Reliability Analysis of Gnedenko System with Multiple Vacations

摘要

This paper studies the Gnedenko system attended by a repairman with multiple vacations. It is assumed that the life of the operating unit, the standby and the rest operable units when the system is down and the vacation time of the repairman are all exponential distributions, while the repair time of the unit has a general continuous distribution. By using the supplementary variable method, we obtain the Laplace transformation of the reliability and the explicit expression of the mean time to first failure of the system.