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The rate of occurrence of failures

Part of: Operations research and management science Markov processes

Published online by Cambridge University Press:  14 July 2016

Lam Yeh
Lam Yeh*
Affiliation:
The Chinese University of Hong Kong
*
∗Postal address: Department of Statistics, The Chinese University of Hong Kong, Shatin, NT, Hong Kong.
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Abstract

In this article, we assume that the state of a system forms a continuous-time Markov chain or a higher-dimensional Markov process after introducing some supplementary variables. A formula for evaluating the rate of occurrence of failures for the system is derived. As an application of the theory, a maintenance model for a two-component system is also studied.

Keywords

SUPPLEMENTARY VARIABLERATE OF OCCURRENCE OF FAILURES

MSC classification

Primary: 90B25: Reliability, availability, maintenance, inspection
Secondary: 60J25: Continuous-time Markov processes on general state spaces
Type
Research Papers
Information
Journal of Applied Probability , Volume 34 , Issue 1 , March 1997 , pp. 234 - 247
Copyright
Copyright © Applied Probability Trust 1997 

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