Compact formulations for multi-depot routing problems: Theoretical and computational comparisons

被引:10
|
作者
Bektas, Tolga [1 ]
Gouveia, Luis [2 ]
Santos, Daniel [2 ,3 ]
机构
[1] Univ Liverpool, Management Sch, Chatham St, Liverpool L69 7ZH, Merseyside, England
[2] Univ Lisbon, Fac Ciencias, Ctr Matemat Aplicacoes Fundamentais & Invest Oper, C6 Piso 4, P-1749016 Lisbon, Portugal
[3] Univ Lisbon, Ctr Estudos Gestao, Inst Super Tecn, Av Rovisco Pais 1, P-1049001 Lisbon, Portugal
关键词
Vehicle routing; Multi-depot; Location-routing; Integer linear programming;
D O I
10.1016/j.cor.2020.105084
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Multi-depot routing problems mainly arise in distribution logistics where a fleet of vehicles are used to serve clients from a number of (potential) depots. The problem concerns deciding on the routes of each vehicle and the depots from which the vehicles depart, so as to minimize the total cost of travel. This paper reviews a number of existing compact formulations, and proposes new ones, for two types of multi-depot routing problems, one that includes the depot selection decisions, and the other where depots are pre-selected. The formulations are compared theoretically in terms of the strength of their linear programming relaxation, and computationally in terms of the running time needed to solve the instances to optimality. (c) 2020 Elsevier Ltd. All rights reserved.
引用
收藏
页数:15
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