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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Abstract

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

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

Dates
First available: 8 July 2006

Permanent link to this document
http://projecteuclid.org/euclid.jap/1152413724

Digital Object Identifier
doi:10.1239/jap/1152413724

Mathematical Reviews number (MathSciNet)
MR2248566

Zentralblatt MATH identifier
1132.90006

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

Keywords
Shock model wear process reliability average availability

Citation

Kharoufeh, Jeffrey P.; Finkelstein, Daniel E.; Mixon, Dustin G. Availability of periodically inspected systems with Markovian wear and shocks. Journal of Applied Probability 43 (2006), no. 2, 303--317. doi:10.1239/jap/1152413724. http://projecteuclid.org/euclid.jap/1152413724.


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