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Improving robustness of solutions to arc routing problems

Author

Listed:
  • G Fleury

    (University Blaise Pascal, Campus Universitaire des Cézeaux)

  • P Lacomme

    (University Blaise Pascal, Campus Universitaire des Cézeaux)

  • C Prins

    (University of Technology of Troyes)

  • W Ramdane-Chérif

    (Campus Scientifique, Vandoeuvre-lés-Nancy Cedex)

Abstract

This paper considers the stochastic capacitated arc routing problem (SCARP), obtained by taking random demands in the CARP. For real-world problems, it is important to create solutions that are insensitive to changes in demand, because these quantities are not deterministic but randomly distributed. This paper provides the basic concept of a new technique to compute such solutions, based upon the best method published for CARP: a hybrid genetic algorithm (HGA). The simulation analysis was achieved with the well-known DeArmon's, Eglese's and Belenguer's instances. This intensive evaluation process was carried out with 1000 replications providing high-quality statistical data. The results obtained prove that there is a great interest to optimize not only the solution cost but also the robustness of solutions. This work is a step forward to treat more realistic problems including industrial goals and constraints linked to demand variations.

Suggested Citation

  • G Fleury & P Lacomme & C Prins & W Ramdane-Chérif, 2005. "Improving robustness of solutions to arc routing problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(5), pages 526-538, May.
    • Handle: RePEc:pal:jorsoc:v:56:y:2005:i:5:d:10.1057_palgrave.jors.2601822
    DOI: 10.1057/palgrave.jors.2601822
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    References listed on IDEAS

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    1. Michel Gendreau & Gilbert Laporte & René Séguin, 1995. "An Exact Algorithm for the Vehicle Routing Problem with Stochastic Demands and Customers," Transportation Science, INFORMS, vol. 29(2), pages 143-155, May.
    2. Alain Hertz & Gilbert Laporte & Michel Mittaz, 2000. "A Tabu Search Heuristic for the Capacitated arc Routing Problem," Operations Research, INFORMS, vol. 48(1), pages 129-135, February.
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    Cited by:

    1. Chen, Lu & Gendreau, Michel & Hà, Minh Hoàng & Langevin, André, 2016. "A robust optimization approach for the road network daily maintenance routing problem with uncertain service time," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 85(C), pages 40-51.
    2. Jorge Oyola & Halvard Arntzen & David L. Woodruff, 2017. "The stochastic vehicle routing problem, a literature review, Part II: solution methods," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 6(4), pages 349-388, December.
    3. Srimathy Mohan & Michel Gendreau & Jean-Marc Rousseau, 2008. "The Stochastic Eulerian Tour Problem," Transportation Science, INFORMS, vol. 42(2), pages 166-174, May.

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