Locating a central hunter on the plane

Locating a central hunter on the plane

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Article ID: iaor2009146
Country: Netherlands
Volume: 136
Issue: 2
Start Page Number: 155
End Page Number: 166
Publication Date: Feb 2008
Journal: Journal of Optimization Theory and Applications
Authors: , , ,
Abstract:

Protection, surveillance or other types of coverage services of mobile points call for different, asymmetric distance measures than the traditional Euclidean, rectangular or other norms used for fixed points. In this paper, the destinations are mobile points (prey) moving at fixed speeds and directions and the facility (hunter) can capture them using one of two possible strategies: either it is smart, predicting the prey's movement in order to minimize the time needed to capture it, or it is dumb, following a pursuit curve, by moving at any moment in the direction of the prey. In either case, the hunter location in a plane is sought in order to minimize the maximum time of capture of any prey.

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