Journal of Applied Probability

Availability of periodically inspected systems subject to Markovian degradation

Peter C. Kiessler, Georgia-Ann Klutke, and Yoonjung Yang

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This paper studies inspected systems with non-self-announcing failures where the rate of deterioration is governed by a Markov chain. We compute the lifetime distribution and availability when the system is inspected according to a periodic inspection policy. In doing so, we expose the role of certain transient distributions of the environment.

Article information

J. Appl. Probab. Volume 39, Number 4 (2002), 700-711.

First available in Project Euclid: 20 November 2002

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 90B25: Reliability, availability, maintenance, inspection [See also 60K10, 62N05]
Secondary: 60K15: Markov renewal processes, semi-Markov processes

Availability Markovian degradation non-self-announcing failure lifetime distribution periodic inspections Fourier expansion


Kiessler, Peter C.; Klutke, Georgia-Ann; Yang, Yoonjung. Availability of periodically inspected systems subject to Markovian degradation. J. Appl. Probab. 39 (2002), no. 4, 700--711. doi:10.1239/jap/1037816013.

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