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The two-region multi-depot pickup and delivery problem

Author

Listed:
  • Adria Soriano

    (University of Vienna)

  • Margaretha Gansterer

    (University of Vienna)

  • Richard F. Hartl

    (University of Vienna)

Abstract

Logistics networks are constantly evolving such that new and more varied structures arise and need to be studied. Carriers are aiming for opportunities to save costs by efficient planning. Motivated by this, we define the two-region multi-depot pickup and delivery problem. A region in this setting refers to an area where customers and depots are located. We differentiate two kinds of requests depending on whether their customers are located in the same region or not. Due to geographical characteristics, direct transportation between different regions is considered inefficient and a long-distance transportation mode needs to be used to connect them. Hence, we face a complex problem where interrelated decisions are to be made. We propose a decomposition into three subproblems, which relate to well-known problems in the literature. For solving the global problem, an adaptive large neighborhood search (ALNS) algorithm is developed. The algorithm mixes operators tailored to each of the different decisions of each subproblem. We demonstrate that these operators are efficient when applied to problems of their primal nature. In an extensive computational study, we show that the proposed ALNS dominates alternative ALNS schemes, where subproblems are treated sequentially. A detailed analysis of the solution convergence is provided. The proposed approach is a powerful tool to tackle complex decision problems in large distribution networks.

Suggested Citation

  • Adria Soriano & Margaretha Gansterer & Richard F. Hartl, 2018. "The two-region multi-depot pickup and delivery problem," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 40(4), pages 1077-1108, October.
    • Handle: RePEc:spr:orspec:v:40:y:2018:i:4:d:10.1007_s00291-018-0534-2
    DOI: 10.1007/s00291-018-0534-2
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    References listed on IDEAS

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    Cited by:

    1. Soriano, Adria & Vidal, Thibaut & Gansterer, Margaretha & Doerner, Karl, 2020. "The vehicle routing problem with arrival time diversification on a multigraph," European Journal of Operational Research, Elsevier, vol. 286(2), pages 564-575.
    2. Soriano, Adria & Gansterer, Margaretha & Hartl, Richard F., 2023. "The multi-depot vehicle routing problem with profit fairness," International Journal of Production Economics, Elsevier, vol. 255(C).
    3. Soriano, Adria & Gansterer, Margaretha & Hartl, Richard F., 2022. "Reprint of: The multi-depot vehicle routing problem with profit fairness," International Journal of Production Economics, Elsevier, vol. 250(C).
    4. Alexander Hübner & Pedro Amorim & Heinrich Kuhn & Stefan Minner & Tom Woensel, 2018. "Retail operations," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 40(4), pages 831-835, October.
    5. Hilde Heggen & Yves Molenbruch & An Caris & Kris Braekers, 2019. "Intermodal Container Routing: Integrating Long-Haul Routing and Local Drayage Decisions," Sustainability, MDPI, vol. 11(6), pages 1-36, March.
    6. Margaretha Gansterer & Richard F. Hartl, 2020. "Shared resources in collaborative vehicle routing," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(1), pages 1-20, April.

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