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Switching time of the standby component to the k-out-of-n:G system in the stress–strength setup

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  • Zohreh Pakdaman

    (Ferdowsi University of Mashhad)

  • Jafar Ahmadi

    (Ferdowsi University of Mashhad)

Abstract

This paper deals with the reliability of a k-out-of-n:G system in the stress–strength setup with three different types (cold, warm or hot) of standby components. The switching time of the standby component to the k-out-of-n:G stress–strength system has been studied and how its effect on the stress–strength reliability and costs have been assessed. By taking into account the switching time of the standby component, some expressions for the stress–strength reliability and the mean remaining strength functions are obtained. The results for exponential and Weibull distributions are given in detail and the optimal time to activate the standby components to the working state is investigated.

Suggested Citation

  • Zohreh Pakdaman & Jafar Ahmadi, 2019. "Switching time of the standby component to the k-out-of-n:G system in the stress–strength setup," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 82(2), pages 225-248, March.
    • Handle: RePEc:spr:metrik:v:82:y:2019:i:2:d:10.1007_s00184-018-0694-8
    DOI: 10.1007/s00184-018-0694-8
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    References listed on IDEAS

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    1. Eryilmaz, Serkan, 2012. "On the mean residual life of a k-out-of-n:G system with a single cold standby component," European Journal of Operational Research, Elsevier, vol. 222(2), pages 273-277.
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    6. Nil Kamal Hazra & Asok K. Nanda, 2017. "General standby allocation in series and parallel systems," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(19), pages 9842-9858, October.
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    Cited by:

    1. Bai, Senyang & Jia, Xiang & Cheng, Zhijun & Guo, Bo, 2021. "Operation strategy optimization for on-orbit satellite subsystems considering multiple active switching," Reliability Engineering and System Safety, Elsevier, vol. 215(C).

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