Availability of Periodically Inspected Systems with Markovian Wear and Shocks

Jeffrey P. Kharoufeh, Air Force Instititute of Technology
Daniel E. Finkelstein
Dustin G. Mixon

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© Applied Probability Trust 2006


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.