BIVARIATE OPTIMAL REPLACEMENT POLICY FOR A DETERIORATING REPAIRABLE SYSTEM USING ARITHEMETICO- GEOMETRIC PROCESS (AGP)
Journal Title: PARIPEX-Indian Journal of Research - Year 2019, Vol 8, Issue 5
Abstract
This paper studies an optimal bivariate replacement policy for a deteriorating repairable system by assuming that the successive operating times of the system form - a decreasing Arithmetico-Geometric Process (AGP) while the successive repair times of the system form - an increasing AGP. Under these assumptions we study an optimal replacement policy (T N) for a cold standby repairable system under which we replace the system when the operating time of component 1 reaches T and the number of repairs of component 1 reaches N whichever occurs first. Under some conditions, an explicit expression C(N) for the long run average cost per unit time of the system is derived and determined corresponding optimal replacement N* such that the long run average cost is minimum. Finally numerical results are provided to highlight the theoretical results.
Authors and Affiliations
Dr. B. Venkata Ramudu, P. Adisekhara Reddy
Keywords
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