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Combined vehicle routing and scheduling with temporal precedence and synchronization constraints

Author

Listed:
  • Bredström, David

    (Dept. of Mathematics, Linköpings universitet)

  • Rönnqvist, Mikael

    (Dept. of Finance and Management Science, Norwegian School of Economics and Business Administration)

Abstract

We present a mathematical programming model for the combined vehicle routing and scheduling problem with time windows and additional temporal constraints. The temporal constraints allow for imposing pairwise synchronization and pairwise temporal precedence between customer visits, independently of the vehicles. We describe some real world problems where the temporal constraints, in the literature, usually are remarkably simplified in the solution process, even though these constraints may significantly improve the solution quality and/or usability. We also propose an optimization based heuristic to solve real size instances. The results of numerical experiments substantiate the importance of the temporal constraints in the solution approach. We also make a computational study by comparing a direct usage of a commercial solver against the proposed heuristic where the latter approach can find high quality solutions within distinct time limits.

Suggested Citation

  • Bredström, David & Rönnqvist, Mikael, 2006. "Combined vehicle routing and scheduling with temporal precedence and synchronization constraints," Discussion Papers 2006/18, Norwegian School of Economics, Department of Business and Management Science.
    • Handle: RePEc:hhs:nhhfms:2006_018
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    References listed on IDEAS

    as
    1. Freling, R. & Huisman, D. & Wagelmans, A.P.M., 2000. "Models and algorithms for Integration of Vehicle and Crew Scheduling," ERIM Report Series Research in Management ERS-2000-14-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    2. Mikkel Sigurd & David Pisinger & Michael Sig, 2004. "Scheduling Transportation of Live Animals to Avoid the Spread of Diseases," Transportation Science, INFORMS, vol. 38(2), pages 197-209, May.
    3. Ioachim, Irina & Desrosiers, Jacques & Soumis, Francois & Belanger, Nicolas, 1999. "Fleet assignment and routing with schedule synchronization constraints," European Journal of Operational Research, Elsevier, vol. 119(1), pages 75-90, November.
    4. Belanger, Nicolas & Desaulniers, Guy & Soumis, Francois & Desrosiers, Jacques, 2006. "Periodic airline fleet assignment with time windows, spacing constraints, and time dependent revenues," European Journal of Operational Research, Elsevier, vol. 175(3), pages 1754-1766, December.
    5. Knut Haase & Guy Desaulniers & Jacques Desrosiers, 2001. "Simultaneous Vehicle and Crew Scheduling in Urban Mass Transit Systems," Transportation Science, INFORMS, vol. 35(3), pages 286-303, August.
    6. Eveborn, Patrik & Flisberg, Patrik & Ronnqvist, Mikael, 2006. "Laps Care--an operational system for staff planning of home care," European Journal of Operational Research, Elsevier, vol. 171(3), pages 962-976, June.
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    Cited by:

    1. Bredström, David & Rönnqvist, Mikael, 2007. "A branch and price algorithm for the combined vehicle routing and scheduling problem with synchronization constraints," Discussion Papers 2007/7, Norwegian School of Economics, Department of Business and Management Science.

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    More about this item

    Keywords

    Routing; Scheduling; Temporal Constraints; Synchronization; Branch and Bound;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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