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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
© Applied Probability Trust 2006 
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.

J. Abate and W. Whitt (1995). Numerical inversion of Laplace transforms of probability distributions. ORSA J. Comput. 7, 36–43.
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J. P. Kharoufeh (2003). Explicit results for wear processes in a Markovian environment. Operat. Res. Lett. 31, 237–244.
P. C. Kiessler , G.-A. Klutke and Y. Yang (2002). Availability of periodically inspected systems subject to Markovian degradation. J. Appl. Prob. 39, 700–711.
G.-A. Klutke and Y. Yang (2002). The availability of inspected systems subject to shocks and graceful degradation. IEEE Trans. Reliab. 51, 371–374.
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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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