Generalized solutions of the pursuit problem in three-dimensional Euclidean space

Generalized solutions of the pursuit problem in three-dimensional Euclidean space

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Article ID: iaor20023589
Country: United States
Volume: 119
Issue: 1
Start Page Number: 35
End Page Number: 45
Publication Date: Mar 2001
Journal: Applied Mathematics and Computation
Authors: , ,
Keywords: Pursuit games
Abstract:

A more rigorous formulation of the pursuit in E-3 is presented. The classical solution is extended, and we then proceed to formulate a new method of solution defined as the intercept approach. This new technique involves the specification of an arbitrary ‘escape function’ having real zeroes. The method has been used to model the path of a dog in pursuit of a fish in a newly developed computer game – FISHER. A simple numerical problem is solved to illustrate the ease of use of the new approach over the classical method.

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