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Parcel delivery by vehicle and drone in ordered customer neighborhoods

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  • Ghoniem, Ahmed
  • Boz, Semih
  • El-Adle, Amro M.

Abstract

We consider a last-mile parcel delivery problem where a vehicle with a companion drone visits a set of ordered neighborhoods, following a line of travel that starts and ends at the depot. The decision-maker restricts the drone to fly within the neighborhood being serviced by the vehicle and seeks to optimize the vehicle and drone operations so that the total time to return to the depot, upon completing all deliveries, is minimized. The problem is formulated as a mixed-integer program, which is enhanced via cut-set constraints and valid inequalities derived using the Reformulation-Linearization Technique (RLT). Further, we investigate the logistical and computational effects of optionally imposing street precedence rules, based on training data from numerous optimized solutions for instances constructed in Amherst, MA (USA). Our study examines the computational tractability of the baseline model, the usefulness of imposing valid inequalities, and the impact of enforcing street precedence rules. Remarkably, enforcing RLT-based valid inequalities enables, in our experience, optimal solutions for instances having up to 200 customers within manageable times, thereby yielding a practical optimization-based framework for decision-makers.

Suggested Citation

  • Ghoniem, Ahmed & Boz, Semih & El-Adle, Amro M., 2025. "Parcel delivery by vehicle and drone in ordered customer neighborhoods," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 197(C).
    • Handle: RePEc:eee:transe:v:197:y:2025:i:c:s1366554525000882
    DOI: 10.1016/j.tre.2025.104047
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    References listed on IDEAS

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    1. Uğur Arıkan & Thorsten Kranz & Baris Cem Sal & Severin Schmitt & Jonas Witt, 2023. "Human-Centric Parcel Delivery at Deutsche Post with Operations Research and Machine Learning," Interfaces, INFORMS, vol. 53(5), pages 359-371, September.
    2. Nils Boysen & Stefan Fedtke & Stefan Schwerdfeger, 2021. "Last-mile delivery concepts: a survey from an operational research perspective," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 43(1), pages 1-58, March.
    3. Amro M. El-Adle & Ahmed Ghoniem & Mohamed Haouari, 2021. "Parcel delivery by vehicle and drone," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 72(2), pages 398-416, February.
    4. Quirion-Blais, Olivier & Chen, Lu, 2021. "A case-based reasoning approach to solve the vehicle routing problem with time windows and drivers’ experience," Omega, Elsevier, vol. 102(C).
    5. Hanif D. Sherali & Patrick J. Driscoll, 2002. "On Tightening the Relaxations of Miller-Tucker-Zemlin Formulations for Asymmetric Traveling Salesman Problems," Operations Research, INFORMS, vol. 50(4), pages 656-669, August.
    6. Stefan Poikonen & Bruce Golden & Edward A. Wasil, 2019. "A Branch-and-Bound Approach to the Traveling Salesman Problem with a Drone," INFORMS Journal on Computing, INFORMS, vol. 31(2), pages 335-346, April.
    7. Mbiadou Saleu, Raïssa G. & Deroussi, Laurent & Feillet, Dominique & Grangeon, Nathalie & Quilliot, Alain, 2022. "The parallel drone scheduling problem with multiple drones and vehicles," European Journal of Operational Research, Elsevier, vol. 300(2), pages 571-589.
    8. Niels Agatz & Paul Bouman & Marie Schmidt, 2018. "Optimization Approaches for the Traveling Salesman Problem with Drone," Transportation Science, INFORMS, vol. 52(4), pages 965-981, August.
    9. 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).
    10. 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).
    11. Roberto Roberti & Mario Ruthmair, 2021. "Exact Methods for the Traveling Salesman Problem with Drone," Transportation Science, INFORMS, vol. 55(2), pages 315-335, March.
    12. Meng, Shanshan & Guo, Xiuping & Li, Dong & Liu, Guoquan, 2023. "The multi-visit drone routing problem for pickup and delivery services," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 169(C).
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