Abstract
In this paper we address the problem of finding an object in a polygonal environment as quickly as possible on average, with a team of mobile robots that can sense the environment.
We show that for this problem, a trajectory that minimizes the distance traveled may not minimize the expected value of the time to find the object. We prove the problem to be NP-hard by reduction, therefore, we propose the heuristic of a utility function. We use this utility function to drive a greedy algorithm in a reduced search space that is able to explore several steps ahead without incurring too high a computational cost. We have implemented this algorithm and present simulation results for a multi-robot scheme.
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References
Chin, W.P., Ntafos, S.: Optimum Watchman Routes. Information Processing Letters 28, 39–44 (1988)
Goodman, J.E., O’Rourke, J.: Handbook of Discrete and Computational Geometry. CRC Press, Boca Raton (1997)
Garey, M.R., Johnson, D.S.: Computers and Intractability. W. H. Freeman and Company, New York (1979)
González-Baños, H.H., Latombe, J.C.: Navigation Strategies for Exploring Indoor Environments. Int. Journal of Robotics Research 21(10/11), 829–848 (October- November 2002)
Greiner, G., Hormann, K.: Efficient Clipping of Arbitrary Polygons. ACM Transactions on Graphics 17(2), 71–83 (1998)
LaValle, S.M., et al.: Finding an Unpredictable Target in a Workspace with Obstacles. In: Proc. IEEE Int. Conf. on Robotics and Automation (1997)
Murrieta-Cid, R., Sarmiento, A., Hutchinson, S.A.: On the Existence of a Strategy to Maintain a Moving Target within the Sensing Range of an Observer Reacting with Delay. In: Proc. IEEE/RSJ Int. Conf. on Intelligent Robots and Systems (2003)
Murrieta-Cid, R., Sarmiento, A., Bhattacharya, S., Hutchinson, S.A.: Maintaining Visibility of a Moving Target at a Fixed Distance: The Case of Observer Bounded Speed. In: Proc. IEEE Int. Conf. on Robotics and Automation (2004)
O’Rourke, J.: Art Gallery Theorems and Algorithms. Oxford University Press, Oxford (1987)
Rohnert, H.: Shortest Paths in the Plane with Convex Polygonal Obstacles. Information Processing Letters 23, 71–76 (1986)
Ross, S.M.: Introduction to Probability and Statistics for Engineers and Scientists. Wiley, Chichester (1987)
Sarmiento, A., Murrieta, R., Hutchinson, S.A.: A Strategy for Searching an Object with a Mobile Robot. In: Proc. Int. Conf. on Advanced Robotics (2003)
Sarmiento, A., Murrieta, R., Hutchinson, S.A.: Planning Expected-time Optimal Paths for Searching Known Environments. In: accepted to IEEE/RSJ Int. Conf. on Intelligent Robots and Systems (2004)
Shermer, T.C.: Recent Results in Art Galleries. Proc. of the IEEE 80(9) (September 1992)
Tovar, B., LaValle, S.M., Murrieta-Cid, R.: Optimal Navigation and Object Finding without Geometric Maps or Localization. In: Proc. IEEE Int. Conf. on Robotics and Automation (2003)
Vatti, B.R.: A Generic Solution to Polygon Clipping. Communications of the ACM 35(7), 56–63 (1992)
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© 2004 Springer-Verlag Berlin Heidelberg
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Sarmiento, A., Murrieta-Cid, R., Hutchinson, S. (2004). A Multi-robot Strategy for Rapidly Searching a Polygonal Environment. In: Lemaître, C., Reyes, C.A., González, J.A. (eds) Advances in Artificial Intelligence – IBERAMIA 2004. IBERAMIA 2004. Lecture Notes in Computer Science(), vol 3315. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30498-2_48
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DOI: https://doi.org/10.1007/978-3-540-30498-2_48
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