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A note on determining operating strategies for probabilistic vehicle routing

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  • James R. Yee
  • Bruce L. Golden

Abstract

The stochastic vehicle routing problem is a problem of current importance and research interest. Applications include schoolbus routing, municipal waste collection, subscription bus scheduling, daily delivery of dairy goods, and a host of related transportation and distribution activities. In this paper, we assume that routes for vehicles have already been generated and we focus on determining operating strategies. That is, under what conditions should a driver return to the central depot in order to replenish his supply? We present a dynamic programming recursion which addresses this question and we show that the optimal policy is of a rather simple form. Finally, an algorithm and example illustrate the policy.

Suggested Citation

  • James R. Yee & Bruce L. Golden, 1980. "A note on determining operating strategies for probabilistic vehicle routing," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 27(1), pages 159-163, March.
    • Handle: RePEc:wly:navlog:v:27:y:1980:i:1:p:159-163
    DOI: 10.1002/nav.3800270114
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    Cited by:

    1. Alexandre M. Florio & Richard F. Hartl & Stefan Minner, 2020. "New Exact Algorithm for the Vehicle Routing Problem with Stochastic Demands," Transportation Science, INFORMS, vol. 54(4), pages 1073-1090, July.
    2. Florio, Alexandre M. & Hartl, Richard F. & Minner, Stefan, 2020. "Optimal a priori tour and restocking policy for the single-vehicle routing problem with stochastic demands," European Journal of Operational Research, Elsevier, vol. 285(1), pages 172-182.
    3. Majid Salavati-Khoshghalb & Michel Gendreau & Ola Jabali & Walter Rei, 2019. "A hybrid recourse policy for the vehicle routing problem with stochastic demands," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 8(3), pages 269-298, September.
    4. Salavati-Khoshghalb, Majid & Gendreau, Michel & Jabali, Ola & Rei, Walter, 2019. "An exact algorithm to solve the vehicle routing problem with stochastic demands under an optimal restocking policy," European Journal of Operational Research, Elsevier, vol. 273(1), pages 175-189.
    5. Florio, Alexandre M. & Gendreau, Michel & Hartl, Richard F. & Minner, Stefan & Vidal, Thibaut, 2023. "Recent advances in vehicle routing with stochastic demands: Bayesian learning for correlated demands and elementary branch-price-and-cut," European Journal of Operational Research, Elsevier, vol. 306(3), pages 1081-1093.
    6. De La Vega, Jonathan & Gendreau, Michel & Morabito, Reinaldo & Munari, Pedro & Ordóñez, Fernando, 2023. "An integer L-shaped algorithm for the vehicle routing problem with time windows and stochastic demands," European Journal of Operational Research, Elsevier, vol. 308(2), pages 676-695.
    7. Majid Salavati-Khoshghalb & Michel Gendreau & Ola Jabali & Walter Rei, 2019. "A Rule-Based Recourse for the Vehicle Routing Problem with Stochastic Demands," Transportation Science, INFORMS, vol. 53(5), pages 1334-1353, September.
    8. Alexandre M. Florio & Richard F. Hartl & Stefan Minner & Juan-José Salazar-González, 2021. "A Branch-and-Price Algorithm for the Vehicle Routing Problem with Stochastic Demands and Probabilistic Duration Constraints," Transportation Science, INFORMS, vol. 55(1), pages 122-138, 1-2.

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