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Waiting Strategies for Dynamic Vehicle Routing

Author

Listed:
  • Jürgen Branke

    (Institute AIFB, University of Karlsruhe, 76128 Karlsruhe, Germany)

  • Martin Middendorf

    (Department of Computer Science, University of Leipzig, 04109 Leipzig, Germany)

  • Guntram Noeth

    (McKinsey & Company, Inc., Prinzregentenstr. 22, 80538 Munich, Germany)

  • Maged Dessouky

    (Department of Industrial and Systems Engineering, University of Southern California, Los Angeles, California 90089)

Abstract

Many real-world vehicle routing problems are dynamic optimization problems, with customer requests arriving over time, requiring a repeated reoptimization. In this paper, we consider a dynamic vehicle routing problem where one additional customer arrives at a beforehand unknown location when the vehicles are already under way. Our objective is to maximize the probability that the additional customer can be integrated into one of the otherwise fixed tours without violating time constraints. This is achieved by letting the vehicles wait at suitable locations during their tours, thus influencing the position of the vehicles at the time when the new customer arrives. For the cases of one and two vehicles, we derive theoretical results about the best waiting strategies. The general problem is shown to be NP-complete. Several deterministic waiting strategies and an evolutionary algorithm to optimize the waiting strategy are proposed and compared empirically. It is demonstrated that a proper waiting strategy can significantly increase the probability of being able to service the additional customer, at the same time reducing the average detour to serve that customer.

Suggested Citation

  • Jürgen Branke & Martin Middendorf & Guntram Noeth & Maged Dessouky, 2005. "Waiting Strategies for Dynamic Vehicle Routing," Transportation Science, INFORMS, vol. 39(3), pages 298-312, August.
    • Handle: RePEc:inm:ortrsc:v:39:y:2005:i:3:p:298-312
    DOI: 10.1287/trsc.1040.0095
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    References listed on IDEAS

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    1. Soumia Ichoua & Michel Gendreau & Jean-Yves Potvin, 2000. "Diversion Issues in Real-Time Vehicle Dispatching," Transportation Science, INFORMS, vol. 34(4), pages 426-438, November.
    2. Michel Gendreau & François Guertin & Jean-Yves Potvin & Éric Taillard, 1999. "Parallel Tabu Search for Real-Time Vehicle Routing and Dispatching," Transportation Science, INFORMS, vol. 33(4), pages 381-390, November.
    3. Mitrovic-Minic, Snezana & Krishnamurti, Ramesh & Laporte, Gilbert, 2004. "Double-horizon based heuristics for the dynamic pickup and delivery problem with time windows," Transportation Research Part B: Methodological, Elsevier, vol. 38(8), pages 669-685, September.
    4. ,, 1998. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 14(5), pages 687-698, October.
    5. Mitrovic-Minic, Snezana & Laporte, Gilbert, 2004. "Waiting strategies for the dynamic pickup and delivery problem with time windows," Transportation Research Part B: Methodological, Elsevier, vol. 38(7), pages 635-655, August.
    6. Dimitris J. Bertsimas & Garrett van Ryzin, 1991. "A Stochastic and Dynamic Vehicle Routing Problem in the Euclidean Plane," Operations Research, INFORMS, vol. 39(4), pages 601-615, August.
    7. Bertsimas, Dimitris & Van Ryzin, Garrett., 1991. "A stochastic and dynamic vehicle routing problem in the Euclidean plane," Working papers 3286-91., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    8. Swihart, Michael R. & Papastavrou, Jason D., 1999. "A stochastic and dynamic model for the single-vehicle pick-up and delivery problem," European Journal of Operational Research, Elsevier, vol. 114(3), pages 447-464, May.
    9. ,, 1998. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 14(3), pages 381-386, June.
    10. Warren B. Powell, 1986. "A Stochastic Model of the Dynamic Vehicle Allocation Problem," Transportation Science, INFORMS, vol. 20(2), pages 117-129, May.
    11. ,, 1998. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 14(4), pages 525-537, August.
    12. Dimitris J. Bertsimas & Garrett van Ryzin, 1993. "Stochastic and Dynamic Vehicle Routing in the Euclidean Plane with Multiple Capacitated Vehicles," Operations Research, INFORMS, vol. 41(1), pages 60-76, February.
    13. ,, 1998. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 14(2), pages 285-292, April.
    14. Barrett W. Thomas & Chelsea C. White, 2004. "Anticipatory Route Selection," Transportation Science, INFORMS, vol. 38(4), pages 473-487, November.
    15. Papastavrou, Jason D., 1996. "A stochastic and dynamic routing policy using branching processes with state dependent immigration," European Journal of Operational Research, Elsevier, vol. 95(1), pages 167-177, November.
    16. Dimitris J. Bertsimas & David Simchi-Levi, 1996. "A New Generation of Vehicle Routing Research: Robust Algorithms, Addressing Uncertainty," Operations Research, INFORMS, vol. 44(2), pages 286-304, April.
    17. Warren B. Powell, 1996. "A Stochastic Formulation of the Dynamic Assignment Problem, with an Application to Truckload Motor Carriers," Transportation Science, INFORMS, vol. 30(3), pages 195-219, August.
    18. ,, 1998. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 14(1), pages 151-159, February.
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