Recent exact algorithms for solving the vehicle routing problem under capacity and time window constraints

被引:312
作者
Baldacci, Roberto [2 ]
Mingozzi, Aristide [1 ]
Roberti, Roberto [3 ]
机构
[1] Univ Bologna, Dept Math, I-47521 Cesena, Italy
[2] Univ Bologna, DEIS, I-47521 Cesena, Italy
[3] Univ Bologna, DEIS, I-40136 Bologna, Italy
关键词
Vehicle routing; Exact algorithms; Survey; SHORTEST-PATH PROBLEM; RESOURCE CONSTRAINTS; INEQUALITIES; ELIMINATION; FORMULATION; CUTS;
D O I
10.1016/j.ejor.2011.07.037
中图分类号
C93 [管理学];
学科分类号
12 ; 1201 ; 1202 ; 120202 ;
摘要
This paper provides a review of the recent developments that had a major impact on the current state-of-the-art exact algorithms for the vehicle routing problem (VRP). The paper reviews mathematical formulations, relaxations and recent exact methods for two of the most important variants of the VRP: the capacitated VRP (CVRP) and the VRP with time windows (VRPTW). The paper also reports a comparison of the computational performances of the different exact algorithms for the CVRP and VRPTW. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码:1 / 6
页数:6
相关论文
共 29 条
[1]   INTEGER LINEAR-PROGRAMMING FORMULATION FOR A VEHICLE-ROUTING PROBLEM [J].
ACHUTHAN, NR ;
CACCETTA, L .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1991, 52 (01) :86-89
[2]  
[Anonymous], 2002, VEHICLE ROUTING PROB
[3]  
Augerat P., 1995, 1RR949M ARTEMIS IMAG
[4]   An exact algorithm for the capacitated vehicle routing problem based on a two-commodity network flow formulation [J].
Baldacci, R ;
Hadjiconstantinou, E ;
Mingozzi, A .
OPERATIONS RESEARCH, 2004, 52 (05) :723-738
[5]  
Baldacci R., OPERATIONS IN PRESS
[6]   An exact algorithm for the vehicle routing problem based on the set partitioning formulation with additional cuts [J].
Baldacci, Roberto ;
Christofides, Nicos ;
Mingozzi, Aristide .
MATHEMATICAL PROGRAMMING, 2008, 115 (02) :351-385
[7]   ON INTEGER-PROGRAM FOR DELIVERY PROBLEM [J].
BALINSKI, ML ;
QUANDT, RE .
OPERATIONS RESEARCH, 1964, 12 (02) :300-&
[8]   Vehicle Routing Problem with elementary shortest path based column generation [J].
Chabrier, A .
COMPUTERS & OPERATIONS RESEARCH, 2006, 33 (10) :2972-2990
[9]   EXACT ALGORITHMS FOR THE VEHICLE-ROUTING PROBLEM, BASED ON SPANNING TREE AND SHORTEST-PATH RELAXATIONS [J].
CHRISTOFIDES, N ;
MINGOZZI, A ;
TOTH, P .
MATHEMATICAL PROGRAMMING, 1981, 20 (03) :255-282
[10]  
Cordeau JF, 2002, SIAM MONOG DISCR MAT, P157