(Waseda University, Japan)<br />

C18(icls081)<br />

Multi-Chip Package (MCP) Scheduling Problem in Semiconductor Manufacturing<br />

Yong-Hee Han ( Samsung Electronics, <strong>Korea</strong>), Jin Young Choi(Ajou University, <strong>Korea</strong>)<br />

C19(icls082)<br />

SCM Approach to the Mixed-model Sequencing Problem<br />

Shusaku Hiraki(Hiroshima Shudo University, Japan)<br />

C20(icls086)<br />

Batch family scheduling model under setup and maintenance constraints in the Semiconductor<br />

manufacturing<br />

Jun-Ho Lee, Sun Hoon Kim, Young Hoon Lee(Yonsei University, <strong>Korea</strong>)<br />

C21(icls126)<br />

Design and Implementation <strong>of</strong> Workflow Based Yard Management System<br />

Dong Won Cho, Young Hae Lee, Hyun Jin Hwang(Hanyang University, <strong>Korea</strong>)<br />

C22(icls120)<br />

A comparative study on the perception <strong>of</strong> logistics service quality by shippers, logistics service<br />

providers and service type<br />

Pal-Seon Jang,Oh Kyoung Kwon(Inha University, <strong>Korea</strong>)


[Vehicle Routing and Transportation 3]<br />

D16(icls112)<br />

<strong>Korea</strong>’s Port Development Strategy to be a World Top-class Hub Port in Global SCM<br />

Gim Jin-Goo(LSE INSTITUTE, <strong>Korea</strong>)<br />

D17(icls039)<br />

Algorithm for the Multi-Objective Vehicle Routing Problem with Time Windows<br />

Tharinee Manisri(Sripatum University, Thailand),<br />

Anan Mungwattana(Kasetsart University, Thailand), Gerrit K. Janssens(Hasselt University, Belgium)<br />

D18(icls102)<br />

Key Elements <strong>of</strong> Cross-border Transportation Infrastructure: A Comprehensive Approach <strong>of</strong> Logistics<br />

Infrastructure Development<br />

Pichet Sooksaksun, Wutthipong Moungnoi, Santi Charoenpornpattana(King Mongkut’s University <strong>of</strong><br />

Technology Thonburi, Thailand)<br />

D19(icls108)<br />

Container Terminal Location Model Using Set-covering Method<br />

Suk Tae Bae, Ki Wook Lee, Chang Sung Ha,Heung Suk Hwang(TongMyong Univ., <strong>Korea</strong>)<br />

D20(icls055)<br />

Innovative load carrier management solution for seaport terminals<br />

-based on positioning, identification and communication technologies-<br />

Bernd Scholz-Reiter, Marc-André Isenberg, Anne Virnich, Mehmet-Emin Özsahin(University <strong>of</strong> Bremen,<br />

Germany)<br />

D21(icls113)<br />

A Study <strong>of</strong> e-RTGC Introduction Effects in the Container Terminal: Based on D Container Terminal<br />

Case Study<br />

Hyung Rim Choi, Yong Sung Park, Moo Hong Kang, Seung Hong Lee, Hee Yoon Kim,<br />

Ki Nam Choi(Dong-A University, <strong>Korea</strong>)


The 5th International Congress on Logistics and SCM Systems(<strong>ICLS2009</strong>)<br />

Algorithm for the Multi-Objective Vehicle Routing<br />

Problem with Time Windows<br />

Tharinee Manisri *A , Anan Mungwattana *B , and Gerrit K. Janssens *C<br />

*A Sripatum University, Thailand, e-mail:tharinee_i@hotmail.com<br />

*B Kasetsart University, Thailand, e-mail:fenganm@ku.ac.th<br />

*C Hasselt University, Belgium, e-mail: gerrit.janssens@uhasselt.be<br />

Abstract<br />

This paper focuses on an algorithm for the<br />

vehicle routing problem with time windows<br />

(VRPTW). It involves servicing a set <strong>of</strong> customers,<br />

with earliest and latest time deadlines, a constant<br />

service time including when the vehicle arrives to the<br />

customers. The demands are served by capacitated<br />

vehicles with limited travel times to return to the<br />

depot. The purpose <strong>of</strong> this research is to develop a<br />

hybrid algorithm that includes a heuristic, a local<br />

search and a meta-heuristic algorithm to solve<br />

optimization problems with multiple objectives. The<br />

first priority aims to find the minimum number <strong>of</strong><br />

vehicles required and the second priority aims to<br />

search for the solution that minimizes the total travel<br />

time. The algorithm performances are measured with<br />

two criteria: quality <strong>of</strong> solution and running time.<br />

A set <strong>of</strong> well-known benchmark data and the<br />

genetic algorithm are used to compare the quality <strong>of</strong><br />

solution and running time <strong>of</strong> the algorithm,<br />

respectively. The algorithm is applied to solve the<br />

Solomon’s 56 VRPTW benchmarking problems<br />

which have 100-customer instances. The results show<br />

that 22 solutions are better than or competitive as<br />

compared to the best solutions <strong>of</strong> the Solomon<br />

benchmark problem instances. The running time<br />

results display that the hybrid algorithm has higher<br />

performance than the genetic algorithm when the<br />

number <strong>of</strong> customers less than 25 nodes.<br />

Keywords: Vehicle routing problem with time<br />

windows, Heuristic, Local search, Meta-heuristic<br />

1. Introduction<br />

The vehicle routing problem (VRP) is an<br />

operational decision problem for the delivery <strong>of</strong><br />

goods from a depot to customers by a fleet <strong>of</strong><br />

vehicles. The vehicle routing problem with time<br />

windows (VRPTW) is an extension <strong>of</strong> the VRP with<br />

earliest, latest, service times for customers and travel<br />

times.<br />

The objective is to minimize the number <strong>of</strong><br />

vehicles and the total travel time to service the<br />

customers by using an evolutionary hybrid algorithm.<br />

This paper proposes a multi-objective algorithm that<br />

incorporates a heuristic, local search and a<br />

meta-heuristic for solving the multi-objective<br />

optimization in VRPTW. The algorithm is designed<br />

by the modified push-forward insertion heuristic<br />

(MPFIH), a λ-interchange local search descent<br />

method (λ-LSD) and tabu search (TS). The route is<br />

constructed based on the MPFIH as initial solution<br />

which is improved by using the λ-LSD and TS. The<br />

constraints <strong>of</strong> the problem are to service all the<br />

customers within the earliest and latest service time<br />

<strong>of</strong> the customer without exceeding the route time <strong>of</strong><br />

the vehicle and overloading the vehicle. The route<br />

time <strong>of</strong> the vehicle is defined as the sum <strong>of</strong> the<br />

waiting times, the service times and the travel times.<br />

A vehicle that reaches a customer before the earliest<br />

time, after the latest time and after the maximum<br />

route time incurs waiting time, tardiness time and<br />

overtime, respectively. The total <strong>of</strong> the customer<br />

demands in each route can not exceed the total<br />

capacity <strong>of</strong> the vehicle.<br />

The rest <strong>of</strong> this paper is organized as follows.<br />

Section 2 reviews relevant VRPTW and algorithms.<br />

Section 3 presents tools and the methods to solve this<br />

problem. Section 4 presents the results and<br />

discussion. Finally, conclusions and future work are<br />

formulated in section 5.<br />

2. Literature Review<br />

The VRPTW arises in retail distribution, school<br />

bus routing, mail and newspaper delivery, airline and<br />

railway fleet routing and scheduling. It is well-known<br />

and complex combinatorial problem with<br />

considerable economic significance [1]. Savelsbergh<br />

[2] has shown that finding a feasible solution to the<br />

traveling salesman problem with time windows<br />

(TSPTW) is a NP-complete problem. Therefore the<br />

VRPTW is more complex as it involves servicing<br />

customers with time windows using multiple vehicles<br />

that vary with respect to the problem. By this case,<br />

almost researchers tend to heuristic and metaheuristic<br />

methods which <strong>of</strong>ten produce optimal or<br />

near optimal solutions in a reasonable amount <strong>of</strong><br />

computer time. Thus, there is still a considerable<br />

interest in the design <strong>of</strong> new heuristics for solving<br />

large-sized practical VRPTW.<br />

Evaluation <strong>of</strong> any heuristic and meta-heuristic<br />

method is subject to the comparison <strong>of</strong> a number <strong>of</strong>


The 5th International Congress on Logistics and SCM Systems(<strong>ICLS2009</strong>)<br />

criteria that relate to various aspects <strong>of</strong> algorithm<br />

performance [3]. Examples <strong>of</strong> such criteria are<br />

running time, quality <strong>of</strong> solution, ease <strong>of</strong><br />

implementation, robustness and flexibility [4].<br />

Almost all algorithms for the VRPTW use route<br />

construction, route improvement or methods that<br />

integrate both route construction and route<br />

improvement. Solomon [5] designed and analyzed a<br />

number <strong>of</strong> route construction heuristics, namely: the<br />

savings, time-oriented nearest neighbor insertion and<br />

a time oriented sweep heuristic for solving the<br />

VRPTW. In his study, the time-oriented nearest<br />

neighbor insertion heuristic has shown to be very<br />

successful. Berger and Barkaoui [1] proposed a<br />

parallel version <strong>of</strong> a new hybrid genetic algorithm for<br />

the VRPTW. This approach is based upon the<br />

simultaneous evolution <strong>of</strong> two populations <strong>of</strong><br />

solutions focusing on separate objectives subject to<br />

temporal constraint relaxation. Bräysy and Gendreau<br />

[3] presented a survey <strong>of</strong> the research on the VRPTW.<br />

Both traditional heuristic route construction methods<br />

and recent local search algorithm are examined in<br />

Part I. Meta-heuristics are general solution<br />

procedures that explore the solution space to identify<br />

good solutions and <strong>of</strong>ten embed some <strong>of</strong> the standard<br />

route construction and improvement heuristics [6].<br />

Recently, several researches involve algorithms to<br />

solve the multi-objective VRPTW. The primary<br />

objective is defined as the minimization <strong>of</strong> the<br />

number <strong>of</strong> routes or vehicles. Minimization <strong>of</strong> the<br />

total travel cost is the secondary objective. Qi and<br />

Sun [7] proposed an improved algorithm based on the<br />

ant colony system (ACS), which hybridized with<br />

randomized algorithm (RACS-VRPTW). For this<br />

multi-objective problem, Ombuki et al.[8] presented a<br />

genetic algorithm solution using the Pareto ranking<br />

technique. An advantage <strong>of</strong> this approach is that it is<br />

unnecessary to derive weights for a weighted sum<br />

scoring formula. An evolutionary algorithm for the<br />

VRPTW was developed by incorporating various<br />

heuristics for local exploitation in the evolutionary<br />

search and the concept <strong>of</strong> Pareto’s optimality [9].<br />

All approaches in the literature are quite<br />

effective, as they provide solutions competitive with<br />

the well-known benchmark data, thus the benchmark<br />

Solomon’s 56 VRPTW instances with 100 customers<br />

[10].<br />

3. Tools and Methods<br />

3.1 Tools<br />

The experiments for the research are run on<br />

personal computer, Pentium 4 3.40 GHz. and using<br />

MATLAB computing s<strong>of</strong>tware.<br />

3.2 Notation<br />

K : total number <strong>of</strong> vehicles, k = 1,2,...<br />

K<br />

: lower bound <strong>of</strong> the number <strong>of</strong> vehicles,<br />

K<br />

LB<br />

where K<br />

N<br />

∑<br />

d<br />

i=<br />

LB<br />

= 2<br />

qk<br />

i<br />

N : total number <strong>of</strong> customers, including the depot<br />

Ci<br />

: customer i , where i = 2,3...,<br />

N<br />

C1<br />

: depot<br />

d<br />

i<br />

: demand <strong>of</strong> customer i<br />

Dk<br />

: total demand for the vehicle k<br />

qk<br />

: capacity <strong>of</strong> vehicle k<br />

tij<br />

: travel time between customer i to customer j<br />

where i , j = 1,...,<br />

N , i ≠ j and i , j = 1 is<br />

depot<br />

ei<br />

: earliest arrival time at customer i<br />

li<br />

: latest arrival time at customer i<br />

Ai<br />

: arrival time to customer i<br />

bi<br />

: service time at customer i<br />

w : waiting time between customer i and j<br />

ij<br />

where w<br />

ij<br />

= max[ e<br />

j<br />

− ( Ai<br />

+ tij<br />

),0]<br />

,<br />

i , j = 2,...,<br />

N and i ≠ j<br />

M<br />

k<br />

: maximum route time, where k = 1,2,...<br />

K<br />

Rk<br />

: vehicle route k , where k = 1,2,...<br />

K<br />

Wk<br />

: total waiting time for vehicle k ,<br />

where k = 1,2,...<br />

K<br />

Bk<br />

: total service time for vehicle k ,where<br />

k = 1,2,...K<br />

Ok<br />

: total overtime for vehicle k ,where<br />

k = 1,2,...K<br />

Lk<br />

: total tardiness for vehicle k ,where<br />

k = 1,2,...K<br />

Tk<br />

: total travel times for vehicle k ,where<br />

k = 1,2,...K<br />

Tot<br />

k<br />

: total travel time for vehicle k ,or<br />

Tot<br />

k<br />

= Tk<br />

+ Wk<br />

+ Bk<br />

where k = 1,2,...<br />

K<br />

α : penalty weight factor for the waiting time<br />

γ : penalty weight factor for the tardiness time<br />

η : penalty weight factor for the overtime


The 5th International Congress on Logistics and SCM Systems(<strong>ICLS2009</strong>)<br />

We consider a set <strong>of</strong> vehicles, K and a set <strong>of</strong><br />

customer nodes, C<br />

i<br />

. We identify C<br />

1<br />

as the depot<br />

node and C = Ci ∪ C1<br />

represent the set <strong>of</strong> all nodes.<br />

Let x be the set <strong>of</strong> the decision variables, they are<br />

evaluated using the function F(x)<br />

as equation (1):<br />

F ( x)<br />

= Tk<br />

+ ( α × Wk<br />

) + ( γ × Lk<br />

) + ( η × Ok<br />

) (1)<br />

3.3 Methods<br />

In this paper develops the hybrid algorithm.<br />

There are two phases <strong>of</strong> this algorithm. The first<br />

phase is route construction heuristic, namely, the<br />

modified push-forward insertion heuristic (MPFIH).<br />

The MPFIH is a heuristic method for inserting a<br />

customer into a route based on push-forward insertion<br />

method <strong>of</strong> Solomon [5] and Thangiah [11][15]. It is<br />

an efficient method for computing the insertion <strong>of</strong> a<br />

new customer into the route. Let us assume a route<br />

R<br />

k<br />

= { Cik<br />

,..., Cmk<br />

} where Cik<br />

is the first set <strong>of</strong><br />

customer and C<br />

mk<br />

is the last set <strong>of</strong> customer in each<br />

route k . The earliest arrival and latest arrival time<br />

are defined as e<br />

ik<br />

, lik<br />

and e<br />

mk<br />

, lmk<br />

respectively.<br />

The number <strong>of</strong> routes k in this method is defined as<br />

the minimum <strong>of</strong> number <strong>of</strong> vehicles that satisfies the<br />

total customer demand. The feasibility <strong>of</strong> inserting a<br />

set <strong>of</strong> customers into route Rk<br />

is checked by inserting<br />

the customer between all the edges in the current<br />

route and selecting the edge that satisfies the vehicle<br />

capacity. The MPFIH algorithm is shown below.<br />

Step1: Sort the customer nodes which have ei<br />

and l<br />

i<br />

by ascending and descending method,<br />

respectively<br />

Step2: Construct the initial matrix, R<br />

k<br />

, where<br />

k = K LB<br />

Step3: Construct the set <strong>of</strong> Clk<br />

and Cmk<br />

which the<br />

first k minimum, ei<br />

and the first k maximum,<br />

l<br />

i<br />

, respectively<br />

Step4: Remove the customer nodes that have been<br />

selected to matrix, R<br />

k<br />

Step5: Select the set <strong>of</strong> Cik<br />

which the next k<br />

minimum, e<br />

i<br />

Step6: Check the feasible route, each row <strong>of</strong> matrix,<br />

R that satisfy the constraints,<br />

D<br />

k<br />

k<br />

m<br />

= ∑ d<br />

i=<br />

l<br />

i<br />

≤ q<br />

Tot ≤ M and L = 0<br />

k<br />

,<br />

k k<br />

If all rows satisfy the constraints go to step7, else<br />

go to step9<br />

Step7: Insert the set <strong>of</strong> Cik<br />

between set <strong>of</strong> C<br />

lk<br />

and<br />

C then repeat step4 to step6<br />

mk<br />

k<br />

Step8: If all <strong>of</strong> set Cik<br />

has been inserted to routes or<br />

matrix, R then the algorithm terminate, else go<br />

to step5<br />

Step9: Select the remainder,<br />

minimum, e<br />

i<br />

k<br />

C<br />

i<br />

which the next<br />

Step10: Check the feasible route, each the remainder<br />

row <strong>of</strong> matrix, R that satisfy the constraints,<br />

D<br />

k<br />

m<br />

= ∑ d<br />

i=<br />

l<br />

i<br />

≤ q<br />

k<br />

Tot ≤ M and L = 0<br />

k<br />

,<br />

k k<br />

If the remainder rows satisfy the constraints go to<br />

step11, else go to step14<br />

Step11: Insert C in the remainder routes or rows <strong>of</strong><br />

R<br />

k<br />

i<br />

matrix,<br />

Step12: Remove the customer nodes that have been<br />

selected and then repeat step9 to step12<br />

Step13: If all <strong>of</strong> C<br />

i<br />

has been inserted to routes or<br />

matrix, Rk<br />

then the algorithm terminates, else go<br />

to step14<br />

Step14: Construct a new route or row <strong>of</strong> matrix,<br />

R +<br />

, where i = 1,2,...,<br />

n and then repeat step9<br />

k<br />

i<br />

to step13<br />

The second phase is the route improvement<br />

method. This algorithm applies local search and a<br />

meta-heuristic based on the concept <strong>of</strong> iteratively<br />

improving the solution to a problem by exploring<br />

neighboring ones. To design a λ-interchange local<br />

search descent method (λ-LSD), one typically needs<br />

to specify the following choices: how an initial<br />

feasible solution is generated, what move-generation<br />

mechanism to use, the acceptance criterion and the<br />

stopping test [3]. The λ-LSD is a type <strong>of</strong><br />

neighborhood search that the set <strong>of</strong> all neighbors<br />

generated by the LSD for a given integer λ equal to 1<br />

and 2. The move generation mechanism creates the<br />

neighboring solutions by the move operators (0, 1),<br />

(1, 0), (1, 1), (0, 2), (2, 0), (1, 2), (2, 1) and (2, 2).<br />

Here attribute could refer, for example, The operator<br />

(0, 1) on routes ( R<br />

p<br />

, Rq<br />

) indicates a shift <strong>of</strong> one<br />

customer from route q to route p . The operator (0,<br />

1), (1, 0), (2, 0) and (0, 2) indicates a shift <strong>of</strong> one or<br />

two customers between two routes. The operator (1,<br />

1), (1, 2), (2, 1) and (2, 2) indicate an exchange <strong>of</strong> a<br />

customer between two routes.<br />

It is a sequential search which selects all possible<br />

combinations <strong>of</strong> different pair <strong>of</strong> routes. The first<br />

generation mechanism was introduced by Osman and<br />

Christ<strong>of</strong>ides [12]. If the neighboring solution is better,<br />

it replaces the current solution and the search<br />

continues. The acceptance strategy, the first best (FB)<br />

is used to selects the first neighbor that satisfies the<br />

pre-defined acceptance criterion.<br />

k


The 5th International Congress on Logistics and SCM Systems(<strong>ICLS2009</strong>)<br />

Fig. 1 The move operator (0, 1)<br />

Fig. 2 The move operator (1, 2)<br />

Then the TS is used as a diversification method<br />

to prevent that the algorithm falls into a local<br />

optimum. The TS is used to swap node or re-arranges<br />

a sequence <strong>of</strong> customers for each route. It is a<br />

memory-based search strategy which guides the local<br />

search descent method (LSD) to continue its search<br />

beyond local optimum [13][14]. When a local<br />

optimum is encountered, a move to the best neighbor<br />

is made to explore the solution space, even if it may<br />

cause <strong>of</strong> deterioration in the objective function value<br />

in equation (1). The TS seeks the best available move<br />

that can be determined in a reasonable amount <strong>of</strong><br />

time. If the neighborhood is large or its elements are<br />

expensive to evaluate, candidate list strategies are<br />

used to help restrict the number <strong>of</strong> solutions<br />

examined on a given iteration. This hybrid algorithm<br />

for the VRPTW can be summarized as follows:<br />

Step1: Construct the travel times matrix, where using<br />

Euclidean distances<br />

Step2: Set the penalty weight factor parameters:<br />

α = 0.01, γ = 0.1 and η = 0.05<br />

Step3: Set the parameters for λ -LSD and TS, the<br />

number <strong>of</strong> iterations = 100 and the length <strong>of</strong> the<br />

tabu list =5<br />

Step4: Obtain an initial MPFIH solution, x<br />

0<br />

Step5: Improve x<br />

0<br />

using the λ -LSD with the<br />

first-best selection strategy and prevent local<br />

optima by using TS<br />

Step6: Evaluate the fitness function<br />

Δ f = F( x′<br />

) − F(<br />

x0)<br />

, when x′ is a possible<br />

solution that satisfies the constraints.<br />

If Δf > 0 then x = x′<br />

else x = x0<br />

Step7: If the stopping criterion is found then<br />

terminate the algorithm else go to step6.<br />

The algorithms’ performance is measured by two<br />

indicators. The first one refers to the quality <strong>of</strong><br />

solution and the second one refers to the computer<br />

run time. The quality <strong>of</strong> the solution is compared with<br />

the best solution published in literature. The computer<br />

run time is hard to compare because there are many<br />

constraints must to considering. According to the type<br />

<strong>of</strong> computer, the type <strong>of</strong> computing s<strong>of</strong>tware and the<br />

environments between runs are used. We select the<br />

best known algorithm, GA for benchmark test<br />

computer run time. GA is an efficient meta-heuristic<br />

method for a range <strong>of</strong> general applications. We design<br />

a GA, using MATLAB computing s<strong>of</strong>tware and the<br />

same type <strong>of</strong> personal computer. We construct a<br />

simple GA involves three types <strong>of</strong> operators, thus,<br />

selection, crossover and mutation in order to solve<br />

VRPTW problems. The comparison shows CPU(s) by<br />

using the Solomon’s 56 VRPTW benchmark<br />

instances with 100 customers.<br />

4. Results and Discussion<br />

To implement the algorithm, we created a source<br />

code using MATLAB computing s<strong>of</strong>tware. We tested<br />

the algorithm on 6 types <strong>of</strong> Solomon’s VRPTW<br />

benchmarking problems including R1, R2, C1, C2,<br />

RC1 and RC2. The experimental runs on 56 VRPTW<br />

instances. All instances have 25, 50 or 100 customer<br />

nodes and a single depot node. First, the quality <strong>of</strong> the<br />

solution is shown in <strong>Table</strong>s 1-3. The comparison<br />

results are separated to two objective functions, the<br />

minimum number <strong>of</strong> vehicles and the minimum total<br />

travel times as follows.<br />

<strong>Table</strong> 1 The hybrid algorithm<br />

Problems<br />

Number <strong>of</strong> customers<br />

25 50 100 All<br />

R1 4.83 8.33 14.58 9.25<br />

482.13 840.82 1391.43 904.79<br />

R2 2.44 4.33 6.82 4.69<br />

487.19 848.61 1321.58 915.85<br />

C1 3.33 5.78 12.78 7.30<br />

289.42 637.04 1755.68 894.05<br />

C2 2.00 3.13 6.88 4.09<br />

279.29 595.30 1332.43 755.51<br />

RC1 3.75 8.25 14.75 8.92<br />

394.56 864.74 1584.88 948.06<br />

RC2 2.50 5.29 7.63 5.13<br />

449.14 972.84 1555.16 993.23


The 5th International Congress on Logistics and SCM Systems(<strong>ICLS2009</strong>)<br />

Note. For each column two average results for<br />

Solomon’s benchmarks are presented. First row in<br />

each problem is the average number <strong>of</strong> vehicles and<br />

second row is the average total travel times. Column<br />

“All” is the average results for all instances.<br />

<strong>Table</strong> 2 The best solutions<br />

Problems<br />

Number <strong>of</strong> customers<br />

25 50 100 All<br />

R1 4.92 7.75 13.08 8.58<br />

463.37 766.13 1178.80 802.77<br />

R2 2.89 4.11 3.09 3.34<br />

381.93 634.03 941.98 672.60<br />

C1 3.00 5.00 10.00 6.00<br />

190.59 361.69 826.70 459.66<br />

C2 2.00 2.75 3.00 2.61<br />

214.44 357.50 587.38 393.92<br />

RC1 3.25 6.50 12.38 7.38<br />

350.24 730.31 1341.39 807.31<br />

RC2 2.88 4.43 4.88 4.04<br />

325.53 585.24 1048.97 656.20<br />

From <strong>Table</strong> 1 and <strong>Table</strong> 2 illustrate the result <strong>of</strong><br />

the hybrid algorithm is effective, as it provides<br />

solutions competitive with best solutions, as well as<br />

new solutions that are not biased toward the number<br />

<strong>of</strong> vehicles. There are some new solutions that better<br />

than Solomon problem instances. They are shown in<br />

<strong>Table</strong> 3.<br />

<strong>Table</strong> 3 New best-computed solutions for some<br />

Solomon benchmark problem instances<br />

Best solutions New best solutions<br />

Problems<br />

Travel<br />

Travel<br />

Vehicles<br />

Vehicles<br />

Times<br />

Times<br />

R101.25 8 617.1 7* 613.2*<br />

R102.25 7 547.1 5* 494.7*<br />

R110.25 4 444.1 4 433.5*<br />

R111.25 5 428.8 4* 471.3<br />

R102.50 11 909 9* 932.9<br />

R103.50 9 772.9 8* 823.3<br />

R101.100 20 1637.7 17* 1915.5<br />

R102.100 18 1466.6 17* 1694.3<br />

R201.25 4 463.3 3* 577.1<br />

R203.25 3 391.4 2* 468.3<br />

R207.25 3 316.6 2* 457<br />

R210.25 3 404.6 2* 513.1<br />

R203.50 5 605.3 4* 822.2<br />

R210.50 4 645.6 3* 767.7<br />

C205.50 3 359.8 2* 493.8<br />

C206.50 3 359.8 2* 574.4<br />

RC101.25 4 461.1 4 439.4*<br />

RC203.25 3 326.9 2* 462.2<br />

RC204.25 3 299.7 2* 406.5<br />

RC206.25 3 324 2* 488.8<br />

RC207.25 3 298.3 2* 403.2<br />

RC203.50 4 555.3 3* 780.3<br />

Note. * is the new best objective<br />

The results from <strong>Table</strong> 3 show 22 new best<br />

solutions. There are 20 solutions in the first objective<br />

(minimum number <strong>of</strong> vehicles) and 4 solutions in the<br />

second objective better than or competitive as<br />

compared to the best solutions in Solomon’s<br />

benchmark problem instances.<br />

The computer run time comparison between the<br />

hybrid algorithm and GA is shown in Fig. 3.<br />

Avg.CPU(s)<br />

35000<br />

30000<br />

25000<br />

20000<br />

15000<br />

10000<br />

5000<br />

0<br />

Computer Run Time Comparison<br />

R1_25<br />

R2_25<br />

C1_25<br />

C2_25<br />

RC1_25<br />

RC2_25<br />

R1_50<br />

R2_50<br />

C1_50<br />

C2_50<br />

RC1_50<br />

RC2_50<br />

R1_100<br />

R2_100<br />

C1_100<br />

C2_100<br />

RC1_100<br />

RC2_100<br />

Problems<br />

Fig. 3 Computer run time comparison<br />

Hybrid<br />

GA<br />

The results show a trend. The hybrid algorithm<br />

shows higher performance than the GA when the<br />

number <strong>of</strong> customers is lower than 25 nodes. The<br />

performance <strong>of</strong> the algorithm is lower than the GA<br />

when the number <strong>of</strong> customers increases over 50<br />

nodes. The number <strong>of</strong> customers is an important<br />

factor in the performance <strong>of</strong> the hybrid algorithm but<br />

it has little effect in the GA. It is reasonable cause<br />

because <strong>of</strong> the main structure <strong>of</strong> the hybrid algorithm<br />

is local search algorithm, otherwise, GA is random<br />

search. This result demonstrates the effectiveness <strong>of</strong><br />

the hybrid algorithm in the quality <strong>of</strong> solution more<br />

than running time. However, if the problem has the<br />

numbers <strong>of</strong> customers not exceed 25 nodes. The<br />

algorithm might be hold in this case and more<br />

effectiveness than GA.<br />

In addition to the results, the types <strong>of</strong> problem<br />

which have a significant effect to computer run time<br />

<strong>of</strong> the algorithm, are <strong>of</strong> Type1: R1, C1 and RC1 (short<br />

scheduling horizon) and <strong>of</strong> type2: R2, C2 and RC2<br />

(long scheduling horizon). The algorithm consumes<br />

more computer run time for Type1 than <strong>of</strong> Type2.<br />

5. Conclusions and Future work<br />

The modeling <strong>of</strong> VRPTW aims to optimize a<br />

multi-objective problem by using the hybrid<br />

algorithm. The results are compared according to two<br />

criteria, the quality <strong>of</strong> solution and computer run<br />

time. The quality <strong>of</strong> solution <strong>of</strong> the algorithm is<br />

effective, as it provides solutions competitive with the<br />

best solutions in the Solomon benchmark problem<br />

instances. In addition it provides the 20 new best<br />

solutions in the first priority objective that is<br />

proposed by this research.<br />

The running time criterion, the experiments show<br />

clearly that the algorithm is higher performance than


The 5th International Congress on Logistics and SCM Systems(<strong>ICLS2009</strong>)<br />

GA when the number <strong>of</strong> customers is lower than 25<br />

nodes. The performance <strong>of</strong> the algorithm decreases<br />

rapidly when the number <strong>of</strong> customers is over than 50<br />

nodes. In addition to the types <strong>of</strong> benchmarking<br />

problems, there is significant effect to the computer<br />

run time.<br />

For future work, we will improve this hybrid<br />

algorithm by using the meta-heuristic techniques,<br />

thus, simulated annealing algorithm, ant colony<br />

algorithm or GA to solve larger scale VRPTW<br />

problems, i.e. n = 200 to 1000 to illustrate its<br />

performance when the number <strong>of</strong> customers<br />

increases.<br />

References<br />

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