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Dynamic Programming Approaches for the Traveling Salesman Problem with Drone

Author

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

Abstract

A promising new delivery model involves the use of a delivery truck that collaborates with a drone to make deliveries. Effectively combining a truck and a drone gives rise to a new planning problem that is known as the Traveling Salesman Problem with Drone (TSP-D). This paper presents exact solution approaches for the TSP-D based on dynamic programming and provides an experimental comparison of these approach. Our numerical experiments show that our approach can solve larger problems than the mathematical programming approaches that have been presented in the literature thus far. Moreover, we show that restrictions on the number of locations the truck can visit while the drone is away can help significantly reduce the solution times while having relatively little impact on the overall solution quality.

Suggested Citation

  • Bouman, P.C. & Agatz, N.A.H. & Schmidt, M.E., 2017. "Dynamic Programming Approaches for the Traveling Salesman Problem with Drone," ERIM Report Series Research in Management ERS-2017-011-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:101691
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    References listed on IDEAS

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    1. Harilaos N. Psaraftis, 1980. "A Dynamic Programming Solution to the Single Vehicle Many-to-Many Immediate Request Dial-a-Ride Problem," Transportation Science, INFORMS, vol. 14(2), pages 130-154, May.
    2. A. L. Kok & C. M. Meyer & H. Kopfer & J. M. J. Schutten, 2010. "A Dynamic Programming Heuristic for the Vehicle Routing Problem with Time Windows and European Community Social Legislation," Transportation Science, INFORMS, vol. 44(4), pages 442-454, November.
    3. Chryssi Malandraki & Mark S. Daskin, 1992. "Time Dependent Vehicle Routing Problems: Formulations, Properties and Heuristic Algorithms," Transportation Science, INFORMS, vol. 26(3), pages 185-200, August.
    4. Malandraki, Chryssi & Dial, Robert B., 1996. "A restricted dynamic programming heuristic algorithm for the time dependent traveling salesman problem," European Journal of Operational Research, Elsevier, vol. 90(1), pages 45-55, April.
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    More about this item

    Keywords

    Traveling salesman problem; Vehicle routing; Drones; Dynamic Programming;
    All these keywords.

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