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

Karen G. Dzyubenko; Arkadiy A. Chikriy

doi:10.1615/J Automat Inf Scien.v38.i9.10

Journal of Automation and Information Sciences

Editor en Jefe: Arkadiy A. Chikriy (open in a new tab)

Editor Asociados: Vyacheslav F. Gubarev (open in a new tab) Yuriy P. Kondratenko (open in a new tab) Nonna V. Turovyerova (open in a new tab)

Publicado 12 números por año

ISSN Imprimir: 1064-2315

ISSN En Línea: 2163-9337

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

Volumen 38, Edición 9, 2006, pp. 1-11

DOI: 10.1615/J Automat Inf Scien.v38.i9.10

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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 National Academy of Sciences of Ukraine 40 Akadem. Glushkov Ave., Kiev, 03187, Ukraine

SINOPSIS

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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