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Package Delivery Using Drones with Restricted Movement Areas

Authors Thomas Erlebach , Kelin Luo , Frits C.R. Spieksma



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Author Details

Thomas Erlebach
  • Department of Computer Science, Durham University, UK
Kelin Luo
  • Institute of Computer Science, Universität Bonn, Germany
Frits C.R. Spieksma
  • Department of Mathematics and Computer Science, Eindhoven University of Technology, The Netherlands

Cite AsGet BibTex

Thomas Erlebach, Kelin Luo, and Frits C.R. Spieksma. Package Delivery Using Drones with Restricted Movement Areas. In 33rd International Symposium on Algorithms and Computation (ISAAC 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 248, pp. 49:1-49:16, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2022)
https://doi.org/10.4230/LIPIcs.ISAAC.2022.49

Abstract

For the problem of delivering a package from a source node to a destination node in a graph using a set of drones, we study the setting where the movements of each drone are restricted to a certain subgraph of the given graph. We consider the objectives of minimizing the delivery time (problem DDT) and of minimizing the total energy consumption (problem DDC). For general graphs, we show a strong inapproximability result and a matching approximation algorithm for DDT as well as NP-hardness and a 2-approximation algorithm for DDC. For the special case of a path, we show that DDT is NP-hard if the drones have different speeds. For trees, we give optimal algorithms under the assumption that all drones have the same speed or the same energy consumption rate. The results for trees extend to arbitrary graphs if the subgraph of each drone is isometric.

Subject Classification

ACM Subject Classification
  • Theory of computation → Design and analysis of algorithms
Keywords
  • Mobile agents
  • approximation algorithm
  • inapproximability

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References

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  11. Thomas Erlebach, Kelin Luo, and Frits C.R. Spieksma. Package delivery using drones with restricted movement areas. CoRR, abs/2209.12314, 2022. URL: https://doi.org/10.48550/arXiv.2209.12314.
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