We have over 12,000 students, from over 100 countries, within one of the safest campuses in the UK


93% of Lancaster students go into work or further study within six months of graduating

Home > Research > Publications & Outputs > A branch-and-cut algorithm for the capacitated ...
View graph of relations

« Back

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

Research output: Working paper


Publication date2006
Place of publicationLancaster University
PublisherThe Department of Management Science
Number of pages0
Original languageEnglish

Publication series

NameManagement Science Working Paper Series


In open vehicle routing problems, the vehicles are not required to return to the depot after completing service. In this paper, we present the first exact optimization algorithm for the open version of the well-known capacitated vehicle routing problem (CVRP). The algorithm is based on branch-and-cut. We show that, even though the open CVRP initially looks like a minor variation of the standard CVRP, the integer programming formulation and cutting planes need to be modified in subtle ways. Computational results are given for several standard test instances, which enables us for the first time to assess the quality of existing heuristic methods, and to compare the relative difficulty of open and closed versions of the same problem.

Bibliographic note

This was eventually published as: A.N. Letchford, J. Lysgaard & R.W. Eglese (2007) A branch-and-cut algorithm for the capacitated open vehicle routing problem. J. Opl Res. Soc., 58(12), 1642-1651.

Related projects