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Solving the length constrained K-drones rural postman problem

Author

Listed:
  • Campbell, James F.
  • Corberán, Ángel
  • Plana, Isaac
  • Sanchis, José M.
  • Segura, Paula

Abstract

In this paper we address the Length Constrained K-Drones Rural Postman Problem (LC K-DRPP). This is a continuous optimization problem where a fleet of homogeneous drones have to jointly service (traverse) a set of (curved or straight) lines of a network. Unlike the vehicles in classical arc routing problems, a drone can enter a line through any of its points, service a portion of that line, exit through another of its points, then travel directly to any point on another line, and so on. Moreover, since the range of the drones is restricted, the length of each route is limited by a maximum distance. Some applications for drone arc routing problems include inspection of pipelines, railway or power transmission lines and traffic monitoring.

Suggested Citation

  • Campbell, James F. & Corberán, Ángel & Plana, Isaac & Sanchis, José M. & Segura, Paula, 2021. "Solving the length constrained K-drones rural postman problem," European Journal of Operational Research, Elsevier, vol. 292(1), pages 60-72.
    • Handle: RePEc:eee:ejores:v:292:y:2021:i:1:p:60-72
    DOI: 10.1016/j.ejor.2020.10.035
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    Citations

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    Cited by:

    1. Xabier A. Martin & Marc Escoto & Antoni Guerrero & Angel A. Juan, 2024. "Battery Management in Electric Vehicle Routing Problems: A Review," Energies, MDPI, vol. 17(5), pages 1-25, February.
    2. Choi, Shinwon & Lee, Minseo & Park, Hyejin & Han, Jinil, 2024. "Mathematical programming-based heuristic for highway patrol drone scheduling problem," Socio-Economic Planning Sciences, Elsevier, vol. 93(C).
    3. Yi Li & Min Liu & Dandan Jiang, 2022. "Application of Unmanned Aerial Vehicles in Logistics: A Literature Review," Sustainability, MDPI, vol. 14(21), pages 1-18, November.
    4. Taillard, Éric D., 2022. "A linearithmic heuristic for the travelling salesman problem," European Journal of Operational Research, Elsevier, vol. 297(2), pages 442-450.
    5. James Campbell & Ángel Corberán & Isaac Plana & José M. Sanchis & Paula Segura, 2022. "Polyhedral analysis and a new algorithm for the length constrained K–drones rural postman problem," Computational Optimization and Applications, Springer, vol. 83(1), pages 67-109, September.
    6. Zandieh, Fatemeh & Ghannadpour, Seyed Farid & Mazdeh, Mohammad Mahdavi, 2024. "New integrated routing and surveillance model with drones and charging station considerations," European Journal of Operational Research, Elsevier, vol. 313(2), pages 527-547.

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