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A branch-and-price-and-cut algorithm for the truck-based drone delivery routing problem with time windows

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  • Yin, Yunqiang
  • Li, Dongwei
  • Wang, Dujuan
  • Ignatius, Joshua
  • Cheng, T.C.E.
  • Wang, Sutong

Abstract

Increasing e-commerce activities poses a tough challenge for logistics distribution. With the development of new technology, firms attempt to leverage drones for parcel delivery to improve delivery efficiency and reduce overall costs. We consider the truck-based drone delivery routing problem with time windows. In our setting, a set of trucks and drones (each truck is associated with a drone) collaborate to serve customers, where a drone can take off from its associated truck at a node, independently serve one or more customers within the time windows, and return to the truck at another node along the truck route. To solve the problem, we develop an enhanced branch-and-price-and-cut algorithm incorporating a bounded bidirectional labelling algorithm to solve the challenging pricing problem. To improve the algorithm, we use the subset-row inequalities to tighten the lower bound and apply enhancement strategies, which solve the pricing problem efficiency. We perform extensive numerical studies to evaluate the performance of the developed algorithm, assess the gain of the truck-based drone delivery over the truck-only delivery, and provide some managerial insights.

Suggested Citation

  • Yin, Yunqiang & Li, Dongwei & Wang, Dujuan & Ignatius, Joshua & Cheng, T.C.E. & Wang, Sutong, 2023. "A branch-and-price-and-cut algorithm for the truck-based drone delivery routing problem with time windows," European Journal of Operational Research, Elsevier, vol. 309(3), pages 1125-1144.
    • Handle: RePEc:eee:ejores:v:309:y:2023:i:3:p:1125-1144
    DOI: 10.1016/j.ejor.2023.02.030
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    References listed on IDEAS

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    Cited by:

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    2. Tamás Bányai, 2023. "Energy Efficiency of AGV-Drone Joint In-Plant Supply of Production Lines," Energies, MDPI, vol. 16(10), pages 1-28, May.
    3. Yin, Yunqiang & Yang, Yongjian & Yu, Yugang & Wang, Dujuan & Cheng, T.C.E., 2023. "Robust vehicle routing with drones under uncertain demands and truck travel times in humanitarian logistics," Transportation Research Part B: Methodological, Elsevier, vol. 174(C).
    4. 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.
    5. Meng, Shanshan & Chen, Yanru & Li, Dong, 2024. "The multi-visit drone-assisted pickup and delivery problem with time windows," European Journal of Operational Research, Elsevier, vol. 314(2), pages 685-702.
    6. 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).

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