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Matheuristic algorithms for the parallel drone scheduling traveling salesman problem

Author

Listed:
  • Mauro Dell’Amico

    (University of Modena and Reggio Emilia)

  • Roberto Montemanni

    (University of Modena and Reggio Emilia)

  • Stefano Novellani

    (University of Modena and Reggio Emilia)

Abstract

In a near future drones are likely to become a viable way of distributing parcels in a urban environment. In this paper we consider the parallel drone scheduling traveling salesman problem, where a set of customers requiring a delivery is split between a truck and a fleet of drones, with the aim of minimizing the total time required to service all the customers. We present a set of matheuristic methods for the problem. The new approaches are validated via an experimental campaign on two sets of benchmarks available in the literature. It is shown that the approaches we propose perform very well on small/medium size instances. Solving a mixed integer linear programming model to optimality leads to the first optimality proof for all the instances with 20 customers considered, while the heuristics are shown to be fast and effective on the same dataset. When considering larger instances with 48 to 229 customers, the results are competitive with state-of-the-art methods and lead to 28 new best known solutions out of the 90 instances considered.

Suggested Citation

  • Mauro Dell’Amico & Roberto Montemanni & Stefano Novellani, 2020. "Matheuristic algorithms for the parallel drone scheduling traveling salesman problem," Annals of Operations Research, Springer, vol. 289(2), pages 211-226, June.
    • Handle: RePEc:spr:annopr:v:289:y:2020:i:2:d:10.1007_s10479-020-03562-3
    DOI: 10.1007/s10479-020-03562-3
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    References listed on IDEAS

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    1. Gerhard Reinelt, 1991. "TSPLIB—A Traveling Salesman Problem Library," INFORMS Journal on Computing, INFORMS, vol. 3(4), pages 376-384, November.
    2. Helsgaun, Keld, 2000. "An effective implementation of the Lin-Kernighan traveling salesman heuristic," European Journal of Operational Research, Elsevier, vol. 126(1), pages 106-130, October.
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    Cited by:

    1. Nils Boysen & Stefan Fedtke & Stefan Schwerdfeger, 2021. "Last-mile delivery concepts: a survey from an operational research perspective," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 43(1), pages 1-58, March.
    2. Li, Hongqi & Chen, Jun & Wang, Feilong & Bai, Ming, 2021. "Ground-vehicle and unmanned-aerial-vehicle routing problems from two-echelon scheme perspective: A review," European Journal of Operational Research, Elsevier, vol. 294(3), pages 1078-1095.
    3. Kloster, Konstantin & Moeini, Mahdi & Vigo, Daniele & Wendt, Oliver, 2023. "The multiple traveling salesman problem in presence of drone- and robot-supported packet stations," European Journal of Operational Research, Elsevier, vol. 305(2), pages 630-643.
    4. Michael Dienstknecht & Nils Boysen & Dirk Briskorn, 2022. "The traveling salesman problem with drone resupply," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(4), pages 1045-1086, December.
    5. Dell’Amico, Mauro & Montemanni, Roberto & Novellani, Stefano, 2021. "Algorithms based on branch and bound for the flying sidekick traveling salesman problem," Omega, Elsevier, vol. 104(C).
    6. Nguyen, Minh Anh & Dang, Giang Thi-Huong & Hà, Minh Hoàng & Pham, Minh-Trien, 2022. "The min-cost parallel drone scheduling vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 299(3), pages 910-930.
    7. Giuseppe Aiello & Rosalinda Inguanta & Giusj D’Angelo & Mario Venticinque, 2021. "Energy Consumption Model of Aerial Urban Logistic Infrastructures," Energies, MDPI, vol. 14(18), pages 1-19, September.
    8. Tiniç, Gizem Ozbaygin & Karasan, Oya E. & Kara, Bahar Y. & Campbell, James F. & Ozel, Aysu, 2023. "Exact solution approaches for the minimum total cost traveling salesman problem with multiple drones," Transportation Research Part B: Methodological, Elsevier, vol. 168(C), pages 81-123.
    9. Mbiadou Saleu, Raïssa G. & Deroussi, Laurent & Feillet, Dominique & Grangeon, Nathalie & Quilliot, Alain, 2022. "The parallel drone scheduling problem with multiple drones and vehicles," European Journal of Operational Research, Elsevier, vol. 300(2), pages 571-589.

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