Skip to main content
SpringerLink
Log in

Application of associated semi-Markov processes to the analysis of system reliability. II

  • 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

Literature Cited

  1. S. M. Brodi and V. D. Shpak, “Application of associated semi-Markov processes to the analysis of system reliability. I,” Kibernetika, No. 5 (1970).

  2. I. I. Ezhov, “Markov chains with discrete chance interference forming a semi-Markov process,” Ukrainsk, Matem. Zh.18, No. 1 (1966).

  3. W. L. Smith, “Regenerative stochastic processes” Proc. Roy. Soc., Ser. A,232, 6–31 (1955).

    Google Scholar 

  4. R. Pyke, “Markov renewal processes: definitions and preliminary properties,=rd Ann. Math. Statist.,32, 1231–1242 (1961).

    Google Scholar 

  5. I. I. Ezhov and V. S. Korolyuk, “Semi-Markov processes and their applications,” Kibernetika, No. 5 (1967).

  6. L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis, Interscience, New York (1958).

    Google Scholar 

  7. D. R. Cox and W. L. Smith, Renewal Theory, Methuen, London; Wiley, New York (1962).

    Google Scholar 

  8. V. V. Malev, “Determination of the numerical characteristics of the distribution function for the failure-free operation probabilities of automatic failsafe systems,” Izv. Akad. Nauk SSSR, Tekh. Kibernetika, No. 1 (1967).

  9. Yu. G. Zarenin and M. O. Zbyrko, “Reliability of safeguarded systems,” Izv. Akad. Nauk SSSR, Tekh. Kibernetika, No. 2 (1972).

  10. V. D. Shpak, “Reliability problems for safeguarded systems,” in: Theory of the Precision and Reliability of Cybernetic Systems [in Russian], No. 1 Kiev (1969).

  11. B. V. Gnedenko, Yu. K. Belyaev, and A. D. Solov'ev, Mathematical Methods in Reliability Theory [in Russian], Izd. Nauka, Moscow (1965).

    Google Scholar 

Download references

Authors
  1. S. M. Brodi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. D. Shpak
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Kibernetika, No. 5, pp. 53–63, September–October, 1973.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Brodi, S.M., Shpak, V.D. Application of associated semi-Markov processes to the analysis of system reliability. II. Cybern Syst Anal 9, 779–792 (1973). https://doi.org/10.1007/BF01069712

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01069712

Keywords

Search

Navigation