Journal of Applied Probability
- J. Appl. Probab.
- Volume 43, Number 2 (2006), 303-317.
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 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.
J. Appl. Probab. Volume 43, Number 2 (2006), 303-317.
First available in Project Euclid: 8 July 2006
Permanent link to this document
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
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. http://projecteuclid.org/euclid.jap/1152413724.