analysis of discrete fix up limit time of two systems prediction

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.