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:
Journal Article
Journal or Publication Title:
Mathematical Programming
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/aacsb/disciplinebasedresearch
Subjects:
ID Code:
43745
Deposited By:
Deposited On:
11 Jul 2011 18:04
Refereed?:
Yes
Published?:
Published
Last Modified:
08 Jul 2020 02:45