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Reliability of Birolini’s duplex system sustained by a cold standby unit and subjected to a priority rule

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  • E. Vanderperre
  • S. Makhanov

Abstract

We analyse the survival time of Birolini’s duplex system sustained by a cold standby unit subjected to a priority rule. We employ a stochastic process endowed with time-dependent transition measures satisfying coupled partial differential equations leading to the Laplace transform of the survival function. As an example, we consider Coxian distributions for failure and repair. Some graphs are displayed together with a security interval corresponding to a security level of 90 %. Copyright Sociedad de Estadística e Investigación Operativa 2015

Suggested Citation

  • 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.
    • Handle: RePEc:spr:topjnl:v:23:y:2015:i:2:p:441-465
    DOI: 10.1007/s11750-014-0348-6
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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. 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.
    3. 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.
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