A column generation approach for the split delivery vehicle routing problem

C. Archetti*, N. Bianchessi, M. G. Speranza

*Corresponding author for this work

    Research output: Contribution to JournalArticleAcademicpeer-review

    Abstract

    In this article we present a branch-and-price-and-cut method for the solution of the split delivery vehicle routing problem (SDVRP). The SDVRP is the problem to serve customers with a fleet of capacitated vehicles at minimum traveling cost. With respect to the classical vehicle routing problem, where each customer is visited exactly once, in the SDVRP a customer may be visited any number of times. The exact method we propose is based on a decomposition of the problem where the possible routes, with the delivery quantities, are generated in the subproblem. The generated routes are also used to find a heuristic solution to the problem. We consider both the case where the fleet of vehicles is unlimited and the case where the fleet is limited to the minimum possible number of vehicles. We solve to optimality instances with larger size with respect to previous approaches, find new best solutions to several benchmark instances and reduce the optimality gap on most of the benchmark instances.

    Original languageEnglish
    Pages (from-to)241-254
    Number of pages14
    JournalNetworks
    Volume58
    Issue number4
    DOIs
    Publication statusPublished - 1 Jul 2011

    Keywords

    • branch-and-price-and-cut method
    • column generation
    • split delivery vehicle routing problem
    • unlimited and limited fleet

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