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Analysis of multi-state warm standby system reliability model with repair priority

A single repair facility can provide the services of corrective maintenance and protective maintenance. For a multi-state warm standby system with repair priority, a model is built to describe the system reliability satisfactorily based on the PH distribution, which can fit any distribution approximately. A series of reliability features including system stability availability, system failure rate and mean time between failures (MTBF) are obtained. The applicability of PH distribution is verified in the numerical application to demonstrate the fluctuation of system reliability function as time goes by.