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Properties and computation of interval availability of system

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  • Huang, Kai
  • Mi, Jie

Abstract

In this paper, we study the interval availability Aw(t) of a repairable system through an integral equation. We proved initial monotonicity of the interval availability, and derived lower bounds to Aw(t) and average availability. The limit of the interval availability is also obtained. A Block-by-Block algorithm for numerically computing Aw(t) is proposed. Various examples show the high accuracy and efficiency of this algorithm.

Suggested Citation

  • Huang, Kai & Mi, Jie, 2013. "Properties and computation of interval availability of system," Statistics & Probability Letters, Elsevier, vol. 83(5), pages 1388-1396.
    • Handle: RePEc:eee:stapro:v:83:y:2013:i:5:p:1388-1396
    DOI: 10.1016/j.spl.2013.01.018
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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.
    3. 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.
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