The asymmetric traveling salesman problem with replenishment arcs

被引：28
|
作者：
Boland, NL [1 ]
Clarke, LW [1 ]
Nemhauser, GL [1 ]
机构：
[1] Georgia Inst Technol, Sch Ind & Syst Engn, Atlanta, GA 30332 USA
来源：
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 2000年 / 123卷 / 02期
关键词：
optimization; traveling salesman; column generation; cut generation;
D O I：
10.1016/S0377-2217(99)00266-0
中图分类号：
C93 [管理学];
学科分类号：
12 ; 1201 ; 1202 ; 120202 ;
摘要：
We consider a constrained asymmetric traveling salesman problem with knapsack-like constraints on subpaths of the tour. This problem arises in routing aircraft. We formulate the problem with an exponential number of variables that correspond to feasible subpaths. We study certain polyhedral aspects of the reformulation and present a branch-and-price-and-cut algorithm for solving it. We test the algorithm on both random instances and real instances that arise in the airline application. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：408 / 427
页数：20
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