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Stability analysis of a k-out-of-N:G reparable system

Published online by Cambridge University Press:  17 February 2009

Houbao Xu
Houbao Xu
Affiliation:
Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China; e-mail: xuhoubao@yahoo.com.cn.
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Abstract

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A k-out-of-N:G reparable system with an arbitrarily distributed repair time is studied in this paper. We translate the system into an Abstract Cauchy Problem (ACP). Analysing the spectrum of the system operator helps us to prove the well-posedness and the asymptotic stability of the system.

Keywords

k-out-of-N:G reparable systemwell-posednessasymptotic stabilityavailability
Type
Research Article
Information
The ANZIAM Journal , Volume 48 , Issue 2 , October 2006 , pp. 271 - 284
Copyright
Copyright © Australian Mathematical Society 2006

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