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A general framework for some asymptotic reliability formulas

Part of: Operations research and management science Special processes

Published online by Cambridge University Press:  01 July 2016

Christiane Cocozza-Thivent  and
Michel Roussignol
Christiane Cocozza-Thivent*
Affiliation:
Université de Marne la Vallée
Michel Roussignol*
Affiliation:
Université de Marne la Vallée
*
∗ Postal address: Equipe d'Analyse et de Mathématiques Appliquées, Université de Marne la Vallée, 5 boulevard Descartes, F-77454 Marne la Vallée Cedex 2, France.
∗ Postal address: Equipe d'Analyse et de Mathématiques Appliquées, Université de Marne la Vallée, 5 boulevard Descartes, F-77454 Marne la Vallée Cedex 2, France.
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Abstract

The authors prove that certain reliability formulas which link asymptotic availability, mean normal operation time, mean time between failures, mean number of failures over a period of time and asymptotic Vesely rate, and which are well known in the case of modelling using a Markov jump process or an alternating renewal process, are also true in the context of more general modelling.

Keywords

Semi-Markov processrenewal processreliabilityavailability

MSC classification

Primary: 60K20: Applications of Markov renewal processes (reliability, queueing networks, etc.)
Secondary: 90B25: Reliability, availability, maintenance, inspection
Type
General Applied Probability
Information
Advances in Applied Probability , Volume 32 , Issue 2 , June 2000 , pp. 446 - 467
Copyright
Copyright © Applied Probability Trust 2000 

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References

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