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Transient behaviour of instantaneous and average availabilities in non-Markovian configuration

Tanguy Christian

Safety and Reliability of Systems and Processes

2022

Summer Safety and Reliability Seminar 2022

185--194

In this work, we calculate the exact instantaneous and average availabilities for a system in which the failure distribution is a gamma distribution with a rational shape parameter α, and the repair time distribution is exponential. Various regimes exist, for which the availabilities may or may not attain values below the asymptotic limit. This is an example of configurations where using the steady-state value may lead to an overoptimistic assessment of the availability of an equipment or system during its mission time.