Optimal probabilistic search

Journal Article · Tue May 31 00:00:00 EDT 2011 · Sbornik. Mathematics

DOI:https://doi.org/10.1070/SM2011V202N05ABEH004162; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)· OSTI ID:21592547

Lokutsievskiy, Lev V ^[1]

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1. M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow (Russian Federation)

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.

• OSTI ID: 21592547
• Journal Information: Sbornik. Mathematics, Vol. 202, Issue 5; Other Information: DOI: 10.1070/SM2011v202n05ABEH004162; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
DIFFERENTIAL EQUATIONS
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL SPACE
OPTIMIZATION
PROBABILISTIC ESTIMATION
CALCULATION METHODS
EQUATIONS
SPACE