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K. Trummel, J. Weisinger (1986)
Technical Note - The Complexity of the Optimal Searcher Path ProblemOper. Res., 34
D. Berry, Roy Mensch (1986)
Discrete Search with Directional InformationOper. Res., 34
A. Washburn (1980)
On a search for a moving targetNaval Research Logistics Quarterly, 27
Danskin Danskin (1968)
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Ruckle Ruckle (1981)
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Trummel Trummel, Weisinger Weisinger (1986)
The Complexity of the Optimal Searcher Path ProblemOperations Research, 34
James Eagle (1984)
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W. Ruckle (1983)
Geometric games and their applications
The article considers a two‐person zero‐sum game in which a searcher with b bombs wishes to destroy a mobile hider. The players are restricted to move on a straight line with maximum speeds v and u satisfying v > u > 0; neither player can see the other but each knows the other's initial position. The bombs all have destructive radius R and there is a time lag T between the release of a bomb and the bomb exploding. The searcher gets 1 unit if the hider is destroyed and 0 if he survives. A solution is given for b = 1, and extended to b > 1 when the time lag is small. Various applications of the game are discussed.
Naval Research Logistics: An International Journal – Wiley
Published: Aug 1, 1989
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