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The Vehicle Routing Problem with Partial Outsourcing

Author

Listed:
  • Annelieke C. Baller

    (Department of Supply Chain Analytics, Vrije Universiteit Amsterdam, 1081 HV Amsterdam, Netherlands;)

  • Said Dabia

    (Department of Supply Chain Analytics, Vrije Universiteit Amsterdam, 1081 HV Amsterdam, Netherlands;)

  • Wout E. H. Dullaert

    (Department of Supply Chain Analytics, Vrije Universiteit Amsterdam, 1081 HV Amsterdam, Netherlands;)

  • Daniele Vigo

    (Department of Supply Chain Analytics, Vrije Universiteit Amsterdam, 1081 HV Amsterdam, Netherlands; Department of Electrical, Electronic and Information Engineering “Guglielmo Marconi”, Alma Mater Università di Bologna, 04136 Bologna, Italy)

Abstract

This paper introduces the vehicle routing problem with partial outsourcing (VRPPO) in which a customer can be served by a single private vehicle, by a common carrier, or by both a single private vehicle and a common carrier. As such, it is a variant of the vehicle routing problem with private fleet and common carrier (VRPPC). The objective of the VRPPO is to minimize fixed and variable costs of the private fleet plus the outsourcing cost. We propose two different path-based formulations for the VRPPO and solve these with a branch-and-price-and-cut solution method. For each path-based formulation, two different pricing procedures are designed and used when solving the linear relaxations by column generation. To assess the quality of the solution methods and gain insight in potential cost improvements compared with the VRPPC, we perform tests on two instance sets with up to 100 customers from the literature.

Suggested Citation

  • Annelieke C. Baller & Said Dabia & Wout E. H. Dullaert & Daniele Vigo, 2020. "The Vehicle Routing Problem with Partial Outsourcing," Transportation Science, INFORMS, vol. 54(4), pages 1034-1052, July.
    • Handle: RePEc:inm:ortrsc:v:54:y:2020:i:4:p:1034-1052
    DOI: 10.1287/trsc.2019.0940
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    References listed on IDEAS

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