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A general framework for some asymptotic reliability formulas

Published online by Cambridge University Press:  01 July 2016

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.

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.

Type
General Applied Probability
Copyright
Copyright © Applied Probability Trust 2000 

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