Skip to Main content Skip to Navigation
Journal articles

A Generic Exact Solver for Vehicle Routing and Related Problems

Artur Alves Pessoa 1 Ruslan Sadykov 2 Eduardo Uchoa 1 François Vanderbeck 3, 4 
2 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 : Major advances were recently obtained in the exact solution of Vehicle Routing Problems (VRPs). Sophisticated Branch-Cut-and-Price (BCP) algorithms for some of the most classical VRP variants now solve many instances with up to a few hundreds of customers. However , adapting and reimplementing those successful algorithms for other variants can be a very demanding task. This work proposes a BCP solver for a generic model that encompasses a wide class of VRPs. It incorporates the key elements found in the best recent VRP algorithms: ng-path relaxation, rank-1 cuts with limited memory, and route enumeration; all generalized through the new concept of "packing set". This concept is also used to derive a new branch rule based on accumulated resource consumption and to generalize the Ryan and Foster branch rule. Extensive experiments on several variants show that the generic solver has an excellent overall performance, in many problems being better than the best existing specific algorithms. Even some non-VRPs, like bin packing, vector packing and generalized assignment, can be modeled and effectively solved.
Document type :
Journal articles
Complete list of metadata

Cited literature [86 references]  Display  Hide  Download
Contributor : Ruslan Sadykov Connect in order to contact the contributor
Submitted on : Tuesday, November 3, 2020 - 5:27:23 PM
Last modification on : Friday, July 8, 2022 - 10:08:57 AM


Files produced by the author(s)




Artur Alves Pessoa, Ruslan Sadykov, Eduardo Uchoa, François Vanderbeck. A Generic Exact Solver for Vehicle Routing and Related Problems. Mathematical Programming, Springer Verlag, 2020, 183, pp.483-523. ⟨10.1007/s10107-020-01523-z⟩. ⟨hal-02178171v2⟩



Record views


Files downloads