Skip to main content
SpringerLink
Log in

On reliability of binary systems in a random environment

  • Published:
Automatic Control and Computer Sciences Aims and scope Submit manuscript

Abstract

The influence of random environments to technical systems reliability is studied. A Markov model of reliability of the system that operates in a random Markov environment is proposed. General relations for stationary and non-stationary Quality of Service (QoS) characteristics of such system are given. Numerical study and comparison for a cold backup system operating in stable and random two-state environments are performed.

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

Similar content being viewed by others

References

  1. Eisen, M. and Tainiter, M., Stochastic variations in queuing processes, Operat. Res., 1963, vol. 11, no. 6, pp. 922–927.

    Article  MATH  MathSciNet  Google Scholar 

  2. Yehiali, U. and Naor, P., Queuing problems with heterogeneous arrivals and service, Operat. Res., 1971, vol.19, no. 3, pp. 722–734.

    Article  Google Scholar 

  3. Yehiali, U., A Queuing-type birth-and-death process defined as a continuous-time Markov chain, Operat. Res., 1973, vol. 21, no. 2, pp. 604–629.

    Article  Google Scholar 

  4. Newts, M., A Queue subject to extraneous phase changes, Adv. Appl. Prob., 1971, vol. 3, pp. 78–119.

    Article  Google Scholar 

  5. Purdue, P., The M/M/1 queue in a Markovian environment, Operat. Res., 1974, vol. 22, no. 3, pp. 562–569.

    Article  MATH  MathSciNet  Google Scholar 

  6. O’Cinneide, C.A. and Purdue, P., The M/M/∞ queue in a random environment, J. Appl. Probab., 1986, vol. 23, no. 1, pp. 175–184.

    Article  MATH  MathSciNet  Google Scholar 

  7. Kim, C.S., Klimenok, V., Mushko, C., and Dudin, A., The BMAP/PH/N retrial queuing system operating in Markovian random environment, Comp. Oper. Res., 2010, no. 37, pp. 1228–1237.

    Google Scholar 

  8. Kim, C.S., Dudin, A., Klimenok, V., and Khramova, V., Erlang loss queuing system with batch arrivals operating in a random environment, Comp. Oper. Res., 2009, no. 36, pp. 674–697.

    Google Scholar 

  9. Rykov, V. and Efrosinin, D., Queuing model of the non-reliable hybrid data transmission channel with heterogeneous links, Proc. 7th Int. Conf. “Mathematical Methods in Reliability (MMR-2011),” Beijing, China, 2011, pp. 272–279.

    Google Scholar 

  10. Vishnevsky, V., Kozyrev, D., and Rykov, V., On the reliability of hybrid system information transmission evaluation. Queues: flows, systems, networks (Modern probabilistic methods for analysis of telecommunication networks), Proc. BWWQT-2013, Dudin, A., Klimenok, V., Tsarenkov, G., and Dudin, S., Eds., Minsk, 2013, pp. 192–202.

    Google Scholar 

  11. Andronov, A.M., Markov-modulated birth-death processes, Autom. Cont. Comp. Sci., 2011, vol. 45, no. 3, pp. 123–133.

    Article  Google Scholar 

  12. Rykov, V.V., Technical System Safety and Technogenic Risk. Summary of Lectures, Moscow: Ross. Gos. Univ. Oil and Gas, 2001.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Peoples’ Friendship University, ul. Miklukho-Maklaya 6, Moscow, 117198, Russia

    V. V. Rykov & Tran Anh Nghia

Authors
  1. V. V. Rykov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tran Anh Nghia
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. V. Rykov.

Additional information

Original Russian Text © V.V. Rykov, Tran Anh Nghia, 2013, published in Avtomatika i Vychislitel’naya Tekhnika, 2013, No. 6, pp. 73–85.

About this article

Cite this article

Rykov, V.V., Nghia, T.A. On reliability of binary systems in a random environment. Aut. Control Comp. Sci. 47, 342–351 (2013). https://doi.org/10.3103/S0146411613060096

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0146411613060096

Keywords

Search

Navigation