IDEAS home Printed from https://ideas.repec.org/a/eee/appene/v400y2025ics0306261925012760.html

Energy-efficient routing for IoT-enabled multi-truck multi-drone pickup and delivery systems

Author

Listed:
  • Bai, Xiaoshan
  • Li, Baode
  • Ullah, Inam
  • Wu, Zongze
  • Basheer, Shakila
  • Bashir, Ali Kashif

Abstract

In the context of Internet of Things (IoT), this paper investigates the task assignment problem in which multiple trucks cooperate with multiple drones to provide package pickup and delivery services to multiple dispersed customers. Each truck, constrained to travel between a set of fixed street/truck stopping points, can carry multiple drones where each one is capable of simultaneously picking up and delivering multiple packages within its loading capacity to provide last-mile package service. The objective is to enhance energy efficiency within this IoT-based delivery ecosystem by minimizing the total travel distance of multiple trucks and drones to serve all customers, which is a variant of the NP-hard vehicle routing problem. Key contributions are twofold. First, to evaluate the quality of an assignment solution from an energy efficiency perspective, a lower bound on the minimum total distance required to serve all the customers is constructed using graph theory. Second, a three-stage task assignment algorithm is proposed, which first uses the Prim clustering strategy to allocate a truck stopping point to serve each customer, then uses the Clarke and Wright algorithm and the minimum marginal cost algorithm to construct the initial routes of the trucks and drones, and finally utilizes an iterative improvement strategy to refine the routes. Numerical simulations show that the designed task assignment algorithm performs well, reducing the total travel distance by 4.36 % on average and 29.57 % in the best case, compared with the popular hybrid Clarke and Wright heuristic algorithm.

Suggested Citation

  • Bai, Xiaoshan & Li, Baode & Ullah, Inam & Wu, Zongze & Basheer, Shakila & Bashir, Ali Kashif, 2025. "Energy-efficient routing for IoT-enabled multi-truck multi-drone pickup and delivery systems," Applied Energy, Elsevier, vol. 400(C).
  • Handle: RePEc:eee:appene:v:400:y:2025:i:c:s0306261925012760
    DOI: 10.1016/j.apenergy.2025.126546
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0306261925012760
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.apenergy.2025.126546?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Zhou, Hang & Qin, Hu & Cheng, Chun & Rousseau, Louis-Martin, 2023. "An exact algorithm for the two-echelon vehicle routing problem with drones," Transportation Research Part B: Methodological, Elsevier, vol. 168(C), pages 124-150.
    4. Li, Jiliu & Xu, Min & Sun, Peng, 2022. "Two-echelon capacitated vehicle routing problem with grouping constraints and simultaneous pickup and delivery," Transportation Research Part B: Methodological, Elsevier, vol. 162(C), pages 261-291.
    5. G. Clarke & J. W. Wright, 1964. "Scheduling of Vehicles from a Central Depot to a Number of Delivery Points," Operations Research, INFORMS, vol. 12(4), pages 568-581, August.
    6. Gao, Jiajing & Zhen, Lu & Laporte, Gilbert & He, Xueting, 2023. "Scheduling trucks and drones for cooperative deliveries," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 178(C).
    7. Chen, Yuanyi & Hu, Simon & Zheng, Yanchong & Xie, Shiwei & Yang, Qiang & Wang, Yubin & Hu, Qinru, 2024. "Coordinated optimization of logistics scheduling and electricity dispatch for electric logistics vehicles considering uncertain electricity prices and renewable generation," Applied Energy, Elsevier, vol. 364(C).
    8. Lu Zhen & Jiajing Gao & Zheyi Tan & Shuaian Wang & Roberto Baldacci, 2023. "Branch-price-and-cut for trucks and drones cooperative delivery," IISE Transactions, Taylor & Francis Journals, vol. 55(3), pages 271-287, March.
    9. John Gunnar Carlsson & Siyuan Song, 2018. "Coordinated Logistics with a Truck and a Drone," Management Science, INFORMS, vol. 64(9), pages 4052-4069, September.
    10. Mohammad Moshref-Javadi & Kristof P. Cauwenberghe & Brent A. McCunney & Ahmad Hemmati, 2023. "Enabling same-day delivery using a drone resupply model with transshipment points," Computational Management Science, Springer, vol. 20(1), pages 1-31, December.
    11. M. W. P. Savelsbergh & M. Sol, 1995. "The General Pickup and Delivery Problem," Transportation Science, INFORMS, vol. 29(1), pages 17-29, February.
    12. Wang, Jiawei & Guo, Qinglai & Sun, Hongbin, 2024. "Planning approach for integrating charging stations and renewable energy sources in low-carbon logistics delivery," Applied Energy, Elsevier, vol. 372(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ramadhan, Fadillah & Irawan, Chandra Ade & Salhi, Said & Cai, Zhao, 2025. "The truck traveling salesman problem with drone and boat for humanitarian relief distribution in flood disaster: Mathematical model and solution methods," European Journal of Operational Research, Elsevier, vol. 322(1), pages 270-291.
    2. Zhu, Waiming & Hu, Xiaoxuan & Pei, Jun & Pardalos, Panos M., 2024. "Minimizing the total travel distance for the locker-based drone delivery: A branch-and-cut-based method," Transportation Research Part B: Methodological, Elsevier, vol. 184(C).
    3. Yang, Hongtai & Wu, Jianzhang & Zhang, Zhaolin & Liu, Xiaobo & D’Ariano, Andrea, 2025. "Optimal design for an urban truck-drone collaborative delivery system enhanced with relay points," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 204(C).
    4. Shi, Zhiyuan & Hong, Shaozhi & Wang, Zeling & Li, Ang, 2026. "Exact solution approaches for the traveling salesman problem with a drone station," European Journal of Operational Research, Elsevier, vol. 328(3), pages 845-861.
    5. Mulumba, Timothy & Diabat, Ali, 2024. "Optimization of the drone-assisted pickup and delivery problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 181(C).
    6. Sun, Wenbo & Wu, Lingxiao & Zhang, Fangni, 2026. "Robust optimization for truck-and-drone collaboration with travel time uncertainties," Transportation Research Part B: Methodological, Elsevier, vol. 204(C).
    7. Madani, Batool & Ndiaye, Malick & Salhi, Said, 2024. "Hybrid truck-drone delivery system with multi-visits and multi-launch and retrieval locations: Mathematical model and adaptive variable neighborhood search with neighborhood categorization," European Journal of Operational Research, Elsevier, vol. 316(1), pages 100-125.
    8. Wang, Feilong & Li, Hongqi & Xiong, Hanxi, 2025. "Truck–drone routing problem with stochastic demand," European Journal of Operational Research, Elsevier, vol. 322(3), pages 854-869.
    9. Meng, Shanshan & Li, Dong & Liu, Jiyin & Chen, Yanru, 2024. "The multi-visit drone-assisted routing problem with soft time windows and stochastic truck travel times," Transportation Research Part B: Methodological, Elsevier, vol. 190(C).
    10. Zhang, Juan & Campbell, James F. & Sweeney, Donald C., 2024. "A continuous approximation approach to integrated truck and drone delivery systems," Omega, Elsevier, vol. 126(C).
    11. Sun, Xuting & Fang, Minghao & Guo, Shu & Hu, Yue, 2024. "UAV-rider coordinated dispatching for the on-demand delivery service provider," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 186(C).
    12. Liu, Wenqian & Liu, Lindong & Qi, Xiangtong, 2024. "Drone resupply with multiple trucks and drones for on-time delivery along given truck routes," European Journal of Operational Research, Elsevier, vol. 318(2), pages 457-468.
    13. Chen, Enming & Zhou, Zhongbao & Li, Ruiyang & Chang, Zhongxiang & Shi, Jianmai, 2024. "The multi-fleet delivery problem combined with trucks, tricycles, and drones for last-mile logistics efficiency requirements under multiple budget constraints," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 187(C).
    14. Jeanette Schmidt & Christian Tilk & Stefan Irnich, 2025. "Exact Solution of the Vehicle Routing Problem with Drones," Transportation Science, INFORMS, vol. 59(1), pages 60-80, January.
    15. Hammami, Farouk & Rekik, Monia & Coelho, Leandro C., 2019. "Exact and heuristic solution approaches for the bid construction problem in transportation procurement auctions with a heterogeneous fleet," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 127(C), pages 150-177.
    16. Cui, Haipeng & Li, Keyu & Jia, Shuai & Meng, Qiang, 2024. "Dynamic collaborative truck-drone delivery with en-route synchronization and random requests," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 192(C).
    17. Lu Zhen & Jiajing Gao & Shuaian Wang & Gilbert Laporte & Xiaohang Yue, 2025. "Optimizing an On-Demand Delivery Mode Based on Trucks and Drones," Transportation Science, INFORMS, vol. 59(5), pages 1008-1031, September.
    18. Campuzano, Giovanni & Lalla-Ruiz, Eduardo & Mes, Martijn, 2025. "Optimizing autonomous multimodal last-mile delivery systems with time windows: Analyzing trade-offs between drones, robots, and trucks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 204(C).
    19. Jeanette Schmidt & Christian Tilk & Stefan Irnich, 2023. "Exact Solution of the Vehicle Routing Problem With Drones," Working Papers 2311, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    20. Li, Hao & Kang, Liujiang & Sun, Huijun & Wu, Jianjun & Zhao, Yue & Amihere, Samuel, 2024. "Fixed Automated stations location and UAVs routing problems in urban road Networks: A tailored Branch-&-price algorithm," Transportation Research Part A: Policy and Practice, Elsevier, vol. 189(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:appene:v:400:y:2025:i:c:s0306261925012760. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/405891/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.