On some steady-state characteristics of systems with gradual repair

We consider a repairable system with continuous output that alternates between states of operation and repair. The output of the system in the operating state is represented by a continuous, decreasing function of time. We assume that during the repair state, the system can produce output that is modelled by an increasing stochastic process. The repair action gradually restores the output of the system to its initial level and it returns to the operating state. We obtain and analyse expressions for the generalized availability and related characteristics of systems with gradual repair and consider several meaningful examples.