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The Vehicle Routing Problem with Stochastic Two-Dimensional Items

Author

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  • Jean-François Côté

    (Département d'opérations et systèmes de décision and Centre interuniversitaire de recherche sur les réseaux d’entreprise, la logistique et le transport, Université Laval, Québec G1V 0A6, Canada)

  • Michel Gendreau

    (Département de mathématiques et de génie industriel, École Polytechnique de Montréal, Montréal H3C 3A7, Canada; Centre interuniversitaire de recherche sur les réseaux d’entreprise, la logistique et le transport, Montréal H3C 3J7, Canada)

  • Jean-Yves Potvin

    (Centre interuniversitaire de recherche sur les réseaux d’entreprise, la logistique et le transport, Montréal H3C 3J7, Canada; Département d’informatique et de recherche opérationnelle, Université de Montréal, Montréal H3T 1J4, Canada)

Abstract

We consider a stochastic vehicle routing problem where a discrete probability distribution characterizes the two-dimensional size (height and width) as well as the weight of a subset of items to be delivered to customers. Although some item sizes and weights are not known with certainty when the routes are planned, they become known when it is time to load the vehicles, just before their departure. If it happens that not all items can be loaded in a vehicle, the items of one or more customers are put aside at a penalty or recourse cost. The objective is to minimize the sum of the routing and expected recourse costs. The problem is modeled as a two-stage stochastic program and solved with the integer L-shaped method. Some new inequalities and lower bounds are proposed. Computational results are reported on test instances specifically generated for this problem, as well as on classical instances for the deterministic case.

Suggested Citation

  • Jean-François Côté & Michel Gendreau & Jean-Yves Potvin, 2020. "The Vehicle Routing Problem with Stochastic Two-Dimensional Items," Transportation Science, INFORMS, vol. 54(2), pages 453-469, March.
    • Handle: RePEc:inm:ortrsc:v:54:y:2020:i:2:p:453-469
    DOI: 10.1287/trsc.2019.0904
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    References listed on IDEAS

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    Cited by:

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    2. Ji, Bin & Zhang, Zheng & Yu, Samson S. & Zhou, Saiqi & Wu, Guohua, 2023. "Modelling and heuristically solving many-to-many heterogeneous vehicle routing problem with cross-docking and two-dimensional loading constraints," European Journal of Operational Research, Elsevier, vol. 306(3), pages 1219-1235.
    3. Zheng Zhang & Bin Ji & Samson S. Yu, 2023. "An Adaptive Tabu Search Algorithm for Solving the Two-Dimensional Loading Constrained Vehicle Routing Problem with Stochastic Customers," Sustainability, MDPI, vol. 15(2), pages 1-23, January.
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    5. Cherkesly, Marilène & Gschwind, Timo, 2022. "The pickup and delivery problem with time windows, multiple stacks, and handling operations," European Journal of Operational Research, Elsevier, vol. 301(2), pages 647-666.

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