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Optimization Approaches for the Traveling Salesman Problem with Drone

Open access
Agatz, Niels, Bouman, Paul, Schmidt, Marie·2018·Transportation Science

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 attention is the use of drones 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 integer program 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 compared to truck-only delivery. The online appendix is available at https://doi.org/10.1287/trsc.2017.0791 .

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Metadata

Authors
Agatz, N., Bouman, P., & Schmidt, M.
Venue
Transportation Science
Published
2018-08
Volume
52
Issue
4
Pages
965-981
ISSN
  • 0041-1655 (ISSN-L)
  • 1526-5447
OpenAlex
W2990601306
Cited by
1,029
References
0
FWCI
60.23
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Optimization Approaches for the Traveling Salesman Problem with Drone. https://app.cochat.ai/papers/10.1287/trsc.2017.0791
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Agatz, N., Bouman, P., & Schmidt, M. (2018). Optimization Approaches for the Traveling Salesman Problem with Drone. Transportation Science. https://doi.org/10.1287/trsc.2017.0791

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