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The Vehicle Routing Problem with Stochastic Travel Times

Author

Listed:
  • Gilbert Laporte

    (Centre de recherche sur les transports, Université de Montréal, C.P. 6128, Succursale A, Montréal, Canada H3C 3J7)

  • François Louveaux

    (Facultés Universitaires Notre-Dame de la Paix, 8 Rempart de la Vierge, B-5000 Namur, Belgium)

  • Hélène Mercure

    (GERAD, École des Hautes Études Commerciales de Montréal, 5255 avenue Decelles, Montréal, Canada H3T 1V6)

Abstract

This paper considers vehicle routing problems (VRPs) with stochastic service and travel times, in which vehicles incur a penalty proportional to the duration of their route in excess of a preset constant. Three mathematical programming models are presented: a chance constrained model, a three-index simple recourse model and a two-index recourse model. A general branch and cut algorithm for the three models is described. Computational results indicate that moderate size problems can be solved to optimality.

Suggested Citation

  • Gilbert Laporte & François Louveaux & Hélène Mercure, 1992. "The Vehicle Routing Problem with Stochastic Travel Times," Transportation Science, INFORMS, vol. 26(3), pages 161-170, August.
    • Handle: RePEc:inm:ortrsc:v:26:y:1992:i:3:p:161-170
    DOI: 10.1287/trsc.26.3.161
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