Geodesic
Asymptotics of the total down time for an alternating renewal process
Mathematica Applicanda, Tome 11 (1983) no. 23, pp. 55-63.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

We investigate the asymptotic behavior of total down time of a system in which the breakdown process is an alternating renewal process, under the assumption that the probability of breakdown in a single cycle converges to zero. Using a theorem of R. Serfozo [J. Appl. Probab. 17 (1980), no. 2, 423–431; MR0568952], we find necessary and sufficient conditions for the convergence of the total down time to a compound Poisson process. We use these results in analyzing three examples: pairs of elements subject to detectable and undetectable breakdown (the Murphy and Phillips models), pairs of elements with a cold reserve served by one server; and an element with a temporal reserve.
DOI : 10.14708/ma.v11i23.1601
Classification : 60K10 (90B25)
Mots-clés : Applications, Reliability, availability, maintenance, inspection 
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Wiesław Dziubdziela. Asymptotics of the total down time for an alternating renewal process. Mathematica Applicanda, Tome 11 (1983) no. 23, pp.  55-63. doi : 10.14708/ma.v11i23.1601. http://geodesic.mathdoc.fr/articles/10.14708/ma.v11i23.1601/

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