An Optimal Repair Replacement Model for A Repairable System Using Geometric Process Exposing to Weibull Failure Law

This paper applies the geometric process repair model exposing to Weibull failure law to a bivariate replacement policy for a two unit identical component cold standby repairable system with one repairman. It assumed that the successive working times forms decreasing geometric process, while the successive repair times forms an increasing geometric process and both the process are exposing to Weibull failure law. Under these assumptions, an expression for the long-run average cost per unit time is derived and determines optimal number of failures such that the long run average cost per unit time is minimized.