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A Bucket Graph Based Labeling Algorithm with Application to Vehicle Routing

Ruslan Sadykov 1 Eduardo Uchoa 2 Artur Alves Pessoa 2
1 Realopt - Reformulations based algorithms for Combinatorial Optimization
LaBRI - Laboratoire Bordelais de Recherche en Informatique, IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
Abstract : We consider the Resource Constrained Shortest Path problem arising as a subproblem in state-of- the-art Branch-Cut-and-Price algorithms for vehicle routing problems. We propose a variant of the bi-directional label correcting algorithm in which the labels are stored and extended according to so-called bucket graph. Such organization of labels helps to decrease significantly the number of dominance checks and the running time of the algorithm. We also show how the forward/backward route symmetry can be exploited and how to filter the bucket graph using reduced costs. The proposed algorithm can be especially beneficial for vehicle routing instances with large vehicle capacity and/or with time constraints. Computational experiments were performed on instances from the distance constrained vehicle routing problem, including multi-depot and site-depended variants, on the vehicle routing problem with time windows, and on the “nightmare” instances of the heterogeneous fleet vehicle routing problem. Very significant improvements over the best algorithms in the literature were achieved and many instances could be solved for the first time.
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Contributor : Ruslan Sadykov <>
Submitted on : Friday, December 15, 2017 - 11:41:29 AM
Last modification on : Monday, November 25, 2019 - 11:26:13 AM


  • HAL Id : hal-01664854, version 1



Ruslan Sadykov, Eduardo Uchoa, Artur Alves Pessoa. A Bucket Graph Based Labeling Algorithm with Application to Vehicle Routing. [Research Report] Cadernos do LOGIS 2017/7, Universidade Federal Fluminense. 2017. ⟨hal-01664854⟩



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