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Reliability of a system with Poisson inspection times

Part of: Operations research and management science Special processes

Published online by Cambridge University Press:  14 July 2016

Laurence Dieulle
Laurence Dieulle*
Affiliation:
Université de Technologie de Troyes
*
∗Postal address: Université de Technologie de Troyes, Laboratoire de Modélisation et de sûreté des Systems, 2 rue Marie Curie, 1000 Troyes, France. Email address: laurence.dieulle@univ-troyes.fr
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Abstract

For systems subject to inspections at Poisson random times, we present an analytic method which gives upper and lower bounds for the reliability. We also study its asymptotic behaviour and derive the asymptotic failure rate.

Keywords

Maintenanceinspectionfailure ratereliabilityMTTFrenewal theorem

MSC classification

Primary: 60K20: Applications of Markov renewal processes (reliability, queueing networks, etc.)
Secondary: 90B25: Reliability, availability, maintenance, inspection
Type
Research Papers
Information
Journal of Applied Probability , Volume 36 , Issue 4 , December 1999 , pp. 1140 - 1154
Copyright
Copyright © Applied Probability Trust 1999 

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