Paper Infomation
The Reliability of a Repairable System with Reserve Components
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Author: Lijun Wei, Jinhan Sun, Ming Fang
Abstract: In this paper, a kind of human-machine system with general failed system repair time distribution is studied. By using the theory of the linear operator in semi-groups, we proved that the non-negative time-dependent existence and uniqueness, asymptotic stability and exponential stability of the solution. At last, we show a computer numerical simulation of the steady-state availability of warning system and non-warning system by mathematical software.
Keywords: Human-machine System, Stability, Steady-state Availability
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