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

Letchford, A N and Eglese, R W and Lysgaard, J (2004) A new branch-and-cut algorithm for the capacitated vehicle routing problem. Mathematical Programming, 100 (2). pp. 423-445. ISSN 0025-5610

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Abstract

We present a new branch-and-cut algorithm for the capacitated vehicle routing problem (CVRP). The algorithm uses a variety of cutting planes, including capacity, framed capacity, generalized capacity, strengthened comb, multistar, partial multistar, extended hypotour inequalities, and classical Gomory mixed-integer cuts. For each of these classes of inequalities we describe our separation algorithms in detail. Also we describe the other important ingredients of our branch-and-cut algorithm, such as the branching rules, the node selection strategy, and the cut pool management. Computational results, for a large number of instances, show that the new algorithm is competitive. In particular, we solve three instances (B-n50-k8, B-n66-k9 and B-n78-k10) of Augerat to optimality for the first time.

Item Type: Article
Journal or Publication Title: Mathematical Programming
Uncontrolled Keywords: vehicle routing ; branch-and-cut ; combinatorial optimisation
Subjects: H Social Sciences > HB Economic Theory
Departments: Lancaster University Management School > Management Science
ID Code: 43745
Deposited By: ep_importer_pure
Deposited On: 11 Jul 2011 19:04
Refereed?: Yes
Published?: Published
Last Modified: 09 Apr 2014 22:21
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/43745

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