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Drone routing problem with swarm synchronization

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  • Li, Hongqi
  • Wang, Feilong
  • Zhan, Zhuopeng

Abstract

The advantages of rotary-wing drone (RWD) delivery modes have already been delineated. However, single-unit RWDs do not completely solve real problems in last-mile parcel deliveries because of limited payload capacity and flight endurance. Currently, drone swarm technology is being rapidly developed. An RWD swarm can deliver heavy or multiple packages to customers; therefore, the RWD swarm strategy can address the payload capacity limitation of RWDs. Herein, an RWD delivery mode that involves dynamic swarms of RWDs in addition to single-unit RWDs is explored. The “dynamic” characteristic permits the RWD members in swarms to vary by coupling/decoupling operations at nodes. From the routing plan perspective, using RWD swarms for last-mile parcel deliveries is challenging; accordingly, we introduce a swarm synchronization mode that involves interactions among RWD routes. We formally define the drone routing problem with swarm synchronization (DRP-SS) and develop a mixed-integer linear programming model, which considers the decision on RWD swarms and multi trips. An adaptive large neighborhood search heuristic with specific operators is proposed. In the computational experiments, both small- and large-scale instances are used to validate the effectiveness of the mathematical formulation and the heuristic. Several managerial insights are obtained regarding the influence of detours, the utilization of RWD swarms, and the benefits of multi trips. The DRP-SS model and solution method can be used to estimate the performance of the selection of RWD swarms in practical situations.

Suggested Citation

  • Li, Hongqi & Wang, Feilong & Zhan, Zhuopeng, 2024. "Drone routing problem with swarm synchronization," European Journal of Operational Research, Elsevier, vol. 314(2), pages 477-495.
    • Handle: RePEc:eee:ejores:v:314:y:2024:i:2:p:477-495
    DOI: 10.1016/j.ejor.2023.10.015
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    References listed on IDEAS

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    1. Ahmed, Gamil & Sheltami, Tarek & Mahmoud, Ashraf & Yasar, Ansar, 2020. "IoD swarms collision avoidance via improved particle swarm optimization," Transportation Research Part A: Policy and Practice, Elsevier, vol. 142(C), pages 260-278.
    2. Cheng, Chun & Adulyasak, Yossiri & Rousseau, Louis-Martin, 2020. "Drone routing with energy function: Formulation and exact algorithm," Transportation Research Part B: Methodological, Elsevier, vol. 139(C), pages 364-387.
    3. Pan, Binbin & Zhang, Zhenzhen & Lim, Andrew, 2021. "Multi-trip time-dependent vehicle routing problem with time windows," European Journal of Operational Research, Elsevier, vol. 291(1), pages 218-231.
    4. Michael Drexl, 2012. "Synchronization in Vehicle Routing---A Survey of VRPs with Multiple Synchronization Constraints," Transportation Science, INFORMS, vol. 46(3), pages 297-316, August.
    5. Stefan Ropke & David Pisinger, 2006. "An Adaptive Large Neighborhood Search Heuristic for the Pickup and Delivery Problem with Time Windows," Transportation Science, INFORMS, vol. 40(4), pages 455-472, November.
    6. Fazi, Stefano & Choudhary, Sourabh Kumar & Dong, Jing-Xin, 2023. "The multi-trip container drayage problem with synchronization for efficient empty containers re-usage," European Journal of Operational Research, Elsevier, vol. 310(1), pages 343-359.
    7. Yu, Vincent F. & Jodiawan, Panca & Hou, Ming-Lu & Gunawan, Aldy, 2021. "Design of a two-echelon freight distribution system in last-mile logistics considering covering locations and occasional drivers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 154(C).
    8. Jiliu Li & Zhixing Luo & Roberto Baldacci & Hu Qin & Zhou Xu, 2023. "A New Exact Algorithm for Single-Commodity Vehicle Routing with Split Pickups and Deliveries," INFORMS Journal on Computing, INFORMS, vol. 35(1), pages 31-49, January.
    9. Demir, Emrah & Bektaş, Tolga & Laporte, Gilbert, 2012. "An adaptive large neighborhood search heuristic for the Pollution-Routing Problem," European Journal of Operational Research, Elsevier, vol. 223(2), pages 346-359.
    10. Li, Jiliu & Qin, Hu & Baldacci, Roberto & Zhu, Wenbin, 2020. "Branch-and-price-and-cut for the synchronized vehicle routing problem with split delivery, proportional service time and multiple time windows," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 140(C).
    11. Andrew Lim & Zhenzhen Zhang & Hu Qin, 2017. "Pickup and Delivery Service with Manpower Planning in Hong Kong Public Hospitals," Transportation Science, INFORMS, vol. 51(2), pages 688-705, May.
    12. Zhen, Lu & Ma, Chengle & Wang, Kai & Xiao, Liyang & Zhang, Wei, 2020. "Multi-depot multi-trip vehicle routing problem with time windows and release dates," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 135(C).
    13. Nicola Bianchessi & Stefan Irnich, 2019. "Branch-and-Cut for the Split Delivery Vehicle Routing Problem with Time Windows," Transportation Science, INFORMS, vol. 53(2), pages 442-462, March.
    14. Fink, Martin & Desaulniers, Guy & Frey, Markus & Kiermaier, Ferdinand & Kolisch, Rainer & Soumis, François, 2019. "Column generation for vehicle routing problems with multiple synchronization constraints," European Journal of Operational Research, Elsevier, vol. 272(2), pages 699-711.
    15. Hossein Hashemi Doulabi & Gilles Pesant & Louis-Martin Rousseau, 2020. "Vehicle Routing Problems with Synchronized Visits and Stochastic Travel and Service Times: Applications in Healthcare," Transportation Science, INFORMS, vol. 54(4), pages 1053-1072, July.
    16. 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.
    17. Diego Pecin & Claudio Contardo & Guy Desaulniers & Eduardo Uchoa, 2017. "New Enhancements for the Exact Solution of the Vehicle Routing Problem with Time Windows," INFORMS Journal on Computing, INFORMS, vol. 29(3), pages 489-502, August.
    18. Rajaei, Maryam & Moslehi, Ghasem & Reisi-Nafchi, Mohammad, 2022. "The split heterogeneous vehicle routing problem with three-dimensional loading constraints on a large scale," European Journal of Operational Research, Elsevier, vol. 299(2), pages 706-721.
    19. Li, Hongqi & Wang, Haotian & Chen, Jun & Bai, Ming, 2020. "Two-echelon vehicle routing problem with time windows and mobile satellites," Transportation Research Part B: Methodological, Elsevier, vol. 138(C), pages 179-201.
    20. Frey, Christian M.M. & Jungwirth, Alexander & Frey, Markus & Kolisch, Rainer, 2023. "The vehicle routing problem with time windows and flexible delivery locations," European Journal of Operational Research, Elsevier, vol. 308(3), pages 1142-1159.
    21. Marius M. Solomon, 1987. "Algorithms for the Vehicle Routing and Scheduling Problems with Time Window Constraints," Operations Research, INFORMS, vol. 35(2), pages 254-265, April.
    22. Maliheh Khorsi & Seyed Kamal Chaharsooghi & Ali Husseinzadeh Kashan & Ali Bozorgi-Amiri, 2022. "Solving the humanitarian multi-trip cumulative capacitated routing problem via a grouping metaheuristic algorithm," Annals of Operations Research, Springer, vol. 319(1), pages 173-210, December.
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