Optimal replacement policy for a two-component cold standby system with repair priority

Abstract

In this paper, a cold standby repairable system consisting of two dissimilar components and one repairman is examined. It was assumed that both Component 1 and Component 2, were not as good as new after repair, and Component 1 had repair priority. Under these assumptions, using the geometric process repair model, a discrete replacement policy N under which the system is replaced when the number of failures of Component 1 reaches N is considered. The problem was to determine an optimal policy N^∗ so that the long-run average loss per unit time L(N) of the system was minimized. The expression L(N) was explicitly derived, and the corresponding optimal policy N^∗ can be determined by minimizing L(N) with respect to N. A numerical example and the associated MATLAB computer program are given to illustrate the model—s applicability. Finally, conclusions are drawn for this study.

Keywords

geometric process priority discrete replacement policy renewal reward theorem convolution

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