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The Traveling Salesman Problem with Pickups, Deliveries, and Handling Costs

Author

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  • Maria Battarra

    (Dipartimento di Elettronica, Informatica e Sistemica, University of Bologna, 47521 Cesena (FC), Italy)

  • Güneş Erdoğan

    (Department of Industrial Engineering, Özyeğin University, 34662 Altunizade, İstanbul, Turkey)

  • Gilbert Laporte

    (Department of Management Sciences, HEC Montréal, Montréal, Québec J3T 247, Canada)

  • Daniele Vigo

    (Dipartimento di Elettronica, Informatica e Sistemica, University of Bologna, 47521 Cesena (FC), Italy)

Abstract

This paper introduces a new variant of the one-to-many-to-one single vehicle pickup and delivery problems (SVPDP) that incorporates the handling cost incurred when rearranging the load at the customer locations. The simultaneous optimization of routing and handling costs is difficult, and the resulting loading patterns are hard to implement in practice. However, this option makes economical sense in contexts where the routing cost dominates the handling cost. We have proposed some simplified policies applicable to such contexts. The first is a two-phase heuristic in which the tour having minimum routing cost is initially determined by optimally solving an SVPDP, and the optimal handling policy is then determined for that tour. In addition, branch-and-cut algorithms based on integer linear programming formulations are proposed, in which routing and handling decisions are simultaneously optimized, but the handling decisions are restricted to three simplified policies. The formulations are strengthened by means of problem specific valid inequalities. The proposed methods have been extensively tested on instances involving up to 25 customers and hundreds of items. Our results show the impact of the handling aspect on the customer sequencing and indicate that the simplified handling policies favorably compare with the optimal one.

Suggested Citation

  • Maria Battarra & Güneş Erdoğan & Gilbert Laporte & Daniele Vigo, 2010. "The Traveling Salesman Problem with Pickups, Deliveries, and Handling Costs," Transportation Science, INFORMS, vol. 44(3), pages 383-399, August.
    • Handle: RePEc:inm:ortrsc:v:44:y:2010:i:3:p:383-399
    DOI: 10.1287/trsc.1100.0316
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    References listed on IDEAS

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    2. 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.
    3. Carlos A. Vega-Mejía & Jairo R. Montoya-Torres & Sardar M. N. Islam, 2019. "Consideration of triple bottom line objectives for sustainability in the optimization of vehicle routing and loading operations: a systematic literature review," Annals of Operations Research, Springer, vol. 273(1), pages 311-375, February.
    4. Güneş Erdoğan & E. Alper Y?ld?r?m, 2021. "Exact and Heuristic Algorithms for the Carrier–Vehicle Traveling Salesman Problem," Transportation Science, INFORMS, vol. 55(1), pages 101-121, 1-2.
    5. Vidal, Thibaut & Laporte, Gilbert & Matl, Piotr, 2020. "A concise guide to existing and emerging vehicle routing problem variants," European Journal of Operational Research, Elsevier, vol. 286(2), pages 401-416.
    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. Gilbert Laporte, 2010. "Comments on: Routing problems with loading constraints," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 18(1), pages 28-30, July.
    8. 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.
    9. 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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