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A model in which component failure rates depend on the working set

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  • Sheldon M. Ross

Abstract

We consider a multicomponent system in which the failure rate of a given component at any time depends on the set of working components at that time. Sufficient conditions are presented under which such a system has a life distribution of specified type. The Laplace transform of the time until all components are down is derived. When repair is allowed, conditions under which the resulting process is time reversible are presented.

Suggested Citation

  • Sheldon M. Ross, 1984. "A model in which component failure rates depend on the working set," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 31(2), pages 297-300, June.
    • Handle: RePEc:wly:navlog:v:31:y:1984:i:2:p:297-300
    DOI: 10.1002/nav.3800310211
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    Cited by:

    1. Pramendra Singh Pundir & Puneet Kumar Gupta, 2018. "Reliability Estimation in Load-Sharing System Model with Application to Real Data," Annals of Data Science, Springer, vol. 5(1), pages 69-91, March.
    2. Azeem Ali & Sanku Dey & Haseeb Ur Rehman & Zeeshan Ali, 2019. "On Bayesian reliability estimation of a 1-out-of-k load sharing system model of modified Burr-III distribution," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 10(5), pages 1052-1081, October.
    3. Li, Chen & Li, Xiaohu, 2021. "On stochastic dependence in residual lifetime and inactivity time with some applications," Statistics & Probability Letters, Elsevier, vol. 177(C).
    4. Moshe Shaked & J. George Shanthikumar & Haolong Zhu, 1993. "Discrete repairable reliability systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(6), pages 769-786, October.

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