In this paper, the optimal replacement problem is investigated for a system with two types of failures. One type of failure is repairable, which is conducted by a repairman when it occurs, and the other is unrepairable, which leads to a replacement of the system at once. The repair of the system...

In this paper, the reliability and replacement policy of a k/n(F) (i.e. k-out-of-n: F) system with repairable repair-equipment is analyzed. We assume thatboth the working and repair times of all components in the system and therepair-equipment follow exponential distributions, and the repairs on...