An α -Series Process Repair Model for A Deteriorating Cold Standby Repairable System with Priority in Repair and Use

Abstract

This paper studies a deteriorating cold standby repairable system consisting of two dissimilar components and one repairman by assuming that the successive working times form a decreasing α-series process while the consecutive repair times constitute an increasing α-series process, and component 1 has priority in repair and use. A repair replacement policy N based on the number of repairs of component 1 under which the system is replaced when the number of repairs of component 1 reaches N is considered and determined an optimal policy N* such that the average cost rate (i.e. The long-run average cost per unit time) of the system is minimized. The explicit equation of the average cost rate of the system is derived and the corresponding optimal replacement policy N* can be determined analytically or numerically.