Reliability Analysis of Systems with Time-Varying Failure Rates

Moustafa Magdi S.
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Moustafa Magdi S.: The American University in Cairo, P.O. Box 2511, Cairo, Egypt

Stochastics and Quality Control, 2001, vol. 16, issue 1, 183-191

Abstract: A non-homogeneous Markov model is used to obtain closed form solutions of the state probabilities and the reliability of M modules in series where each module has Nm components in parallel. The components have exponential time-varying failure rates which depend on the module. If the failure rates are independent of the modules the results are extended to a K-out-of-N:G system and series-parallel. Examples of assuming the Weibull distributions are presented to illustrate the results.

Date: 2001
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DOI: 10.1515/EQC.2001.183

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