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Availability of periodically inspected systems with Markovian wear and shocks

Published online by Cambridge University Press:  14 July 2016

Jeffrey P. Kharoufeh*
Affiliation:
Air Force Institute of Technology
Daniel E. Finkelstein*
Affiliation:
Air Force Institute of Technology
Dustin G. Mixon*
Affiliation:
Air Force Institute of Technology
*
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.
∗∗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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Abstract

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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.

Type
Research Papers
Copyright
© Applied Probability Trust 2006 

References

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