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Robust UAV mission planning

Author

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

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. Copyright Springer Science+Business Media New York 2014

Suggested Citation

  • Lanah Evers & Twan Dollevoet & Ana Barros & Herman Monsuur, 2014. "Robust UAV mission planning," Annals of Operations Research, Springer, vol. 222(1), pages 293-315, November.
  • Handle: RePEc:spr:annopr:v:222:y:2014:i:1:p:293-315:10.1007/s10479-012-1261-8
    DOI: 10.1007/s10479-012-1261-8
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    References listed on IDEAS

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    4. Verbeeck, C. & Vansteenwegen, P. & Aghezzaf, E.-H., 2016. "Solving the stochastic time-dependent orienteering problem with time windows," European Journal of Operational Research, Elsevier, vol. 255(3), pages 699-718.
    5. Nishar, Abdul & Richards, Steve & Breen, Dan & Robertson, John & Breen, Barbara, 2016. "Thermal infrared imaging of geothermal environments and by an unmanned aerial vehicle (UAV): A case study of the Wairakei – Tauhara geothermal field, Taupo, New Zealand," Renewable Energy, Elsevier, vol. 86(C), pages 1256-1264.
    6. Bijun Wang & Zheyong Bian & Mo Mansouri, 2023. "Self-adaptive heuristic algorithms for the dynamic and stochastic orienteering problem in autonomous transportation system," Journal of Heuristics, Springer, vol. 29(1), pages 77-137, February.
    7. Zhao, Lei & Bi, Xinhua & Li, Gendao & Dong, Zhaohui & Xiao, Ni & Zhao, Anni, 2022. "Robust traveling salesman problem with multiple drones: Parcel delivery under uncertain navigation environments," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 168(C).
    8. Niels Agatz & Paul Bouman & Marie Schmidt, 2018. "Optimization Approaches for the Traveling Salesman Problem with Drone," Transportation Science, INFORMS, vol. 52(4), pages 965-981, August.
    9. Omer Ozkan & Sezgin Kilic, 2023. "UAV routing by simulation-based optimization approaches for forest fire risk mitigation," Annals of Operations Research, Springer, vol. 320(2), pages 937-973, January.
    10. John Gunnar Carlsson & Siyuan Song, 2018. "Coordinated Logistics with a Truck and a Drone," Management Science, INFORMS, vol. 64(9), pages 4052-4069, September.
    11. Agatz, N.A.H. & Bouman, P.C. & Schmidt, M.E., 2016. "Optimization Approaches for the Traveling Salesman Problem with Drone," ERIM Report Series Research in Management ERS-2015-011-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.
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