Journal of Automation and Information Sciences

ISSN for PRINT: 1064-2315

For Online Access

Best Paper Award Selection - Editorial Board Site

2006, Volume38

Issue 9

82 pages

DOI: 10.1615/J Automat Inf Scien.v38.i9

Issue price - $238.00

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

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.

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

Article price - $35.00

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