Study on Average Support Probability Oriented to Electromechanical Integration System

Abstract

The traditional model for average support probability often assumes that component life is exponentially distributed. But the different types of components in electromechanical integration system may follow different non-exponential distributions. In order to solve the problem, we formulate the random event of support failure as the event of system shutdown with service parts in short supply. We show system shutdown can be formulated as a Markov process and we develop a practical method for solving the problem of how converting non-exponential distribution to exponential. In the base of above, we develop an average support probability model for series system with arbitrary-life-distribution units. By simulating the operation of a non-exponential distribution system in Extendsim software, we compare the result with our model and prove the correctness of it.