THE PROBABILISTIC FORMS OF CHARACTERISTICS OF DIFFERENT REDUNDANT SYSTEMS AND THEIR APPLICATIONS

Abstract

This chapter deals with three different policies for preventive maintenance have been considered for the standby duplex system with preventive maintenance and repair. The life time of each unit, the prepare time ,the inspection time and the time from inspection beginning to inspection completion is a random variable and has an arbitrary distribution function. The system is analyzed by the semi-Markov process technique ,to solving the equations by using Laplace transformation for integral equations to find mean life time for each policy, then we conclude that it is better to use preventive maintenance under policy III, because the mean life time of the system under this policy is greater than the mean life times for the system under policies I and II. Finally the mean time for the system with repair and preventive maintenance is greater than the mean time for the system with repair only can be proved.