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Availability of periodically inspected systems subject to Markovian degradation. (English) Zbl 1090.90052

Summary: This paper studies inspected systems with non-self-announcing failures where the rate of deterioration is governed by a Markov chain. We compute the lifetime distribution and availability when the system is inspected according to a periodic inspection policy. In doing so, we expose the role of certain transient distributions of the environment.

MSC:

90B25 Reliability, availability, maintenance, inspection in operations research
60K15 Markov renewal processes, semi-Markov processes
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