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Coherent system with standby components

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  • Serkan Eryilmaz
  • T. Erman Erkan

Abstract

A coherent system that consists of n independent components and equipped with r cold standby components is considered. A generalized mixture representation for the survival function of such a system is obtained, and it is used to examine reliability properties of the system. In particular, the effect of adding r standby components to a given set of original components is measured by computing mean time to failure of the system. The limiting behavior of the failure rate of the system is also examined using the mixture representation. The results are illustrated for a bridge system. A case study that is concerned with an oil pipeline system is also presented.

Suggested Citation

  • Serkan Eryilmaz & T. Erman Erkan, 2018. "Coherent system with standby components," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 34(3), pages 395-406, May.
    • Handle: RePEc:wly:apsmbi:v:34:y:2018:i:3:p:395-406
    DOI: 10.1002/asmb.2307
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    Cited by:

    1. Finkelstein, Maxim & Cha, Ji Hwan & Langston, Amy, 2022. "Optimal preventive switching of components in degrading systems," Reliability Engineering and System Safety, Elsevier, vol. 219(C).
    2. Li, Chen & Li, Xiaohu, 2023. "On k-out-of-n systems with homogeneous components and one independent cold standby redundancy," Statistics & Probability Letters, Elsevier, vol. 203(C).
    3. Min Gong & Hanlin Liu & Rui Peng, 2020. "Redundancy allocation of mixed warm and cold standby components in repairable K-out-of-N systems," Journal of Risk and Reliability, , vol. 234(5), pages 696-707, October.

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