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Modeling repairable systems with failure rates that depend on age and maintenance

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2 Author(s)
Chan, J.-K. ; Norden Syst. United Technol., Melville, NY, USA ; Shaw, L.

A general repairable system model that includes age and preventive maintenance (PM) dependent failure rates is proposed. This model introduces the concept of system availability as a random variable, leading to availability measures for individual realizations, rather than for the average over many trials. Thus this model generalizes the classical definition, and serves as a performance index for system design. A design scheme suggested to maximize the probability of achieving a specified stochastic cycle availability with respect to the duration of the operating interval between PMs. Numerical computations of the results for Weibull-like distributions illustrate the design criteria. Asymptotic behavior of the performance with no PM has been studied. Extension to other distributions is straightforward

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Reliability, IEEE Transactions on  (Volume:42 ,  Issue: 4 )