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Estimation of the survival function of a repairable standby series system

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  • Z. Khalil
  • A. D. Dharmadhikari
  • B. H. Joshi

Abstract

This article deals with the statistical analysis of an N‐component series system supported by an active standby and one repair facility. Assuming that the life and repair times of the components are independent exponential random variables, the probability distribution of the first passage to the system failure time is shown to be a convolution of two independent exponential distributions. Three observation schemes are considered to obtain the maximum likelihood estimates of the survival function. Information matrices are supplied. Numerical results based on Monte Carlo simulation are presented. It is noted that component level information (failure rate, repair rate) is not necessary for estimating the survival function of the system.

Suggested Citation

  • Z. Khalil & A. D. Dharmadhikari & B. H. Joshi, 1991. "Estimation of the survival function of a repairable standby series system," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(4), pages 611-621, August.
    • Handle: RePEc:wly:navres:v:38:y:1991:i:4:p:611-621
    DOI: 10.1002/1520-6750(199108)38:43.0.CO;2-3
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    References listed on IDEAS

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    1. D. N. Naik, 1984. "A method for estimating the parameters of reliability models," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 31(3), pages 493-498, September.
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