Geodesic
Optimal probabilistic search
Sbornik. Mathematics, Tome 202 (2011) no. 5, pp. 697-719 Cet article a éte moissonné depuis la source Math-Net.Ru

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This paper is concerned with the optimal search of an object at rest with unknown exact position in the $n$-dimensional space. A necessary condition for optimality of a trajectory is obtained. An explicit form of a differential equation for an optimal trajectory is found while searching over $R$-strongly convex sets. An existence theorem is also established. Bibliography: 8 titles.
Keywords: optimal search, probabilistic search, optimal trajectory, vortex singularity, existence of an optimal search trajectory. 
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     author = {L. V. Lokutsievskiy},
     title = {Optimal probabilistic search},
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     url = {http://geodesic.mathdoc.fr/item/SM_2011_202_5_a4/}
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L. V. Lokutsievskiy. Optimal probabilistic search. Sbornik. Mathematics, Tome 202 (2011) no. 5, pp. 697-719. http://geodesic.mathdoc.fr/item/SM_2011_202_5_a4/

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