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Multiple pickup and delivery traveling salesman problem with last-in-first-out loading and distance constraints

Author

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  • Cheang, Brenda
  • Gao, Xiang
  • Lim, Andrew
  • Qin, Hu
  • Zhu, Wenbin

Abstract

We extend the traveling salesman problem with pickup and delivery and LIFO loading (TSPPDL) by considering two additional factors, namely the use of multiple vehicles and a limitation on the total distance that a vehicle can travel; both of these factors occur commonly in practice. We call the resultant problem the multiple pickup and delivery traveling salesman problem with LIFO loading and distance constraints (MTSPPD-LD). This paper presents a thorough preliminary investigation of the MTSPPD-LD. We propose six new neighborhood operators for the problem that can be used in search heuristics or meta-heuristics. We also devise a two-stage approach for solving the problem, where the first stage focuses on minimizing the number of vehicles required and the second stage minimizes the total travel distance. We consider two possible approaches for the first stage (simulated annealing and ejection pool) and two for the second stage (variable neighborhood search and probabilistic tabu search). Our computational results serve as benchmarks for future researchers on the problem.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:223:y:2012:i:1:p:60-75
    DOI: 10.1016/j.ejor.2012.06.019
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    6. 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.
    7. García-Martínez, C. & Rodriguez, F.J. & Lozano, M., 2014. "Tabu-enhanced iterated greedy algorithm: A case study in the quadratic multiple knapsack problem," European Journal of Operational Research, Elsevier, vol. 232(3), pages 454-463.
    8. 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.
    9. 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.
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