A geometric process maintenance model of a repairable system with a replaceable repair-facility

In this paper, we studied a simple repairable system with delayed repair and a replaceable repair-facility. The successive working times and the consecutive repair times are distributed according to geometric processes. There is a delayed repair time before each repair and the repair-facility is not completely eliable. We derive some important reliability indicates and the explicit expression of the long-run expected cost per unit time of the system.