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.
Similar content being viewed by others
References
Asadi M, Berred A (2012) On the number of failed components in a coherent operating system. Stat Probab Lett 82:2156–2163
Boland PJ (2001) Signatures of indirect majority systems. J Appl Probab 38:597–603
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
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
Navarro J, Rubio R (2010) Comparisons of coherent systems using stochastic precedence. Test 19:469–486
Navarro J, Rychlik T (2010) Comparisons and bounds for expected lifetimes of reliability systems. Eur J Oper Res 207:309–317
Navarro J, Samaniego FJ, Balakrishnan N (2011) Signature-based representations for the reliability of systems with heterogeneous components. J Appl Probab 48:856–867
Samaniego FJ (1985) On closure of the IFR class under formation of coherent systems. IEEE Trans Reliab R–34:69–72
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
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.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
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
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00184-013-0441-0