二态系统重要度理论是复杂系统重要度理论的基础,对于复杂系统可靠性分析具有重要意义。文章在对传统二态系统重要度计算方法研究基础上,针对二态系统提出一种组(部)件综合重要度计算方法,通过定理证明了二态系统组(部)件综合重要度的物理意义,探讨了二态系统组(部)件综合重要度计算方法与概率重要度、结构重要度、关键重要度、△-重要度和Improvement Potential重要度计算方法的关联关系。基于串联和并联系统,分别给出了串联和并联系统的二态系统组(部)件综合重要度计算公式及相关的性质。以二态混联系统为算例,依据系统中串并联关系计算了各组(部)件的综合重要度值,并与其它重要度计算结果进行了比较分析,分析结果验证了二态系统组(部)件综合重要度计算方法及物理意义的正确性和有效性。
Aim. The introduction of the full paper reviews a number of papers on importance measures in the open literature and points out what we believe to be their shortcomings; and efficient computation method mentioned in the title. Section 1 then, it proposes what we believe to be a new explains how we established our IM (Integrated importance Measures) ; its core consists of: (1) we brief the computation methods and meanings of classic impor- tance measures ; (2) we put forward IM for binary coherent systems to describe the mathematical expectation of the system reliability decrease based on current component unreliabilities; (3) we analyze the computation relation- ships between IM and classic importance measures. Section 2 discusses the properties of IM; its core consists of: ( 1 ) we prove mathematically the calculation method and physical meaning of IM for typical series system; (2) we prove mathematically the calculation method and physical meaning of IM for typical parallel system. Section 3 does the numerical study of a hybrid system; the results, given in Tables 1, and their analysis show preliminaril by considering the component reliabilities and failure rates together, our IM is indeed efficient for component tance analysis in binary coherent system. y that, importance analysis in binary coherent system.