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Availability of periodically inspected systems with Markovian wear and shocks

Part of: Special processes Operations research and management science

Published online by Cambridge University Press:  14 July 2016

Jeffrey P. Kharoufeh ,
Daniel E. Finkelstein  and
Dustin G. Mixon
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.

Keywords

Shock modelwear processreliabilityaverage availability

MSC classification

Primary: 90B25: Reliability, availability, maintenance, inspection
Secondary: 60K37: Processes in random environments
Type
Research Papers
Information
Journal of Applied Probability , Volume 43 , Issue 2 , June 2006 , pp. 303 - 317
Copyright
© Applied Probability Trust 2006 

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