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An Exact Algorithm for the Pickup and Delivery Problem with Time Windows and Last-in-First-out Loading

Author

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  • Ali Mehsin Alyasiry

    (School of Mathematics and Physics, Faculty of Science, University of Queensland, St. Lucia, Brisbane, Australia)

  • Michael Forbes

    (School of Mathematics and Physics, Faculty of Science, University of Queensland, St. Lucia, Brisbane, Australia)

  • Michael Bulmer

    (School of Mathematics and Physics, Faculty of Science, University of Queensland, St. Lucia, Brisbane, Australia)

Abstract

Applications of the pickup and delivery problem with time windows and last-in-first-out (LIFO) loading (PDPTWL) constraints can be found in the transportation of animals, heavyweight goods, and hazardous materials, where unloading vehicles requires more time and special handling. Examples include carrying livestock, cars, and chemical containers. Research on exact methods to solve the pickup and delivery problem with time windows (PDPTW) and its variants has mainly focused on branch-and-price-and-cut algorithms. In this paper, we propose a novel exact approach based on fragments— a series of pickup and delivery requests starting and ending with an empty vehicle. We use fragments to formulate a relaxed network flow model with side constraints. Lazy constraints are used to cut off any illegal solution that may occur while solving the integer program. Extensive computational experiments show that the proposed approach is superior to the current state-of-the-art method.

Suggested Citation

  • Ali Mehsin Alyasiry & Michael Forbes & Michael Bulmer, 2019. "An Exact Algorithm for the Pickup and Delivery Problem with Time Windows and Last-in-First-out Loading," Transportation Science, INFORMS, vol. 53(6), pages 1695-1705, November.
    • Handle: RePEc:inm:ortrsc:v:53:y:2019:i:6:p:1695-1705
    DOI: 10.1287/trsc.2019.0905
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    References listed on IDEAS

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    Cited by:

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    5. Huang, Baobin & Tang, Lixin & Baldacci, Roberto & Wang, Gongshu & Sun, Defeng, 2023. "A metaheuristic algorithm for a locomotive routing problem arising in the steel industry," European Journal of Operational Research, Elsevier, vol. 308(1), pages 385-399.
    6. Yang Xia & Tingying Wu & Beixin Xia & Junkang Zhang, 2023. "Truck-Drone Pickup and Delivery Problem with Drone Weight-Related Cost," Sustainability, MDPI, vol. 15(23), pages 1-15, November.
    7. Su, Yue & Dupin, Nicolas & Puchinger, Jakob, 2023. "A deterministic annealing local search for the electric autonomous dial-a-ride problem," European Journal of Operational Research, Elsevier, vol. 309(3), pages 1091-1111.
    8. 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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