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New mixed integer-programming model for the pickup-and-delivery problem with transshipment

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  • Rais, A.
  • Alvelos, F.
  • Carvalho, M.S.

Abstract

In recent years, many important real-world applications are studied as “rich” vehicle routing problems that are variants and generalizations of the well-known vehicle routing problem. In this paper we address the pickup-and-delivery version of this problem and consider further generalization by allowing transshipment in the network. Moreover, we allow heterogenous vehicles and flexible fleet size. We describe mixed integer-programming formulations for the problem with and without time windows for services. The number of constraints and variables in the models are bounded by polynomial size of the problem. We discuss several problem variants that are either captured by our models or can be easily captured through simple modifications. Computational work gave promising results and confirms that transshipment in network can indeed enhance optimization.

Suggested Citation

  • Rais, A. & Alvelos, F. & Carvalho, M.S., 2014. "New mixed integer-programming model for the pickup-and-delivery problem with transshipment," European Journal of Operational Research, Elsevier, vol. 235(3), pages 530-539.
    • Handle: RePEc:eee:ejores:v:235:y:2014:i:3:p:530-539
    DOI: 10.1016/j.ejor.2013.10.038
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    17. Wolfinger, David & Salazar-González, Juan-José, 2021. "The Pickup and Delivery Problem with Split Loads and Transshipments: A Branch-and-Cut Solution Approach," European Journal of Operational Research, Elsevier, vol. 289(2), pages 470-484.
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    20. Falkenberg, Sven F. & Spinler, Stefan & Strauss, Arne K., 2024. "An algorithm for flexible transshipments with perfect synchronization," European Journal of Operational Research, Elsevier, vol. 315(3), pages 913-925.
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    22. Mahmoudi, Monirehalsadat & Chen, Junhua & Shi, Tie & Zhang, Yongxiang & Zhou, Xuesong, 2019. "A cumulative service state representation for the pickup and delivery problem with transfers," Transportation Research Part B: Methodological, Elsevier, vol. 129(C), pages 351-380.
    23. Fu, Zhexi & Chow, Joseph Y.J., 2022. "The pickup and delivery problem with synchronized en-route transfers for microtransit planning," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 157(C).
    24. Arslan, A.M. & Agatz, N.A.H. & Srour, F.J., 2023. "Model Formulations for Pickup and Delivery Problems in Designated Driver Services," ERIM Report Series Research in Management ERS-2023-004-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.

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