Optimization Model for System Redundant Reliability Based on Dynamic Programming and its Application in Ball Screw Actuator

In some products or systems, the redundant parts, components or subsystems must be configured for their high reliability, in addition to the high reliability of parts and components. But the systems would pay more "cost" of resources such as cost, weight or volume, than those without redundancy of parts, components and subsystems. Therefore, the study of redundant reliability optimization for the system would be carried out. This paper presents several models for basic component structures of reliability based on the block diagram. According to the block diagram model for series-parallel reliability of components and subsystems, a mathematical model and its optimization method for system redundant reliability optimization are established, which are based on dynamic programming. Then the ball screw actuator system was taken as an example, and the redundant reliability of its parts or subsystems was calculated with the dynamic programming method based on the control sequence method. And the optimized result of the ball screw actuator system was gotten with the system constraints conditions. The redundancy of components at all levels is obtained with the greatest reliability.