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DOE OSTI · 21592547

Optimal probabilistic search

Lokutsievskiy, Lev V
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Abstract

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.

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97 MATHEMATICS AND COMPUTINGCALCULATION METHODSDIFFERENTIAL EQUATIONSEQUATIONSMANY-DIMENSIONAL CALCULATIONSMATHEMATICAL SPACEOPTIMIZATIONPROBABILISTIC ESTIMATIONSPACE

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Lokutsievskiy, Lev V. 2011-05-31. Optimal probabilistic search. https://doi.org/10.1070/sm2011v202n05abeh004162%3B%20country%20of%20input%3A%20international%20atomic%20energy%20agency%20(iaea)

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