Ukrainian Mathematical Journal

, Volume 30, Issue 5, pp 461–467 | Cite as

Consolidation and decomposition of homogeneous Markov processes

  • A. M. Zakharin


Markov Process Homogeneous Markov Process 
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Literature cited

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    G. Bacon, “The decomposition of stochastic automata,” Inf. Control,7, No. 3, 320–339 (1964).Google Scholar
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    J. Hartmanis and R. Stearns, Algebraic Structure Theory of Sequential Machines, Prentice-Hall, Englewood Cliffs, New Jersey (1966).Google Scholar
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    A. Paz, Introduction to Probabilistic Automata, Academic Press, New York-London (1971).Google Scholar
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    A.M. Zakharin, “On the consolidation of states of Markov and semi-Markov processes and applications of the consolidation operation for the analysis of stochastic systems,” Kibernetika, No. 4, 56–64 (1972).Google Scholar
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    A. M. Zakharin, “Parallel decomposition of homogeneous Markov processes,” in: Proceedings of the Second Vilnius Conference on the Theory of Probability and Mathematical Statistics [in Russian], Inst. Fiz. Mat. Akad. Nauk Lit. SSR, Vilnius (1977), pp. 156–157.Google Scholar
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    É. I. Kistauri, “Parallel composition and decomposition of finite homogeneous Markov systems,” Kibernetika, No. 5, 147–148 (1977).Google Scholar
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    I. N. Kovalenko, Investigations in the Analysis of the Reliability of Complex Systems [in Russian], Naukova Dumka, Kiev (1975).Google Scholar
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    V. S. Korolyuk and A. F. Turbin, Semi-Markov Processes and Their Applications [in Russian], Naukova Dumka, Kiev (1976).Google Scholar

Copyright information

© Plenum Publishing Corporation 1979

Authors and Affiliations

  • A. M. Zakharin
    • 1
  1. 1.Cybernetics InstituteAcademy of Sciences of the Ukrainian SSRUKraine

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