Abstract
This paper presents scheduling models for dispatching vehicles to accomplish a sequence of container jobs at the container terminal, in which the starting times as well as the order of vehicles for carrying out these jobs need to be determined. To deal with this scheduling problem, three mixed 0–1 integer programming models, Model I, Model II and Model III are provided. We present interesting techniques to reformulate the two mixed integer programming models, Model I and Model II, as pure 0–1 integer programming problems with simple constraint sets and present a lower bound for the optimal value of Model I. Model III is a complicated mixed integer programming model because it involves a set of non-smooth constraints, but it can be proved that its solutions may be obtained by the so-called greedy algorithm. We present numerical results showing that Model III is the best among these three models and the greedy algorithm is capable of solving large scale problems.
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This project is sponsored by ASTAR (Agency for Science, Technology and Research), MPA (Maritime and Port Authority) and NTU (Nanyang Technological University).
Li-Wei Zhang received his BSc, Msc and Ph. D from Dalian University of Technology. He is a professor of Department of Applied Mathematics, Dalian University of Technology and currently he is a Research Fellow in in School of Computer Engineering, Nanyang Technological University. His research interests are Nonlinear Programming, Non-smooth Analysis and Optimization and Network Optimization.
Rong Ye received his BEng and MEng from Zhejiang Uiversity and he is a Research Associate in School of Computer Engineering, Nanyang Technological University. His research interests are Simulation Modelling and Networking.
Shell-Ying Huang received BSc(Eng) Lond., ACGI, DICPHD Lond. She is an associate professor of School of Computer Engineering, Nanyang Technological University. Her research interests are Muti-Agent Systems, Algorithms and Data Structure, Navigation and Routing Planning Systems.
Wen-Jing Hsu received his BS, MS and Ph. D from Natnl. Chioa Tung (Taiwan). He is an associate professor of School of Computer Engineering, Nanyang Technological University. His research interests are Algorithms, Computer Architectures, Parallel and Distributed Systems and Networks.
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Zhang, LW., Ye, R., Huang, SY. et al. Mixed integer programming models for dispatching vehicles at a container terminal. JAMC 17, 145–170 (2005). https://doi.org/10.1007/BF02936046
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DOI: https://doi.org/10.1007/BF02936046