The Reliability of a Repairable System with Reserve Components

摘要

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.