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Stochastic models for reliability
In practice, it is often important to know how a system is performing as compared with initial, prior assessment of its reliability characteristics (black‐box scenario). For degrading systems, this comparison can be executed by observing degradation dynamically and then comparing the corresponding remaining lifetime of an operating system at each instant of time with that of the black‐box scenario. As a motivating example, the 1 out of n cold standby system is considered. Then the results of comparisons are generalized to the case of the general monotone stochastic processes of deterioration. Finally, based on the developed reasoning, a problem of describing the quality of performance of systems executing missions of the fixed duration is considered for the cost‐wise and probability‐wise criteria. The detailed numerical examples for the homogeneous gamma process of deterioration are presented.
Applied Stochastic Models in Business and Industry – Wiley
Published: Mar 1, 2021
Keywords: ; ; ; ;
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