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User-perceived reliability of unrepairable shared protection systems with functionally identical units

Author

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  • Hirokazu Ozaki
  • Atsushi Kara
  • Zixue Cheng

Abstract

In this article, we investigate the reliability of M-for-N (M:N) shared protection systems. We focus on the reliability that is perceived by an end user of one of N units. We assume that any failed unit is instantly replaced by one of the M units (if available). We describe the effectiveness of such a protection system in a quantitative manner under the condition that the failed units are not repairable. Mathematical analysis gives the closed-form solution of the reliability and mean time to failure (MTTF). We also analyse several numerical examples of the reliability and MTTF. This result can be applied, for example, to the analysis and design of an integrated circuit consisting of redundant backup components. In such a device, repairing a failed component is unrealistic. The analysis provides useful information for the design for general shared protection systems in which the failed units are not repaired.

Suggested Citation

  • Hirokazu Ozaki & Atsushi Kara & Zixue Cheng, 2012. "User-perceived reliability of unrepairable shared protection systems with functionally identical units," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(5), pages 869-883.
    • Handle: RePEc:taf:tsysxx:v:43:y:2012:i:5:p:869-883
    DOI: 10.1080/00207721.2010.543477
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    Cited by:

    1. E. Vanderperre & S. Makhanov, 2015. "Reliability of Birolini’s duplex system sustained by a cold standby unit and subjected to a priority rule," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(2), pages 441-465, July.
    2. E.J. Vanderperre & S.S. Makhanov, 2014. "Reliability analysis of a repairable duplex system," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(9), pages 1970-1977, September.

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