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Optimization Approaches for the Traveling Salesman Problem with Drone

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  • Agatz, N.A.H.
  • Bouman, P.C.
  • Schmidt, M.E.

Abstract

The fast and cost-efficient home delivery of goods ordered online is logistically challenging. Many companies are looking for new ways to cross the last-mile to their customers. One technology-enabled opportunity that recently has received much at- tention is the use of a drone to support deliveries. An innovative last-mile delivery concept in which a truck collaborates with a drone to make deliveries gives rise to a new variant of the traveling salesman problem (TSP) that we call the TSP with drone. In this paper, we model this problem as an IP and develop several fast route first-cluster second heuristics based on local search and dynamic programming. We prove worst-case approximation ratios for the heuristics and test their performance by comparing the solutions to the optimal solutions for small instances. In addition, we apply our heuristics to several artificial instances with different characteristics and sizes. Our experiments show that substantial savings are possible with this concept in comparison to truck-only delivery.

Suggested Citation

  • Agatz, N.A.H. & Bouman, P.C. & Schmidt, M.E., 2016. "Optimization Approaches for the Traveling Salesman Problem with Drone," ERIM Report Series Research in Management ERS-2015-011-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    • Handle: RePEc:ems:eureri:78472
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    References listed on IDEAS

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    Cited by:

    1. Wusheng Liu & Wang Li & Qing Zhou & Qian Die & Yan Yang, 2022. "The optimization of the "UAV-vehicle" joint delivery route considering mountainous cities," PLOS ONE, Public Library of Science, vol. 17(3), pages 1-21, March.
    2. Jiyoon Park & Solhee Kim & Kyo Suh, 2018. "A Comparative Analysis of the Environmental Benefits of Drone-Based Delivery Services in Urban and Rural Areas," Sustainability, MDPI, vol. 10(3), pages 1-15, March.
    3. Farzaneh, Mohammad Amin & Rezapour, Shabnam & Baghaian, Atefe & Amini, M. Hadi, 2023. "An integrative framework for coordination of damage assessment, road restoration, and relief distribution in disasters," Omega, Elsevier, vol. 115(C).
    4. Oruc, Buse Eylul & Kara, Bahar Yetis, 2018. "Post-disaster assessment routing problem," Transportation Research Part B: Methodological, Elsevier, vol. 116(C), pages 76-102.
    5. Haoran Zhao & Huiru Zhao & Sen Guo, 2018. "Short-Term Wind Electric Power Forecasting Using a Novel Multi-Stage Intelligent Algorithm," Sustainability, MDPI, vol. 10(3), pages 1-19, March.
    6. Iman Dayarian & Martin Savelsbergh & John-Paul Clarke, 2020. "Same-Day Delivery with Drone Resupply," Transportation Science, INFORMS, vol. 54(1), pages 229-249, January.

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    Keywords

    traveling salesman problem; vehicle routing; drones; home delivery;
    All these keywords.

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