Literature cited
G. Bacon, “The decomposition of stochastic automata,” Inf. Control,7, No. 3, 320–339 (1964).
J. Hartmanis and R. Stearns, Algebraic Structure Theory of Sequential Machines, Prentice-Hall, Englewood Cliffs, New Jersey (1966).
A. Paz, Introduction to Probabilistic Automata, Academic Press, New York-London (1971).
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).
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.
É. I. Kistauri, “Parallel composition and decomposition of finite homogeneous Markov systems,” Kibernetika, No. 5, 147–148 (1977).
I. N. Kovalenko, Investigations in the Analysis of the Reliability of Complex Systems [in Russian], Naukova Dumka, Kiev (1975).
V. S. Korolyuk and A. F. Turbin, Semi-Markov Processes and Their Applications [in Russian], Naukova Dumka, Kiev (1976).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 30, No. 5, pp. 602–610, September–October, 1978.
Rights and permissions
About this article
Cite this article
Zakharin, A.M. Consolidation and decomposition of homogeneous Markov processes. Ukr Math J 30, 461–467 (1978). https://doi.org/10.1007/BF01094847
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01094847