TOM TIDDLER'S GAME
GENERAL RESEARCH CORP SANTA BARBARA CA
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A number of attackers try to reach a goal guarded by several goalies. The goalies and attackers approach each other with fixed velocity but can maneuver transversely within a specified velocity range. The largest miss distance between an attacker and the nearest goalie at the termination of the game is determined for an arbitrary initial deployment of the goalies and the attackers. Optimal strategies and optimal initial placements for the defense and attack are determined. The problem may be generalized so that the constraints are on the mth time derivative of the position vector. For the free evasion problem a simple transformation reduces the problem to one involving velocity constraints.
- Operations Research