The reliability analysis of Multi-operation state repairable system

To describe precisely the performance characteristics of Markov repairable systems, the model of Markov repairable systems with multi-operating state was introduced. There are three kinds of states of the system: normal, abnormal and fault state. The system works when it is in the normal state and abnormal state, it stops to be mended till it is inspected and diagnosed in abnormal state or something wrong happens in it. Inspect it at intervals after it begins to work in the normal state until it is inspected and diagnosed in abnormal state or it fails. The life of the system, inspection time intervals and repairing time follow exponential distribution, we build the Markov mathematic model to the system. The steady-state reliability and the expression of steady-state yield are derived by using the Markov process method. The study of numerical examples has shown that optimal inspection strategy can increase the system economic effectiveness.