Comparison of Optimal Replacement Times in Repairable Systems Based on Failure Rate Functions and Probability of Minimal Repair Times

Consider a repairable system where two types of failures occur with different rate functions. The choice of minimal repair or replacement depends on the types of failures. The length of replacement cycle becomes optimal in terms of the cost function and the concept of discounted cost. In this paper، for two repairable systems the optimal replacement cycles are compared based on failure rate functions and probability of minimal repairs. Based on our results، one can make a decision for the period of replacement times. In order to illustrate the obtained results، numerical examples and simulation study are given.