The Eigen And Reliability Analysis Of A Repairable System

This paper mainly investigates a human-machine reparable systematic model representing two units active and one standby.Reparable system is one of the most important systems discussed in the reliability theory,and also the primary subject studied in reliability mathematics.Many scholars have done a lot of work about the sys-tem,and obtained plentiful and substantial fruit.this paper discusses a human-machine reparable system and investigates the well-posedness and asymptotic stabiliy of the system,a specific example was presented to show the existence of the non-zero eigenvalue of the system,and the eigenvalue and the eigenvector was one-to-one corre-sponding.Finally,we calculate the lower bound of the reliability of the system and it will be not less than the stable reliability of the system.