Some Bivariate Replacement Policies Under Partial Product Process in an Alternative Repair Model

Abstract

A common assumption in replacement problems is that the repair of a failed system may yield a functioning system, which may be either as good as new (complete repair) or as old as just prior to failure (partial repair). In this paper, we study the partial product process and replacement model for a deteriorating system under various conditions and a repairable system of an alternative repair model, called the Negligible Or Non-Negligible (NONN) repair times introduced by Thangaraj and Rizwan [2001] to develop a new repair model, some replacement policies (T;N) and (T⁺;N) with NONN repair times where T is the working age of the system and N is the number of failures of the system and T⁺ is the system replaced at the first failure point after the cumulative operating time exceeds T are studied. Furthermore, explicit expressions for the long-run average cost of the policies are derived. Optimal replacement policies for the deteriorating systems using partial product process is developed.