k-out-of-n system with repair: the max(N,T) policy

Autor:	Achyutha Krishnamoorthy, P. V. Ushakumari
Rok vydání:	2004
Předmět:	Combinatorics Moment (mathematics) Distribution (mathematics) Exponential distribution Computer Networks and Communications Hardware and Architecture Modeling and Simulation State (functional analysis) Time duration Random variable Software System characteristics Mathematics
Zdroj:	Performance Evaluation. 57:221-234
ISSN:	0166-5316
DOI:	10.1016/j.peva.2003.10.006
Popis:	We consider a k-out-of-n system with repair under the max(N, T) policy. Under this policy, the repair facility is activated for repair of failed units whenever the maximum of an exponentially distributed time duration T and the sum of N (1 ≤ N ≤ n - k) random variables is realized. The repair times and lifetimes of components are assumed to be independent exponentially distributed random variables. The repaired units are assumed to be as good as new. Failed units are repaired one at a time. The repair facility is switched off the moment all failed units are back to operation. System state probabilities in the long run are derived for (a) cold (b) warm and (c) hot systems. System reliability, the distribution of time during which the server is continuously engaged and its expected duration are computed. Several other system characteristics are also obtained. Determination of the optimal values of N and α is discussed and some numerical illustrations are provided.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9ac53fc883ff1e40f3ff2727692d1e0c https://doi.org/10.1016/j.peva.2003.10.006 Zobrazit plný text záznamu Full Text from ScienceDirect