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A branch-and-cut algorithm for the vehicle routing problem with drones

Citations

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Cited by:

  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. 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).
  3. 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.
  4. Deng, Menghua & Li, Yuanbo & Ding, Jianpeng & Zhou, Yanlin & Zhang, Lianming, 2024. "Stochastic and robust truck-and-drone routing problems with deadlines: A Benders decomposition approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 190(C).
  5. Soares, Ricardo & Marques, Alexandra & Amorim, Pedro & Parragh, Sophie N., 2024. "Synchronisation in vehicle routing: Classification schema, modelling framework and literature review," European Journal of Operational Research, Elsevier, vol. 313(3), pages 817-840.
  6. 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.
  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. Debao Dai & Hanqi Cai & Shihao Wang, 2025. "Optimization of a Cooperative Truck–Drone Delivery System in Rural China: A Sustainable Logistics Approach for Diverse Terrain Conditions," Sustainability, MDPI, vol. 17(14), pages 1-26, July.
  9. 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.
  10. Abdeljawed Sadok & Jalel Euchi & Patrick Siarry, 2025. "Vehicle routing with multiple UAVs for the last-mile logistics distribution problem: hybrid distributed optimization," Annals of Operations Research, Springer, vol. 351(1), pages 59-99, August.
  11. 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).
  12. Yan, Rui & Zhu, Xiaoping & Zhu, Xiaoning & Peng, Rui, 2023. "Joint optimisation of task abortions and routes of truck-and-drone systems under random attacks," Reliability Engineering and System Safety, Elsevier, vol. 235(C).
  13. Ren, Xuan & Froger, Aurélien & Jabali, Ola & Liang, Gongqian, 2024. "A competitive heuristic algorithm for vehicle routing problems with drones," European Journal of Operational Research, Elsevier, vol. 318(2), pages 469-485.
  14. 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.
  15. Nicola Morandi & Roel Leus & Jannik Matuschke & Hande Yaman, 2023. "The Traveling Salesman Problem with Drones: The Benefits of Retraversing the Arcs," Transportation Science, INFORMS, vol. 57(5), pages 1340-1358, September.
  16. 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).
  17. 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.
  18. Yu, Shaohua & Puchinger, Jakob & Sun, Shudong, 2024. "Electric van-based robot deliveries with en-route charging," European Journal of Operational Research, Elsevier, vol. 317(3), pages 806-826.
  19. Jiang, Jie & Dai, Ying & Yang, Fei & Ma, Zujun, 2024. "A multi-visit flexible-docking vehicle routing problem with drones for simultaneous pickup and delivery services," European Journal of Operational Research, Elsevier, vol. 312(1), pages 125-137.
  20. 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.
  21. 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.
  22. 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).
  23. Yi Li & Min Liu & Dandan Jiang, 2022. "Application of Unmanned Aerial Vehicles in Logistics: A Literature Review," Sustainability, MDPI, vol. 14(21), pages 1-18, November.
  24. Peng, Wenhao & Wang, Dujuan & Yin, Yunqiang & Cheng, T.C.E., 2025. "Multi-agent deep reinforcement learning-based truck-drone collaborative routing with dynamic emergency response," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 195(C).
  25. Morandi, Nicola & Leus, Roel & Matuschke, Jannik & Yaman, Hande, 2023. "The traveling salesman problem with drones: The benefits of retraversing the arcs," Other publications TiSEM 09f54df0-875e-40af-a43d-5, Tilburg University, School of Economics and Management.
  26. Zeng, Jialu & Hu, Yi & Pei, Mingyang, 2026. "Optimizing bidirectional delivery with multiple drones and trucks: a mixed-integer nonlinear model to addressing no-fly zone constraints," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 205(C).
  27. 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.
  28. 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.
  29. Alexander Rave, 2025. "Two-indexed formulation of the traveling salesman problem with multiple drones performing sidekicks and loops," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 47(1), pages 67-104, March.
  30. 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.
  31. Salama, Mohamed R. & Srinivas, Sharan, 2022. "Collaborative truck multi-drone routing and scheduling problem: Package delivery with flexible launch and recovery sites," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 164(C).
  32. 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).
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