Skip to main content
SpringerLink
Log in

Semi-Markov processes and their applications

  • Published:
Cybernetics Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. I. I. Gikhman and A. V. Skorokhod, Introduction to the Theory of Random Processes [in Russian], izd-vo Nauka, Moscow, 1965.

    Google Scholar 

  2. P. Levy, “Processus semi-markoviens,” Proc. Ind. Congress Math., vol. 3, pp. 416–426, 1954.

    Google Scholar 

  3. W. Smith, “Regenerative stochastic processes,” Proc. Roy. Soc., ser. A, 232, 1955.

  4. R. Pyke, “Markov renewal processes with finitely many states” Ann. Math. Stat., vol. 32, pp. 1243–1259.

  5. R. Howard, “System analysis of semi-Markov processes,” IEEE Trans. Milit. electron., 1964.

  6. V. S. Korolyuk and A. A. Tomusyak, “Description of the functioning of redundant systems by means of Markov processes,” Kibernetika [Cybernetics], no. 5, Kiev, 1965.

  7. D. G. Kendall, “Stochastic processes occurring in the theory of queues and their analysis by the method of the embedded Markov chain,” Matematika, 3:6, pp. 97–111, IL, Moscow, 1959.

    Google Scholar 

  8. Yu. K. Belyaev, “Linearized Markov processes and their application to problems of the theory of reliability,” Proceedings of a Conference in the Theory of Probability and Mathematical Statistics, 1960 [in Russian], Vil'nyus, pp. 309–323, 1962.

  9. W. L. Smith, “Renewal theory and its ramification,” Matematika, 5:3, pp. 96–150, IL, Moscow, 1961.

    Google Scholar 

  10. G. I. Prizva, Diploma Paper [in Russian], Izd. KGU, 1965.

  11. V. S. Korolyuk, “The sojourn time of a semi-Markov process in a fixed set of states,” UMZh, vol. 17, No. 3, 1965.

  12. R. Howard, System Analysis of Linear Models, Stanford University, vol. 3, 1962.

  13. I. I. Ezhov, “Markov chains with the discrete interference case forming a semi-Markov process,” UMZh, vol. 18, no. 1, 1966.

  14. I. I. Ezhov, “The ergodic theorem for Markov processes describing general serving systems,” Kibernetika [Cybernetics], no. 5, Kiev, 1966.

  15. L. Takacs, “Investigation of waiting-time problems by reduction to Markov processes,” Acta Math. Acad. Scient. Hungaricae, 1–2, 1955.

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematic, AS UkrSSR, Kiev State University, USSR

    I. I. Ezhov & V. S. Korolyuk

Authors
  1. I. I. Ezhov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. S. Korolyuk
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Kibernetika, Vol. 3, No. 5, pp. 58–65, 1967

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ezhov, I.I., Korolyuk, V.S. Semi-Markov processes and their applications. Cybern Syst Anal 3, 50–56 (1967). https://doi.org/10.1007/BF01071596

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01071596

Keywords

Search

Navigation