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

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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