一种新型GO法操作符及其在多态系统中的应用

针对现有GO法在多态复杂系统可靠性分析中存在准确性和灵活性不高的问题，引入一种新的GO操作符—多态操作符。定义了联合状态矩阵和布尔矩阵两个概念，基于此给出多态操作符的运算规则和定量算式。以某供水系统和惯性导航系统为例，基于多态操作符建立其系统可靠性分析模型，并通过仿真计算获得系统动态可靠性分析的数据。结果证明，所提多态操作符在可靠性建模过程中对单元的状态维数和系统的复杂度不敏感，能够更好地模拟具有复杂输入输出逻辑关系的系统。

A New GO Operator and Its Application in Multi-state System

Some problems in the reliability analysis process of the multi-state system(MSS) are resolved. A new GO operator called multi-state operator is put forth to improve the accuracy and flexibility of GO methodology in building a reliability model for complex MSS. The joint state probability matrix and Boolean matrix are introduced, and then the operational rule and quantitative formula of the operator are given. The system reliability models of some water supply system and inertial navigation system (INS) are established based on the multi-state operator. Reliability analysis data were obtained through simulation. The results show that the multi-state operator is not sensitive to the state dimension of the unit and the complexity of the system in the process of reliability modeling, and also can better describe the complex logical relation between input and output.