The paper presents a methodology based on relevant condition predictor (RCP
) for reliability prediction for systems under condition-based maintenance.
By considering the event of not being able to recognise the fault initiati
on or the critical state in RCP-based maintenance, the methodology uses Mar
kov models for reliability prediction. The cases of single and multiple rel
evant condition predictors are presented along with a numerical procedure t
o obtain the reliability functions for RCP-based maintained systems. Numeri
cal examples are used to illustrate the methodology and the values of relia
bility are obtained at discrete time points using the numerical algorithm.
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