OPTIMAL REPLACEMENT POLICIES BASED ON NUMBER OF DOWN TIMES FOR COLD STANDBY SYSTEM WHEN THE LIFETIME AND THE REPAIR TIME ARE DEPENDENT

David D.  Hanagal; Rupali A.  Kanade

David D. Hanagal Department of Statistics, University of Pune, Pune-411007, India
Rupali A. Kanade Department of Statistics, University of Pune, Pune-411007, India.

Keywords: Cold standby system, Freund's bivariate exponential Model, Number of down times, Priority in use, Renewal reward theorem, Repair rate, Replacement policy

Abstract

The purpose of this article is to present optimal replacement policies for a cold standby system consisting of two components and one repairman. By using the bivariate exponential model of Freund (1961) for the life time of one component and the repair time of another component, we developed methods for obtaining optimal number of down time in such a way that the long run expected reward per unit time is maximized. The results are illustrated with the help of numerical example and simulation study.

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