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

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  • Department of Business Studies
  • CORAL - Centre for Operations Research Applications in Logistics
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.
Original languageEnglish
JournalJournal of the Operational Research Society
Volume58
Issue12, dec
Pages (from-to)1642-1651
ISSN0160-5682
DOIs
Publication statusPublished - 2007

    Research areas

  • vehicle routing, branch-and-cut, separation

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