Reliability analysis for dust removing reparable system of scraper settling chamber

In this paper, we deal with an dust-removing reparable system that is widely used in the wood industry. Suppose that the life of all components satisfy the exponentially distribution and the repair time of components satisfy the general distribution. A mathematical model is built via the differential and partial differential equation, and some results such as the existence and uniqueness of the solution, the exponential stability of the system and some indices of steady-state are derived.