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On availability of Bayesian imperfect repair model

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  • Cha, Ji Hwan
  • Kim, Jae Joo

Abstract

Lim et al. (Commun. Statist. Theory Meth. 27 (4) (1998) 965) proposed the Bayesian imperfect repair model, in which a failed system is perfectly repaired with probability P and is minimally repaired with probability 1-P, where P is not fixed but a random variable with a prior distribution [Pi](p). In this note, the steady state availability of the model is derived and the measure is obtained for several particular prior distribution functions.

Suggested Citation

  • Cha, Ji Hwan & Kim, Jae Joo, 2001. "On availability of Bayesian imperfect repair model," Statistics & Probability Letters, Elsevier, vol. 53(2), pages 181-187, June.
  • Handle: RePEc:eee:stapro:v:53:y:2001:i:2:p:181-187
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    References listed on IDEAS

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    1. Moshe Shaked & J. George Shanthikumar, 1986. "Multivariate Imperfect Repair," Operations Research, INFORMS, vol. 34(3), pages 437-448, June.
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    Cited by:

    1. Bebbington, Mark & Lai, Chin-Diew & Zitikis, RiÄ ardas, 2009. "Balancing burn-in and mission times in environments with catastrophic and repairable failures," Reliability Engineering and System Safety, Elsevier, vol. 94(8), pages 1314-1321.

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