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A note on the mean residual life of a coherent system with a cold standby component

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  • Ahmad Mirjalili
  • Mohammad Khanjari Sadegh
  • Majid Rezaei

Abstract

In this paper, we investigate the effect of a cold standby component on the mean residual life (MRL) of a system. When the system fails, a cold standby component is immediately put in operation. We particularly focus on the coherent systems in which, after putting the standby component into operation, the failure of the system is due to the next component failure. For these systems, we define MRL functions and obtain their explicit expressions. Also some stochastic ordering results are provided. Such systems include k-out-of-n systems. Hence, our results extend some results in literature.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:20:p:10348-10358
    DOI: 10.1080/03610926.2016.1235194
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    Cited by:

    1. Longlong Liu & Xiaochuan Ai & Jun Wu, 2024. "Reliability and Residual Life of Cold Standby Systems," Mathematics, MDPI, vol. 12(10), pages 1-22, May.
    2. 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.

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