Availability evaluation of machine repairable system with service station breakdowns

This paper studies the machine repair problem, There are K identical unreliable machines, N identical unreliable service stations and c identical reliable repair facilities in the system. The service stations maintain the failure machines only, and the repair facilities repair the breakdowns of unreliable service stations only. Every distribution of time lasting is exponential distribution. The breakdown rate of each service station is changeable, it may be different between busy time and idle time. We give the transition rate matrix of the model. The availability characters in symbol form for the special case of the model. The numerical example is presented.