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On reliability analysis of consecutive k-out-of-n systems with arbitrarily dependent components.

Autor: Salehi, Ebrahim
Jazyk: angličtina
Předmět:
Druh dokumentu: Non-fiction
ISSN: 0862-7940
Abstrakt: Abstract: In this paper, we consider the linear and circular consecutive $k$-out-of-$n$ systems consisting of arbitrarily dependent components. Under the condition that at least $n-r+1$ components ($r\leq n$) of the system are working at time $t$, we study the reliability properties of the residual lifetime of such systems. Also, we present some stochastic ordering properties of residual lifetime of consecutive $k$-out-of-$n$ systems. In the following, we investigate the inactivity time of the component with lifetime $T_{r:n}$ at the system level for the consecutive $k$-out-of-$n$ systems under the condition that the system is not working at time $t>0$, and obtain some stochastic properties of this conditional random variable.
Databáze: Katalog Knihovny AV ČR
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