| This paper presents a a stochastic mathematical model representing two units and oneas a Safety System.And by using functional analyzing .Applying operator semigroup methodestablish a positive C0-semigroup. Obtain existence and uniqueness of system solution. Andthen we structure an elementary step function to approximate the repair rateμi(x)(i=4, 5)in the system, and presents the semi-dicretizationg model,by studying R(γ, A+E), R(γ, An+En)and use Trottertheorem in semigroup theory approaching of system solution. |