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- W4301629306 abstract "We consider the following generalization of the classical pursuit-evasion problem, which we call k-capture. A group of n pursuers (hyenas) wish to capture an evader (lion) who is free to move in an m-dimensional Euclidean space, the pursuers and the evader can move with the same maximum speed, and at least k pursuers must simultaneously reach the evader's location to capture it. If fewer than k pursuers reach the evader, then those pursuers get destroyed by the evader. Under what conditions can the evader be k-captured? We study this problem in the discrete time, continuous space model and prove that k-capture is possible if and only there exists a time when the evader lies in the interior of the pursuers' k-Hull. When the pursuit occurs inside a compact, convex subset of the Euclidean space, we show through an easy constructive strategy that k-capture is always possible." @default.
- W4301629306 created "2022-10-05" @default.
- W4301629306 creator A5032061347 @default.
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- W4301629306 date "2011-08-07" @default.
- W4301629306 modified "2023-09-24" @default.
- W4301629306 title "k-Capture in Multiagent Pursuit Evasion, or the Lion and the Hyenas" @default.
- W4301629306 doi "https://doi.org/10.48550/arxiv.1108.1561" @default.
- W4301629306 hasPublicationYear "2011" @default.
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