AN OPITMAL REPLACEMENT PROBLEM FOR A SYSTEM CONSISTING OF SIMILAR COMPONENTS USING TWO MONOTONE PROCESSES

Dr. B. Venkata Ramudu

Volume : VIII, Issue : II, February - 2019

AN OPITMAL REPLACEMENT PROBLEM FOR A SYSTEM CONSISTING OF SIMILAR COMPONENTS USING TWO MONOTONE PROCESSES

Dr. B. Venkata Ramudu

Abstract :

The present paper studies a cold standby repairable system consisting of two identical components namely component 1, component 2 and one repairman is studied. Assume that each component after repair is not �as good as new� and also the successive working times form a decreasing -series process, the successive repair time�s form an increasing geometric process and both the processes are exposing to exponential failure law. Under these assumptions we study an optimal replacement policy N in which we replace the system when the number of failures of component 1 reaches N. It can be determined that an optimal repair replacement policy N* such that the long run average cost per unit time is minimized. It can also be derived an explicit expression of the long-run average cost and the corresponding optimal replacement policy N* can be determined analytically. Numerical results are provided to support the theoretical results.