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Reliability of a coherent system equipped with two cold standby components

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  • Achintya Roy

    (Indian Institute of Technology Kharagpur)

  • Nitin Gupta

    (Indian Institute of Technology Kharagpur)

Abstract

In this paper, we focus on a particular type of coherent system which may fail either on the failure of its first component or on the failure of its second component. We investigate the renewal of such a coherent system using two cold standby components. We obtain the reliability function of the considered coherent system which is equipped with two cold standby components. We study the problem to optimize the reliability of the system. Some stochastic ordering results are also presented. Examples are provided to illustrate the theoretical results presented in this study. Our results subsume some of the earlier results in the literature.

Suggested Citation

  • Achintya Roy & Nitin Gupta, 2020. "Reliability of a coherent system equipped with two cold standby components," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 83(6), pages 677-697, August.
    • Handle: RePEc:spr:metrik:v:83:y:2020:i:6:d:10.1007_s00184-019-00752-3
    DOI: 10.1007/s00184-019-00752-3
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    References listed on IDEAS

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    1. Asadi, Majid & Berred, Alexandre, 2012. "On the number of failed components in a coherent operating system," Statistics & Probability Letters, Elsevier, vol. 82(12), pages 2156-2163.
    2. Eryilmaz, Serkan, 2017. "The effectiveness of adding cold standby redundancy to a coherent system at system and component levels," Reliability Engineering and System Safety, Elsevier, vol. 165(C), pages 331-335.
    3. 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.
    4. Jorge Navarro, 2018. "Stochastic comparisons of coherent systems," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 81(4), pages 465-482, May.
    5. Yashi Wang, 2016. "Conditional k-out-of-n systems with a cold standby component," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(21), pages 6253-6262, November.
    6. Francisco J. Samaniego, 2007. "System Signatures and their Applications in Engineering Reliability," International Series in Operations Research and Management Science, Springer, number 978-0-387-71797-5, March.
    7. P. Samadi & M. Rezaei & M. Chahkandi, 2017. "On the residual lifetime of coherent systems with heterogeneous components," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 80(1), pages 69-82, January.
    8. Ahmad Mirjalili & Mohammad Khanjari Sadegh & Majid Rezaei, 2017. "A note on the mean residual life of a coherent system with a cold standby component," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(20), pages 10348-10358, October.
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    Cited by:

    1. Mohamed Kayid & Mashael A. Alshehri, 2023. "Stochastic Comparisons of Lifetimes of Used Standby Systems," Mathematics, MDPI, vol. 11(14), pages 1-17, July.

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