An exact solution approach for vehicle routing and scheduling problems with soft time windows

被引:98
作者
Qureshi, A. G. [1 ]
Taniguchi, E. [1 ]
Yamada, T. [1 ]
机构
[1] Kyoto Univ, Dept Urban Management, Nishikyo Ku, Kyoto 6158540, Japan
关键词
City logistics; Vehicle routing with soft time windows; Column generation; SHORTEST-PATH PROBLEM; OPTIMIZATION ALGORITHM; TABU SEARCH;
D O I
10.1016/j.tre.2009.04.007
中图分类号
F [经济];
学科分类号
02 ;
摘要
A new column generation based exact optimization approach for the vehicle routing and scheduling problem with semi soft time windows (VRPSSTW) is presented. Elementary shortest path problem with resource constraints and late arrival penalties is solved as a subproblem, which rises from the Dantzig-Wolfe decomposition method. Exact solutions of VRPSSTW and hard time windows variant are compared on Solomon's benchmark instances as well as on an instance based on Tokyo road network. It was found that the VRPSSTW solution results in fewer routes thus overall costs are reduced and late arrival penalties contribute only a small fraction to total cost. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:960 / 977
页数:18
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