A Branch-and-Price Algorithm for the Multivehicle Covering Tour Problem

被引：21
|
作者：
Jozefowiez, Nicolas [1 ,2 ]
机构：
[1] CNRS, LAAS, F-31400 Toulouse, France
[2] Univ Toulouse, INSA, LAAS, F-31400 Toulouse, France
来源：
NETWORKS | 2014年 / 64卷 / 03期
关键词：
vehicle routing problem; covering tour problem; integer programming; column generation; branch-and-price algorithm;
D O I：
10.1002/net.21564
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
This article proposes a mathematical model and a branch-and-price algorithm for the multivehicle covering tour problem. This problem consists in finding a set of routes on a weighted graph such that a set of nodes that cannot be visited is covered. A node is covered if it lies within a predefined distance of a visited node. The subproblem encountered during the column generation is a variant of the profitable tour problem. It is reduced to a ring star problem and a branch-and-cut algorithm is developed. Computational results are reported on randomly generated instances. (c) 2014 Wiley Periodicals, Inc. NETWORKS, Vol. 64(3), 160-168 2014
引用
收藏
页码：160 / 168
页数：9
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