Journal of Applied Probability

Availability of periodically inspected systems with Markovian wear and shocks

Jeffrey P. Kharoufeh, Daniel E. Finkelstein, and Dustin G. Mixon

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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 explicitly derive the system's lifetime distribution and mean time to failure, as well as the limiting average availability. The main results are illustrated in two numerical examples.

Article information

J. Appl. Probab. Volume 43, Number 2 (2006), 303-317.

First available in Project Euclid: 8 July 2006

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 90B25: Reliability, availability, maintenance, inspection [See also 60K10, 62N05]
Secondary: 60K37: Processes in random environments

Shock model wear process reliability average availability


Kharoufeh, Jeffrey P.; Finkelstein, Daniel E.; Mixon, Dustin G. Availability of periodically inspected systems with Markovian wear and shocks. J. Appl. Probab. 43 (2006), no. 2, 303--317. doi:10.1239/jap/1152413724.

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