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鉴于组成系统单元的多状态单调关联性特征,将多元离散函数理论引入描述系统状态结构函数,发展了控制状态等价类主导状态向量的状态等价类主控边界点的逻辑方法,推导了多态单调关联系统的状态结构函数、可靠性和期望状态表达式;面向顾客的需求偏好,将负效用函数嵌入系统平均性能效用模型;鉴于元件状态引起的计算复杂性,提出了集合运算的德摩根律法和新型的框图式算法,简化了系统可靠度的表达式。结合某型航空发动机的简化演算,验证了主导等价类向量方法和框图算法的合理性与有效性,为工程系统的可靠性设计和可靠性管理提供理论依据。
In view of the multistate monotonic relevancy characteristics of the system elements, by introducing the theory of multivariate discrete functions into describing the state structure function of the system, a logic method is developed to control the state equivalence dominating boundary point of the state dominating state vector. State structure function, reliability and expectation state expression of state monotonic relation system; customer-oriented demand preference, the negative utility function embedded in the average performance utility model of the system; In view of the computational complexity caused by component state, Law and new block diagram algorithms simplify the expression of system reliability. Combined with the simplified calculation of a certain type of aeroengine, the rationality and validity of the leading equivalent class vector and block diagram algorithms are verified, which provides a theoretical basis for the reliability design and reliability management of the engineering system.