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Exact and Heuristic Algorithms for the Carrier–Vehicle Traveling Salesman Problem

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  • Güneş Erdoğan

    (School of Management, University of Bath, Bath BA2 7AY, United Kingdom;)

  • E. Alper Y?ld?r?m

    (School of Mathematics, The University of Edinburgh, Edinburgh EH9 3FD, United Kingdom)

Abstract

This paper presents new structural properties for the carrier–vehicle traveling salesman problem. The authors provide a new mixed-integer second-order conic optimization formulation, with associated optimality cuts based on the structural properties, and an iterated local search (ILS) algorithm. Computational experiments on instances from the literature demonstrate the superiority of the new formulation to the existing models and algorithms in the literature, and the high-quality solutions found by the ILS algorithm.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:ortrsc:v:55:y:2021:i:1:p:101-121
    DOI: 10.1287/trsc.2020.0999
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    References listed on IDEAS

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    1. 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.
    2. Stefan Poikonen & Bruce Golden & Edward A. Wasil, 2019. "A Branch-and-Bound Approach to the Traveling Salesman Problem with a Drone," INFORMS Journal on Computing, INFORMS, vol. 31(2), pages 335-346, April.
    3. Claudio Gambella & Andrea Lodi & Daniele Vigo, 2018. "Exact Solutions for the Carrier–Vehicle Traveling Salesman Problem," Transportation Science, INFORMS, vol. 52(2), pages 320-330, March.
    4. Niels Agatz & Paul Bouman & Marie Schmidt, 2018. "Optimization Approaches for the Traveling Salesman Problem with Drone," Transportation Science, INFORMS, vol. 52(4), pages 965-981, August.
    5. Stefan Poikonen & Bruce Golden, 2020. "The Mothership and Drone Routing Problem," INFORMS Journal on Computing, INFORMS, vol. 32(2), pages 249-262, April.
    6. Walton Pereira Coutinho & Roberto Quirino do Nascimento & Artur Alves Pessoa & Anand Subramanian, 2016. "A Branch-and-Bound Algorithm for the Close-Enough Traveling Salesman Problem," INFORMS Journal on Computing, INFORMS, vol. 28(4), pages 752-765, November.
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