The Optimal Replacement Problem of a Repairable System with Its Repairman Having Multiple Delayed Vacations

摘要

In this paper, a simple repairable system with its repairman having multiple delayed vacations is studied. Assume that the operating time distribution, the consecutive repair time distribution, the vacation time distribution and the delayed vacation time, distribution are all exponential. After repair, the system is not "as good as new". Adopting the replacement policy N which based on the number of failures of the system, we derive the explicit express of the long-run expected cost per unit time. The optimal replacement policy is provided numerically.