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A Closed-formula for Mean Time Between Failures of Minimal Repaired Systems under Weibull Failure Distribution

Volume 3, Number 2, April 2007 - Paper 3  - pp. 225 - 230

ANATOLI PAUL ULMEANU and DUMITRU CEZAR IONESCU

University Politehnica of Bucharest, Faculty of Power Engineering
313 Splaiul Independentei
060042 Bucharest, Romania

(Received on June 13, 2006)


Abstract:

We examine the behaviour of maintained systems that deteriorate according to a Non Homogenous Poisson Processes (NHPP). The system failures are selfannouncing; after each failure only a minimal repair is made so that the system failure rate l(t) (corresponding to Weibull failure distribution Weib (a,b)) is not disturbed. We propose a closed-formula for computing Mean Time between Failures as function of Mean Time to First Failure MTTF and the shape parameter b of Weibull failure distribution. This can lead to evaluate better the graceful degradation of complex system (power stations, airplanes, computers, etc.) with a minimal repair maintenance policy between replacements or overhauls.

 

References: 05

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