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Limiting availability of system with non-identical lifetime distributions and non-identical repair time distributions

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  • Mi, Jie

Abstract

The limiting availability, or steady state availability of a repairable system is studied. It is assumed that the lifetimes of system are independent but not necessarily identically distributed, and the times for repairing the failed systems are also independent but not necessarily identically distributed. It can be used to better model the real situation than the usual i.i.d. assumption. In this paper, sufficient conditions are given under which the limiting availability of the system exists and its closed-form expression is also derived.

Suggested Citation

  • Mi, Jie, 2006. "Limiting availability of system with non-identical lifetime distributions and non-identical repair time distributions," Statistics & Probability Letters, Elsevier, vol. 76(7), pages 729-736, April.
    • Handle: RePEc:eee:stapro:v:76:y:2006:i:7:p:729-736
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    References listed on IDEAS

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    1. Biswas, Atanu & Sarkar, Jyotirmoy, 2000. "Availability of a system maintained through several imperfect repairs before a replacement or a perfect repair," Statistics & Probability Letters, Elsevier, vol. 50(2), pages 105-114, November.
    2. Sarkar, Jyotirmoy & Chaudhuri, Gopal, 1999. "Availability of a system with gamma life and exponential repair time under a perfect repair policy," Statistics & Probability Letters, Elsevier, vol. 43(2), pages 189-196, June.
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    Cited by:

    1. Huang, Kai & Mi, Jie, 2013. "Properties and computation of interval availability of system," Statistics & Probability Letters, Elsevier, vol. 83(5), pages 1388-1396.
    2. Sebastián Román & José Romeo & Victor Salinas-Torres, 2014. "Bayesian estimation of the limiting availability in the presence of right-censored data," METRON, Springer;Sapienza Università di Roma, vol. 72(3), pages 247-267, October.
    3. Song, Sanling & Coit, David W. & Feng, Qianmei, 2014. "Reliability for systems of degrading components with distinct component shock sets," Reliability Engineering and System Safety, Elsevier, vol. 132(C), pages 115-124.

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