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An Exact Algorithm for the Two-Echelon Capacitated Vehicle Routing Problem

Author

Listed:
  • Roberto Baldacci

    (Department of Electronics, Computer Science, and Systems, University of Bologna, 40126 Bologna, Italy)

  • Aristide Mingozzi

    (Department of Mathematics, University of Bologna, 40126 Bologna, Italy)

  • Roberto Roberti

    (Department of Electronics, Computer Science, and Systems, University of Bologna, 40126 Bologna, Italy)

  • Roberto Wolfler Calvo

    (Laboratoire d'Informatique de Paris Nord, Université de Paris 13; and Sorbonne Paris Cité, CNRS (UMR 7538), 93430 Villetaneuse, France)

Abstract

In the two-echelon capacitated vehicle routing problem (2E-CVRP), the delivery to customers from a depot uses intermediate depots, called satellites . The 2E-CVRP involves two levels of routing problems. The first level requires a design of the routes for a vehicle fleet located at the depot to transport the customer demands to a subset of the satellites. The second level concerns the routing of a vehicle fleet located at the satellites to serve all customers from the satellites supplied from the depot. The objective is to minimize the sum of routing and handling costs. This paper describes a new mathematical formulation of the 2E-CVRP used to derive valid lower bounds and an exact method that decomposes the 2E-CVRP into a limited set of multidepot capacitated vehicle routing problems with side constraints. Computational results on benchmark instances show that the new exact algorithm outperforms the state-of-the-art exact methods.

Suggested Citation

  • Roberto Baldacci & Aristide Mingozzi & Roberto Roberti & Roberto Wolfler Calvo, 2013. "An Exact Algorithm for the Two-Echelon Capacitated Vehicle Routing Problem," Operations Research, INFORMS, vol. 61(2), pages 298-314, April.
    • Handle: RePEc:inm:oropre:v:61:y:2013:i:2:p:298-314
    DOI: 10.1287/opre.1120.1153
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    References listed on IDEAS

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    1. Guido Perboli & Roberto Tadei & Daniele Vigo, 2011. "The Two-Echelon Capacitated Vehicle Routing Problem: Models and Math-Based Heuristics," Transportation Science, INFORMS, vol. 45(3), pages 364-380, August.
    2. Mads Jepsen & Simon Spoorendonk & Stefan Ropke, 2013. "A Branch-and-Cut Algorithm for the Symmetric Two-Echelon Capacitated Vehicle Routing Problem," Transportation Science, INFORMS, vol. 47(1), pages 23-37, February.
    3. Tan, K.C. & Chew, Y.H. & Lee, L.H., 2006. "A hybrid multi-objective evolutionary algorithm for solving truck and trailer vehicle routing problems," European Journal of Operational Research, Elsevier, vol. 172(3), pages 855-885, August.
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