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Benders Decomposition for Large-Scale Uncapacitated Hub Location

Author

Listed:
  • Ivan Contreras

    (Concordia University and CIRRELT, Montréal H3G 1M8, Canada)

  • Jean-François Cordeau

    (HEC Montréal and CIRRELT, Montréal H3T 2A7, Canada)

  • Gilbert Laporte

    (HEC Montréal and CIRRELT, Montréal H3T 2A7, Canada)

Abstract

This paper describes an exact algorithm capable of solving large-scale instances of the well-known uncapacitated hub location problem with multiple assignments . The algorithm applies Benders decomposition to a strong path-based formulation of the problem. The standard decomposition algorithm is enhanced through the inclusion of several features such as the use of a multicut reformulation, the generation of strong optimality cuts, the integration of reduction tests, and the execution of a heuristic procedure. Extensive computational experiments were performed to evaluate the efficiency and robustness of the algorithm. Computational results obtained on classical benchmark instances (with up to 200 nodes) and on a new and more difficult set of instances (with up to 500 nodes) confirm the efficiency of the algorithm.

Suggested Citation

  • Ivan Contreras & Jean-François Cordeau & Gilbert Laporte, 2011. "Benders Decomposition for Large-Scale Uncapacitated Hub Location," Operations Research, INFORMS, vol. 59(6), pages 1477-1490, December.
    • Handle: RePEc:inm:oropre:v:59:y:2011:i:6:p:1477-1490
    DOI: 10.1287/opre.1110.0965
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    References listed on IDEAS

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