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Branch-Price-and-Cut Algorithms for the Pickup and Delivery Problem with Time Windows and Last-in-First-Out Loading

Author

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  • Marilène Cherkesly

    (École Polytechnique de Montréal, Montréal, Quebec H3T 1J4, Canada; and GERAD, Montréal, Quebec H3T 2A7, Canada)

  • Guy Desaulniers

    (École Polytechnique de Montréal, Montréal, Quebec H3T 1J4, Canada; and GERAD, Montréal, Quebec H3T 2A7, Canada)

  • Gilbert Laporte

    (HEC Montréal, Montréal, Quebec H3T 2A7, Canada; CIRRELT, Montréal, Quebec H3T 1J4, Canada; and GERAD, Montréal, Quebec H3T 2A7, Canada)

Abstract

This paper proposes models and algorithms for the pickup and delivery vehicle routing problem with time windows and last-in-first-out (LIFO) loading constraints (PDPTWL). The LIFO loading rule ensures that no handling is required prior to unloading an item from a vehicle: a linear stack loading structure is maintained and an item can only be delivered if it is the last one in the stack. Three exact branch-price-and-cut algorithms are proposed for this problem. The first incorporates the LIFO constraints in the master problem. The second one handles the LIFO constraints directly in the shortest path pricing problem. It applies a dynamic programming algorithm relying on an ad hoc dominance criterion. The third algorithm is a hybrid between the first two methods. Known valid inequalities are adapted to the PDPTWL and the impact of different path relaxations on the total computation time is investigated. Computational results obtained on instances derived from known instances of the pickup and delivery problem with time windows (PDPTW) are reported.

Suggested Citation

  • Marilène Cherkesly & Guy Desaulniers & Gilbert Laporte, 2015. "Branch-Price-and-Cut Algorithms for the Pickup and Delivery Problem with Time Windows and Last-in-First-Out Loading," Transportation Science, INFORMS, vol. 49(4), pages 752-766, November.
    • Handle: RePEc:inm:ortrsc:v:49:y:2015:i:4:p:752-766
    DOI: 10.1287/trsc.2014.0535
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    References listed on IDEAS

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    4. Schaumann, Sarah K. & Bergmann, Felix M. & Wagner, Stephan M. & Winkenbach, Matthias, 2023. "Route efficiency implications of time windows and vehicle capacities in first- and last-mile logistics," European Journal of Operational Research, Elsevier, vol. 311(1), pages 88-111.
    5. Bombelli, Alessandro & Fazi, Stefano, 2022. "The ground handler dock capacitated pickup and delivery problem with time windows: A collaborative framework for air cargo operations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 159(C).
    6. 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.
    7. Cherkesly, Marilène & Desaulniers, Guy & Irnich, Stefan & Laporte, Gilbert, 2016. "Branch-price-and-cut algorithms for the pickup and delivery problem with time windows and multiple stacks," European Journal of Operational Research, Elsevier, vol. 250(3), pages 782-793.
    8. Timo Hintsch & Stefan Irnich, 2018. "Exact Solution of the Soft-Clustered Vehicle Routing Problem," Working Papers 1813, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    9. Luciano Costa & Claudio Contardo & Guy Desaulniers, 2019. "Exact Branch-Price-and-Cut Algorithms for Vehicle Routing," Transportation Science, INFORMS, vol. 53(4), pages 946-985, July.
    10. Dessouky, Maged & Mahtab, Zuhayer, 2022. "The Ridesharing Routing Problem with Flexible Pickup and Drop-off Points," Institute of Transportation Studies, Working Paper Series qt3107w642, Institute of Transportation Studies, UC Davis.
    11. Veenstra, Marjolein & Roodbergen, Kees Jan & Vis, Iris F.A. & Coelho, Leandro C., 2017. "The pickup and delivery traveling salesman problem with handling costs," European Journal of Operational Research, Elsevier, vol. 257(1), pages 118-132.
    12. Qiu, Yuzhuo & Ni, Ming & Wang, Liang & Li, Qinqin & Fang, Xuanjing & Pardalos, Panos M., 2018. "Production routing problems with reverse logistics and remanufacturing," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 111(C), pages 87-100.
    13. Xuanjing Fang & Yanan Du & Yuzhuo Qiu, 2017. "Reducing Carbon Emissions in a Closed-Loop Production Routing Problem with Simultaneous Pickups and Deliveries under Carbon Cap-and-Trade," Sustainability, MDPI, vol. 9(12), pages 1-15, November.
    14. Gschwind, Timo & Irnich, Stefan & Rothenbächer, Ann-Kathrin & Tilk, Christian, 2018. "Bidirectional labeling in column-generation algorithms for pickup-and-delivery problems," European Journal of Operational Research, Elsevier, vol. 266(2), pages 521-530.
    15. 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.
    16. Guy Desaulniers & Diego Pecin & Claudio Contardo, 2019. "Selective pricing in branch-price-and-cut algorithms for vehicle routing," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 8(2), pages 147-168, June.
    17. 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.

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