A branch-cut-and-price algorithm for the cumulative capacitated vehicle routing problem

被引:6
|
作者
Damiao, Caio Marinho [1 ]
Pereira Silva, Joao Marcos [1 ]
Uchoa, Eduardo [1 ]
机构
[1] Univ Fed Fluminense, Dept Engn Prod, Rua Passo de Patria,156,Bloco E Sala 440, BR-24210240 Niteroi, RJ, Brazil
来源
关键词
Routing; Column generation; Integer programming; Modeling; VARIABLE NEIGHBORHOOD SEARCH; TRAVELING SALESMAN PROBLEM; RELAXATION;
D O I
10.1007/s10288-021-00498-7
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
The Cumulative Capacitated Vehicle Routing Problem is a variant of the classic routing problem in which the objective function is to minimize the sum of arrival times to customers. This article proposes a model for the problem that uses position indexes in order to calculate the contribution of the travel time of an edge to the arrival times of the remaining customers on a route. The model is implemented and solved by the branch-cut-and-price (BCP) algorithm in the VRPSolver package. Computational experiments indicate that the proposed BCP model is superior to the literature, being able to solve many open instances. Good results were also obtained for the Multi-Depot variant of the problem.
引用
收藏
页码:47 / 71
页数:25
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