%0 Journal Article
%A Dzyubenko, Karen G.
%A Chikriy, Arkadiy A.
%D 2006
%I Begell House
%N 9
%P 1-11
%R 10.1615/J Automat Inf Scien.v38.i9.10
%T On the Game Problem of Searching Moving Objects for a Model of Semi-Markovian Type
%U http://dl.begellhouse.com/journals/2b6239406278e43e,79a59fd5711e1a44,565d87f0146eab1f.html
%V 38
%X 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.
%8 2006-12-12