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A study on reliability of coherent systems equipped with a cold standby component

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Abstract

In this paper, we investigate the effect of a single cold standby component on the performance of a coherent system. In particular, we focus on coherent systems which may fail at the time of the first component failure in the system. We obtain signature based expressions for the survival function and mean time to failure of the coherent systems satisfying the abovementioned property.

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References

  • Asadi M, Berred A (2012) On the number of failed components in a coherent operating system. Stat Probab Lett 82:2156–2163

    Article  MathSciNet  Google Scholar 

  • Boland PJ (2001) Signatures of indirect majority systems. J Appl Probab 38:597–603

    Article  MATH  MathSciNet  Google Scholar 

  • Eryilmaz S (2012a) On the mean residual life of a k-out-of-n:G system with a single cold standby component. Eur J Oper Res 222:273–277

    Article  MATH  MathSciNet  Google Scholar 

  • Eryilmaz S (2012b) A new look at dynamic behavior of binary coherent system from a state-level perspective. Ann Oper Res. doi:10.1007/s10479-012-1138-x

  • Mahmoudi M, Asadi M (2011) The dynamic signature of coherent systems. IEEE Trans Reliab 60:817–822

    Article  Google Scholar 

  • Navarro J, Rubio R (2010) Comparisons of coherent systems using stochastic precedence. Test 19:469–486

    Article  MATH  MathSciNet  Google Scholar 

  • Navarro J, Rychlik T (2010) Comparisons and bounds for expected lifetimes of reliability systems. Eur J Oper Res 207:309–317

    Article  MATH  MathSciNet  Google Scholar 

  • Navarro J, Samaniego FJ, Balakrishnan N (2011) Signature-based representations for the reliability of systems with heterogeneous components. J Appl Probab 48:856–867

    Article  MATH  MathSciNet  Google Scholar 

  • Samaniego FJ (1985) On closure of the IFR class under formation of coherent systems. IEEE Trans Reliab R–34:69–72

    Article  Google Scholar 

  • Samaniego FJ (2007) System signatures and their applications in engineering reliability. Springer, New York

  • van Gemund AJC, Reijns GL (2012) Reliability analysis of k-out-of-n systems with single cold standby using Pearson distributions. IEEE Trans Reliab 61:526–532

    Article  Google Scholar 

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Acknowledgments

The author would like to thank the referee for his/her review and useful comments. The author also wishes to thank Professor F. J. Samaniego for his comments on earlier draft of this article.

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Correspondence to Serkan Eryilmaz.

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Eryilmaz, S. A study on reliability of coherent systems equipped with a cold standby component. Metrika 77, 349–359 (2014). https://doi.org/10.1007/s00184-013-0441-0

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  • DOI: https://doi.org/10.1007/s00184-013-0441-0

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