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European Driver Rules in Vehicle Routing with Time Windows

Author

Listed:
  • Eric Prescott-Gagnon

    (École Polytechnique de Montréal, Montréal, Québec H3C 3A7, Canada, and GERAD, Montréal, Québec H3T 2A7, Canada)

  • Guy Desaulniers

    (École Polytechnique de Montréal, Montréal, Québec H3C 3A7, Canada, and GERAD, Montréal, Québec H3T 2A7, Canada)

  • Michael Drexl

    (Fraunhofer-Centre for Applied Research on Supply Chain Services SCS, 90411 Nuremberg, Germany)

  • Louis-Martin Rousseau

    (École Polytechnique de Montréal and CIRRELT, Montréal, Québec H3C 3AT, Canada)

Abstract

As of April 2007, the European Union has new regulations concerning driver working hours. These rules force the placement of breaks and rests into vehicle routes when consecutive driving or working time exceeds certain limits. This paper proposes a large neighborhood search method for the vehicle routing problem with time windows and driver regulations. In this method, neighborhoods are explored using a column generation heuristic that relies on a tabu search algorithm for generating new columns (routes). Checking route feasibility after inserting a customer into a route in the tabu search algorithm is not an easy task. To do so, we model all feasibility rules as resource constraints, develop a label-setting algorithm to perform this check, and show how it can be used efficiently to validate multiple customer insertions into a given existing route. We test the overall solution method on modified Solomon instances and report computational results that clearly show the efficiency of our method compared to two other existing heuristics.

Suggested Citation

  • Eric Prescott-Gagnon & Guy Desaulniers & Michael Drexl & Louis-Martin Rousseau, 2010. "European Driver Rules in Vehicle Routing with Time Windows," Transportation Science, INFORMS, vol. 44(4), pages 455-473, November.
  • Handle: RePEc:inm:ortrsc:v:44:y:2010:i:4:p:455-473
    DOI: 10.1287/trsc.1100.0328
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    References listed on IDEAS

    as
    1. Olli Bräysy & Michel Gendreau, 2005. "Vehicle Routing Problem with Time Windows, Part I: Route Construction and Local Search Algorithms," Transportation Science, INFORMS, vol. 39(1), pages 104-118, February.
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    3. Brian Kallehauge & Jesper Larsen & Oli B.G. Madsen & Marius M. Solomon, 2005. "Vehicle Routing Problem with Time Windows," Springer Books, in: Guy Desaulniers & Jacques Desrosiers & Marius M. Solomon (ed.), Column Generation, chapter 0, pages 67-98, Springer.
    4. Olli Bräysy & Michel Gendreau, 2005. "Vehicle Routing Problem with Time Windows, Part II: Metaheuristics," Transportation Science, INFORMS, vol. 39(1), pages 119-139, February.
    5. Claudia Archetti & Martin Savelsbergh, 2009. "The Trip Scheduling Problem," Transportation Science, INFORMS, vol. 43(4), pages 417-431, November.
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    7. Marius M. Solomon, 1987. "Algorithms for the Vehicle Routing and Scheduling Problems with Time Window Constraints," Operations Research, INFORMS, vol. 35(2), pages 254-265, April.
    8. Stefan Irnich & Guy Desaulniers, 2005. "Shortest Path Problems with Resource Constraints," Springer Books, in: Guy Desaulniers & Jacques Desrosiers & Marius M. Solomon (ed.), Column Generation, chapter 0, pages 33-65, Springer.
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