关键词: 多态制造系统, 通用生成函数, 最大熵概率密度函数, 状态熵, 可靠性分析

Abstract: Aiming at the status diversity of manufacturing system and the condition restriction of traditional reliability analysis,a multi-state manufacturing system reliability analysis method based on state entropy was researched,which used hierarchy divided approach to analyze the multi-state manufacturing system performance.A multi-state manufacturing system entropy state mathematical model was established based on information entropy theory.The multi-state manufacturing system reliability analysis method by combining Universal Generating Function (UGF) with Maximum Entropy Principle (MEP) was proposed,and the steps to solve the maximum entropy probability density function was given.Through Legendre transformation and Newton tangent method,Lagrange multipliers in maximum entropy density function were obtained,and the availability of multi-state manufacturing system was discussed.A case was taken as an example and in comparison with the traditional reliability analysis method to verify the rationality and the effectiveness of the proposed model and the analysis method.

Key words: multi-state manufacturing system, universal generating function, maximum entropy density function, state entropy, reliability analysis