Stability of a multi-state repairable system with two repair distributions

In this paper, the well-posed-ness and stability of the multi-state system with two repair distributions were discussed by applying the c
₀
semigroups theory of function analysis. As application of the above results, a new method of computing the stationary availability of the repairable system was given. Moreover, Numerical results were provided to investigate the effects of various system parameters on the steady-state availability of the system.