Optimizing the repair-time limit replacement schedule with discounting and imperfect repair

摘要

In this paper,we consider a repair-time limit replacement problem with imperfect repair and develop a graphical method to determine the optimal repair-time limit which minimizes the expected total discounted cost over an infinite time horizon.The method proposed can be applied to an estimation problem of the optimal repair-time limit from the empirical repair-time data.Then,the modified scaled total time on test transform of the underlying repair-time distribution function is used.Numerical examples are devoted to examine asymptotic properties of the nonparametric estimator for the optimal repair-time limit.