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Integration of Drones in Last-Mile Delivery: The Vehicle Routing Problem with Drones

In: Operations Research Proceedings 2018

Author

Listed:
  • Daniel Schermer

    (Technische Universität Kaiserslautern)

Abstract

Recently, there has been a surge of interest, from both practitioners and academic researchers, that concerns the utilization of drones for civil applications. In this work, we are interested in studying the Vehicle Routing Problem with Drones (VRPD). In the VRPD, a fleet of vehicles, each of them equipped with a set of drones, is tasked with serving a given set of customers with minimal makespan. A drone may be launched from and recovered by its assigned vehicle and might move at a different velocity. However, compared to vehicles, drones possess a limited flight endurance and carrying capacity. The VRPD can be formulated as a Mixed Integer Linear Program (MILP) and, consequently, be solved by any standard MILP solver; however, only small-sized instances can be solved within a reasonable amount of time. Hence, for solving large-scale VRPD instances, we propose an algorithm based on Variable Neighborhood Search (VNS). We carried out extensive computational experiments and through our numerical results, we illustrate that drones might be beneficial with regards to a significantly reduced makespan.

Suggested Citation

  • Daniel Schermer, 2019. "Integration of Drones in Last-Mile Delivery: The Vehicle Routing Problem with Drones," Operations Research Proceedings, in: Bernard Fortz & Martine Labbé (ed.), Operations Research Proceedings 2018, pages 17-22, Springer.
    • Handle: RePEc:spr:oprchp:978-3-030-18500-8_3
    DOI: 10.1007/978-3-030-18500-8_3
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    Citations

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    Cited by:

    1. José García & José Lemus-Romani & Francisco Altimiras & Broderick Crawford & Ricardo Soto & Marcelo Becerra-Rozas & Paola Moraga & Alex Paz Becerra & Alvaro Peña Fritz & Jose-Miguel Rubio & Gino Astor, 2021. "A Binary Machine Learning Cuckoo Search Algorithm Improved by a Local Search Operator for the Set-Union Knapsack Problem," Mathematics, MDPI, vol. 9(20), pages 1-19, October.
    2. Wang, Haibo & Alidaee, Bahram, 2023. "White-glove service delivery: A quantitative analysis," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 175(C).
    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. Vicencio-Medina, Salvador J. & Rios-Solis, Yasmin A. & Ibarra-Rojas, Omar Jorge & Cid-Garcia, Nestor M. & Rios-Solis, Leonardo, 2023. "The maximal covering location problem with accessibility indicators and mobile units," Socio-Economic Planning Sciences, Elsevier, vol. 87(PB).

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