Abstract
This paper presents a novel search-path optimization method for moving target search by an aerial vehicle, applicable to realistically sized search areas. For such missions, long endurance vehicles are needed, which are usually fixed-winged. The proposed method accounts for flight kinematics of fixed-wing and rotary-wing aerial vehicles. It additionally accounts for movements of the target, considerably increasing complexity of search-path optimization, compared to a static target. The objective is to maximize the probability to detect a conditionally deterministic moving target within a given time period. We propose a first K-step-lookahead planning method that takes flight kinematic constraints into account and in which the target and platform state space are heterogeneous. It consists of a binary integer linear program that yields a physically feasible search-path, while maximizing the probability of detection. It is based on the Max-K-Coverage problem, as it selects K waypoints while maximizing the probability that a target is within the field of view of a platform at one of these waypoints. This K-step-lookahead planning method is embedded in an iterative framework, where the probability of overlooking a target is fed back to the controller after observations are made. Simulations show the applicability and effectiveness of this method.
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References
Koopman, B.O.: Search and Screening: General Principles with Historical Applications. Pergamon Press, New York (1980)
Stewart, T.: Search for a moving target when searcher motion is restricted. Comput. Oper. Res. 6(3), 129–140 (1979)
Martins, G.H.A.: A new branch and bound procedure for computing optimal search paths. Master’s thesis, Naval Postgraduate School, Monterey (1993)
Lau, H., Huang, S., Dissanayake, G.: Discounted MEAN bound for the optimal searcher path problem with non-uniform travel times. Eur. J. Oper. Res. 190(2), 383–397 (2008)
Sato, H.: Path optimization for single and multiple searchers: models and algorithms. Ph.D. thesis (2008)
Morin, M., Lamontagne, L., Abi-zeid, I., Lang, P., Maupin, P.: The optimal searcher path problem with a visibility criterion in discrete time and space. In: Proceedings of the 12th International Conference on Information Fusion, pp. 2217–2224. (2009)
Bourgault, F., Furukawa, T., Durrant-Whyte, H.: Optimal search for a lost target in a bayesian world. In: Yuta, S., Asama, H., Prassler, E., Tsubouchi, T., Thrun, S. (eds). Field and Service Robotics. Springer Tracts in Advanced Robotics, vol. 24, pp. 209–222. Springer, Berlin Heidelberg (2006)
Foraker, J., Royset, J.O., Kaminer, I.: Search-trajectory optimization: Part I, formulation and theory. J. Optim. Theory Appl. 169(2), 530–549 (2016)
Foraker, J., Royset, J.O., Kaminer, I.: Search-trajectory optimization: Part II, algorithms and computations. J. Optim. Theory Appl. 169(2), 550–567 (2016)
Iida, K., Hohzaki, R., Inada, K.: Optimal survivor search for a target with conditionally deterministic motion under reward criterion. J. Oper. Res. Soc. Japan 41(2), 246–260 (1998)
Stone, L.D., Richardson, H.R.: Search for targets with conditionally deterministic motion. SIAM J. Appl. Math. 27(2), 239–255 (1974)
Furukawa, T., Bourgault, F., Lavis, B., Durrant-Whyte, H.: Recursive bayesian search-and-tracking using coordinated UAVs for lost targets. In: Proceedings of the 2006 IEEE International Conference on Robotics and Automation, pp. 2521–2526. (2006)
West, D.B., et al.: Introduction to Graph Theory, vol. 2. Prentice Hall, Upper Saddle River (2001)
Khuller, S., Moss, A., Naor, J.S.: The budgeted maximum coverage problem. Inf. Process. Lett. 70(1), 39–45 (1999)
Baxter, J., Burke, E., Garibaldi, J., Norman, M.: Multi-robot search and rescue: a potential field based approach. In: Mukhopadhyay, S.C., Gupta, G.S. (eds). Autonomous Robots and Agents, Studies in Computational Intelligence, vol. 76, chap. 2, pp. 9–16. Springer, Berlin Heidelberg (2007)
Xiao, X., Dong, Z., Wu, J., Duan, H.: A cooperative approach to multiple UAVs searching for moving targets based on a hybrid of virtual force and receding horizon. In: INDIN, pp. 1228–1233. IEEE (2012)
Dell, R.F., Eagle, J.N., Alves Martins, G.H., Santos, A.G.: Using multiple searchers in constrained-path, moving-target search problems. Naval Res. Logist. 43(4), 463–480 (1996)
Eagle, J.N., Yee, J.R.: An optimal branch-and-bound procedure for the constrained path, moving target search problem. Oper. Res. 38(1), 110–114 (1990)
Acknowledgments
This work is supported by Airbus Defence and Space, Germany. We are grateful to Airbus Defense and Space employees Kai Kostorz and Dr. Axel Luthardt for their valuable feedback. Moreover, our gratitude goes to the anonymous reviewers for their insightful comments.
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Communicated by Kyriakos G. Vamvoudakis.
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Raap, M., Meyer-Nieberg, S., Pickl, S. et al. Aerial Vehicle Search-Path Optimization: A Novel Method for Emergency Operations. J Optim Theory Appl 172, 965–983 (2017). https://doi.org/10.1007/s10957-016-1014-y
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DOI: https://doi.org/10.1007/s10957-016-1014-y