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Journal of Automation and Information Sciences
SJR: 0.238 SNIP: 0.464 CiteScore™: 0.27

ISSN Print: 1064-2315
ISSN Online: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/J Automat Inf Scien.v38.i9.10
pages 1-11

On the Game Problem of Searching Moving Objects for a Model of Semi-Markovian Type

Karen G. Dzyubenko
Candidate in physics and mathematics, researcher of V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev, Ukraine; and University of Toronto, Canada
Arkadiy A. Chikriy
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev, Ukraine

ABSTRACT

A pursuit problem on a multidimensional integer grid is considered for the case, when position and velocity of the evader constitute a semi-Markovian type process. A formula for transition probability for embedded Markov chain is derived. Also, a formula of transition probability for inhomogeneous Markov chain, describing evader's position, is obtained. Formula of probability of non-detection prior to the given time instant is deduces. As an example, for a special form of distribution of evader's strategies, optimization of probability of detection prior to time instant 2 is considered.


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