Abstract:

The reliability of multi-state a repairable system with replacement policy N is investigated. The performance of system degrades level by level, and the holding time, the repair time and replacement time on each level are assumed to follow the phase type (PH) distribution. The system can be repaired by the incomplete a fixed number of times N, and it is replaced by a new one when the follow failure occurs. The analytical forms of the availability of this system, the distribution and mean of the replacement intervaltime is presented. Then, the spare parts demand law is described by a Markovian arrival process (MAP). Finally, a numerical example is given to illustrate the effectiveness of the model.