RT Journal Article ID 565d87f0146eab1f A1 Dzyubenko, Karen G. A1 Chikriy, Arkadiy A. T1 On the Game Problem of Searching Moving Objects for a Model of Semi-Markovian Type JF Journal of Automation and Information Sciences JO JAI(S) YR 2006 FD 2006-12-12 VO 38 IS 9 SP 1 OP 11 AB 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. PB Begell House LK https://www.dl.begellhouse.com/journals/2b6239406278e43e,79a59fd5711e1a44,565d87f0146eab1f.html