The Preventive Maintenance and Inspection Policy for the System with Two Types of Failures

Abstract

In this paper, the optimal inspection and preventive maintenance policy are investigated for a system with two types of failures, one type of failure is repairable, and the other is unrepairable. When the working time of the system reaches time T, the system will be detected, if a repairable failure is found then a failure repair will be carried out, and if an unrepairable failure is found then the system will be replaced. Otherwise, a preventive repair will be carried out. The system will be replaced by a new and identical one at the time following the Nth repairable failure. We look for a bivariate optimal policy which makes the long-run expected profit per unit time maximization. The long-run average profit per unit time is obtained explicitly. Finally, we compute numerically a bivariate approximate optimal policy.