Optimal maintenance policies for several imperfect repair models

Three new maintenance models, two imperfect preventive maintenance models and a cost limit (imperfect) repair model are proposed. In these models the imperfect maintenance is treated in such a way that after maintenance the lifetime of a unit will be decreased to a fraction of the one immediately preceding it, and the imperfect repair time as well as cost increases as the number of imperfect repairs increases. The long-run expected maintenance cost rates and corresponding asymptotic average availabilities for these three models are derived. The optimum maintenance policies subject to maintenance time are discussed. Some constraint optimization problems related to maintenance cost rate and availability are presented. Finally, numerical examples are given.