Availability of Periodically Inspected Systems with Markovian Wear and Shocks

Availability of Periodically Inspected Systems with Markovian Wear and Shocks

We analyze a periodically inspected system with hidden failures in which the rate of wear is modulated by a continuous-time Markov chain and additional damage is induced by a Poisson shock process. We derive explicitly the system's lifetime distribution and mean time to failure, as well as the...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Kharoufeh, Jeffrey P, Finkelstein, Daniel E, Mixon, Dustin G
Format: Report
Sprache:eng
Schlagworte:
COMPUTATION SCIENCE
DEGRADATION
MAINTENANCE MANAGEMENT
Mechanics
Operations Research
RELIABILITY
REPRINTS
SHOCK MODELS
WEAR
WEAR PROCESS3S
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Beschreibung
Zusammenfassung:We analyze a periodically inspected system with hidden failures in which the rate of wear is modulated by a continuous-time Markov chain and additional damage is induced by a Poisson shock process. We derive explicitly the system's lifetime distribution and mean time to failure, as well as the limiting average availability. The main results are illustrated through two numerical examples. Published in Journal of Applied Probability, v43 n2 p303-317, 24 Mar 2006.