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Availability of periodically inspected systems with Markovian wear and shocks

  • Jeffrey P. Kharoufeh (a1), Daniel E. Finkelstein (a1) and Dustin G. Mixon (a1)
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.

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Copyright
Corresponding author
Postal address: Department of Operational Sciences, Air Force Institute of Technology, Wright-Patterson Air Force Base, OH 45433-7765, USA. Email address: jeffrey.kharoufeh@afit.edu
∗∗Postal address: Department of Mathematics and Statistics, Air Force Institute of Technology, Wright-Patterson Air Force Base, OH 45433-7765, USA.
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This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

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P. C. Kiessler , G.-A. Klutke and Y. Yang (2002). Availability of periodically inspected systems subject to Markovian degradation. J. Appl. Prob. 39, 700711.

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Journal of Applied Probability
  • ISSN: 0021-9002
  • EISSN: 1475-6072
  • URL: /core/journals/journal-of-applied-probability
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