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

ANZIAM J. 48 (2006), 271-284

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

Houbao Xu
Department of Mathematics
Beijing Institute of Technology
Beijing 100081
China
xuhoubao@yahoo.com.cn

Abstract

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.

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