Annals of Operations Research

, Volume 222, Issue 1, pp 293–315 | Cite as

Robust UAV mission planning

  • Lanah Evers
  • Twan Dollevoet
  • Ana Isabel Barros
  • Herman Monsuur
Article

Abstract

Unmanned Aerial Vehicles (UAVs) can provide significant contributions to information gathering in military missions. UAVs can be used to capture both full motion video and still imagery of specific target locations within the area of interest. In order to improve the effectiveness of a reconnaissance mission, it is important to visit the largest number of interesting target locations possible, taking into consideration operational constraints related to fuel usage, weather conditions and endurance of the UAV. We model this planning problem as the well-known orienteering problem, which is a generalization of the traveling salesman problem. Given the uncertainty in the military operational environment, robust planning solutions are required. Therefore, our model takes into account uncertainty in the fuel usage between targets, for instance due to weather conditions. We report results for using different uncertainty sets that specify the degree of uncertainty against which any feasible solution will be protected. We also compare the probability that a solution is feasible for the robust solutions on one hand and the solution found with average fuel usage on the other. These probabilities are assessed both by simulation and by derivation of problem specific theoretical bounds on the probability of constraint feasibility. In doing so, we show how the sustainability of a UAV mission can be significantly improved. Additionally, we suggest how the robust solution can be operationalized in a realistic setting, by complementing the robust tour with agility principles.

Keywords

UAV mission planning Robust optimization Robust orienteering problem Agile planning 

Notes

Acknowledgements

In this paper we applied techniques from robust optimization, provided to us in an LNMB course by Prof. A. Ben-Tal and Prof. D. den Hertog. We sincerely thank Prof. A. Ben-Tal and Prof. D. den Hertog for sharing their insights on the applicability of these techniques to our UAV planning problem. Also, we thank the participants of the ORP3 conference for their remarks on a previous version of this research. Finally, we thank the anonymous referees for their valuable comments on previous versions of this paper.

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Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  • Lanah Evers
    • 1
    • 2
    • 3
  • Twan Dollevoet
    • 2
  • Ana Isabel Barros
    • 1
    • 3
  • Herman Monsuur
    • 3
  1. 1.TNOThe HagueThe Netherlands
  2. 2.Econometric InstituteErasmus University RotterdamRotterdamThe Netherlands
  3. 3.Faculty of Military SciencesNetherlands Defence AcademyDen HelderThe Netherlands

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