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The pickup and delivery problem with transshipments: Critical review of two existing models and a new formulation

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  • Lyu, Zefeng
  • Yu, Andrew Junfang

Abstract

The pickup and delivery problem with transshipments (PDP-T) is generalized from the classical pickup and delivery problem (PDP) by allowing the transfer of requests between vehicles. After considering the time window constraints, the PDP-T is further generalized to the pickup and delivery problem with time windows and transshipments (PDPTW-T). In this paper, we review two state-of-the-art models for the PDP-T and PDPTW-T. We point out the possible issues existing in the models and provide our revisions. In addition, we develop a new mixed-integer linear programming formulation to solve the PDP-T and PDPTW-T. The performance of the proposed model is evaluated by solving 340 generated PDP-T instances and 360 open-access PDPTW-T instances. Computational results show that the proposed model outperforms the existing models in terms of solution quality and computing time. PTP-T instances with up to 25 requests and 2 transfer stations are solved to optimality by using the proposed model. As a comparison, the best-known benchmarks in the literature are instances with 5 requests and 1 transfer station. In addition, the computing time is significantly reduced. In our experiments, the average computational time for solving PDP-T is reduced by 96%. For PDPTW-T instances, the solvable scale is increased from 3 requests and 4 transfer stations to 5 requests and 4 transfer stations. The average computing time is reduced by 40%.

Suggested Citation

  • Lyu, Zefeng & Yu, Andrew Junfang, 2023. "The pickup and delivery problem with transshipments: Critical review of two existing models and a new formulation," European Journal of Operational Research, Elsevier, vol. 305(1), pages 260-270.
    • Handle: RePEc:eee:ejores:v:305:y:2023:i:1:p:260-270
    DOI: 10.1016/j.ejor.2022.05.053
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    References listed on IDEAS

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