Stochastic search in a convex region (Q1822144)

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scientific article; zbMATH DE number 4001153
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Stochastic search in a convex region
scientific article; zbMATH DE number 4001153

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    Stochastic search in a convex region (English)
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    1988
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    A stochastic search strategy is proposed for locating a possibly mobile target in a bounded, convex region of the plane. The strategy is asymptotically minimax as \(\epsilon\) \(\to 0\) with respect to the time required to get within \(\epsilon\) of the target. The proof involves the study of first passages to time-dependent boundaries by a certain semi- Markov process.
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    stochastic search strategy
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    first passages to time-dependent boundaries
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    semi-Markov process
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