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A multi-start evolutionary local search for the one-commodity pickup and delivery traveling salesman problem

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  • Juan D. Palacio

    (Universidad EAFIT)

  • Juan Carlos Rivera

    (Universidad EAFIT)

Abstract

This article addresses the one-commodity pickup and delivery traveling salesman problem (1-PDTSP), which is a generalization of the well-known traveling salesman problem. The 1-PDTSP aims to find a Hamiltonian tour in which a set of supply points (pickup locations), demand points (delivery locations) are visited and, the total traveled distance is minimized. We propose a hybrid metaheuristic based on multi-start evolutionary local search and variable neighborhood descent to solve the 1-PDTSP. To test the performance of our algorithm, we solve instances with up to 500 nodes available in the literature and we demonstrate that our approach is able to provide competitive results when comparing to other existing strategies. Since a direct application of the 1-PDTSP arises as the bicycle repositioning problem, we also use our metaheuristic algorithm to solve a set of real-case instances based on EnCicla, the bicycle sharing system in the Aburrá Valley (Antioquia, Colombia).

Suggested Citation

  • Juan D. Palacio & Juan Carlos Rivera, 2022. "A multi-start evolutionary local search for the one-commodity pickup and delivery traveling salesman problem," Annals of Operations Research, Springer, vol. 316(2), pages 979-1011, September.
    • Handle: RePEc:spr:annopr:v:316:y:2022:i:2:d:10.1007_s10479-020-03789-0
    DOI: 10.1007/s10479-020-03789-0
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    References listed on IDEAS

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    1. Legros, Benjamin, 2019. "Dynamic repositioning strategy in a bike-sharing system; how to prioritize and how to rebalance a bike station," European Journal of Operational Research, Elsevier, vol. 272(2), pages 740-753.
    2. Zhang, Dong & Yu, Chuhang & Desai, Jitamitra & Lau, H.Y.K. & Srivathsan, Sandeep, 2017. "A time-space network flow approach to dynamic repositioning in bicycle sharing systems," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 188-207.
    3. Hansen, Pierre & Mladenovic, Nenad, 2001. "Variable neighborhood search: Principles and applications," European Journal of Operational Research, Elsevier, vol. 130(3), pages 449-467, May.
    4. G Babin & S Deneault & G Laporte, 2007. "Improvements to the Or-opt heuristic for the symmetric travelling salesman problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(3), pages 402-407, March.
    5. Pierre Hansen & Nenad Mladenović & Raca Todosijević & Saïd Hanafi, 2017. "Variable neighborhood search: basics and variants," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 5(3), pages 423-454, September.
    6. Mladenović, Nenad & Urošević, Dragan & Hanafi, Saı¨d & Ilić, Aleksandar, 2012. "A general variable neighborhood search for the one-commodity pickup-and-delivery travelling salesman problem," European Journal of Operational Research, Elsevier, vol. 220(1), pages 270-285.
    7. Ho, Sin C. & Szeto, W.Y., 2017. "A hybrid large neighborhood search for the static multi-vehicle bike-repositioning problem," Transportation Research Part B: Methodological, Elsevier, vol. 95(C), pages 340-363.
    8. Dell'Amico, Mauro & Hadjicostantinou, Eleni & Iori, Manuel & Novellani, Stefano, 2014. "The bike sharing rebalancing problem: Mathematical formulations and benchmark instances," Omega, Elsevier, vol. 45(C), pages 7-19.
    9. José-Manuel Belenguer & Enrique Benavent & Nacima Labadi & Christian Prins & Mohamed Reghioui, 2010. "Split-Delivery Capacitated Arc-Routing Problem: Lower Bound and Metaheuristic," Transportation Science, INFORMS, vol. 44(2), pages 206-220, May.
    10. Forma, Iris A. & Raviv, Tal & Tzur, Michal, 2015. "A 3-step math heuristic for the static repositioning problem in bike-sharing systems," Transportation Research Part B: Methodological, Elsevier, vol. 71(C), pages 230-247.
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