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The multiple vehicle pickup and delivery problem with LIFO constraints

Author

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  • Benavent, Enrique
  • Landete, Mercedes
  • Mota, Enrique
  • Tirado, Gregorio

Abstract

This paper approaches a pickup and delivery problem with multiple vehicles in which LIFO conditions are imposed when performing loading and unloading operations and the route durations cannot exceed a given limit. We propose two mixed integer formulations of this problem and a heuristic procedure that uses tabu search in a multi-start framework. The first formulation is a compact one, that is, the number of variables and constraints is polynomial in the number of requests, while the second one contains an exponential number of constraints and is used as the basis of a branch-and-cut algorithm. The performances of the proposed solution methods are evaluated through an extensive computational study using instances of different types that were created by adapting existing benchmark instances. The proposed exact methods are able to optimally solve instances with up to 60 nodes.

Suggested Citation

  • Benavent, Enrique & Landete, Mercedes & Mota, Enrique & Tirado, Gregorio, 2015. "The multiple vehicle pickup and delivery problem with LIFO constraints," European Journal of Operational Research, Elsevier, vol. 243(3), pages 752-762.
    • Handle: RePEc:eee:ejores:v:243:y:2015:i:3:p:752-762
    DOI: 10.1016/j.ejor.2014.12.029
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    References listed on IDEAS

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    1. Gerardo Berbeglia & Jean-François Cordeau & Irina Gribkovskaia & Gilbert Laporte, 2007. "Rejoinder on: Static pickup and delivery problems: a classification scheme and survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 15(1), pages 45-47, July.
    2. Gerardo Berbeglia & Jean-François Cordeau & Irina Gribkovskaia & Gilbert Laporte, 2007. "Static pickup and delivery problems: a classification scheme and survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 15(1), pages 1-31, July.
    3. Cheang, Brenda & Gao, Xiang & Lim, Andrew & Qin, Hu & Zhu, Wenbin, 2012. "Multiple pickup and delivery traveling salesman problem with last-in-first-out loading and distance constraints," European Journal of Operational Research, Elsevier, vol. 223(1), pages 60-75.
    4. Kara, Imdat & Laporte, Gilbert & Bektas, Tolga, 2004. "A note on the lifted Miller-Tucker-Zemlin subtour elimination constraints for the capacitated vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 158(3), pages 793-795, November.
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    Cited by:

    1. Du, Jianhui & Zhang, Zhiqin & Wang, Xu & Lau, Hoong Chuin, 2023. "A hierarchical optimization approach for dynamic pickup and delivery problem with LIFO constraints," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 175(C).
    2. 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.
    3. Pereira, Armando Honorio & Mateus, Geraldo Robson & Urrutia, Sebastián Alberto, 2022. "Valid inequalities and branch-and-cut algorithm for the pickup and delivery traveling salesman problem with multiple stacks," European Journal of Operational Research, Elsevier, vol. 300(1), pages 207-220.
    4. Iassinovskaia, Galina & Limbourg, Sabine & Riane, Fouad, 2017. "The inventory-routing problem of returnable transport items with time windows and simultaneous pickup and delivery in closed-loop supply chains," International Journal of Production Economics, Elsevier, vol. 183(PB), pages 570-582.
    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. 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.

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