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Reliability analysis of a repairable duplex system

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  • E.J. Vanderperre
  • S.S. Makhanov

Abstract

We analyse the survival time of a repairable duplex system characterised by cold standby and by a pre-emptive priority rule. We allow general probability distributions for failure and repair. Moreover, an important realistic feature of the system is the general assumption that the non-priority unit has a memory. This combination of features has not been analysed in the previous literature. Our (new) methodology is based on a concatenation of a Cauchy-type integral representation of the modified Heaviside unit-step function and a two-sided stochastic inequality. Finally, we introduce a security interval related to a security level and a suitable risk-criterion based on the survival function of the system. As a practical application, we analyse some particular cases of the survival function jointly with the security interval corresponding to a security level of 90.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:tsysxx:v:45:y:2014:i:9:p:1970-1977
    DOI: 10.1080/00207721.2012.759671
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    References listed on IDEAS

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    1. 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.
    2. Ruiz-Castro, Juan Eloy & Fernández-Villodre, Gemma, 2012. "A complex discrete warm standby system with loss of units," European Journal of Operational Research, Elsevier, vol. 218(2), pages 456-469.
    3. Leung, Kit Nam Francis & Zhang, Yuan Lin & Lai, Kin Keung, 2011. "Analysis for a two-dissimilar-component cold standby repairable system with repair priority," Reliability Engineering and System Safety, Elsevier, vol. 96(11), pages 1542-1551.
    4. Yun, Won Young & Cha, Ji Hwan, 2010. "Optimal design of a general warm standby system," Reliability Engineering and System Safety, Elsevier, vol. 95(8), pages 880-886.
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    Cited by:

    1. Ruiz-Castro, Juan Eloy, 2016. "Complex multi-state systems modelled through marked Markovian arrival processes," European Journal of Operational Research, Elsevier, vol. 252(3), pages 852-865.

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