Analysis of Discrete Fix Up Limit Time of Two Systems Prediction

Abstract

This paper studies a discrete fix-up limit policy for two systems. Because sometimes, a failed system cannot be completely fixed at the optimal fix-up limit time due to some logistic issues. This paper provides a chance to complete fixing up a failed system within a discrete fix-up limit time LT (L=1,2,3…) for a fixed T. The explicit expression of the expected long-term cost per unit time is derived for the two systems based on the assumptions of the systems. Finally, a numerical example is given to illustrate the theoretical results of the proposed model.