系统功能结构最简式分析方法

为使空间故障树理论具有分析离散可靠性数据的能力，基于因素空间理论提出了一种分析系统功能结构最简式的方法，主要用于了解系统功能与元件功能之间的因果关系和内涵。给出了系统功能结构最简式方法的步骤和相关定义；使用一个系统的32条故障状态组成背景空间，分析其中蕴涵的系统功能与元件功能关系。同时随机选择23条故障状态组成了一个背景空间子集，得到蕴涵的功能关系。对比两种功能关系的最简结构式差异，根据布尔代数，得到元件之间的隐含功能关系为：元件Z3的功能与Z1或Z2或Z1+Z2的功能相同。从而得到关于系统可靠性的元件等效和替换关系。同时背景空间的两个子集最简结构式的和不等于原背景空间最简结构式，给出了两者相等的条件。

Simplest formula analysis method of system function structure

In order to make the space fault tree theory have the ability to analyze the discrete reliability data, a simplest formula analysis method of the system function structure based on the factor space theory is proposed. The method is mainly used to understand the causal relationship between the system function and the component function. The steps of the simplest formula analysis method of the system function structure and related definitions are given. The system is composed of 32 fault states, which can be used to analyze the relationship between system function and component function. At the same time, 23 fault states are random chosen to form an background relation subset, and the function relation is obtained. By comparing the difference between the two kinds of function relations, according to the Boolean algebra, we can get the implicit function relation between components: the function of component Z3 is the same as that of Z1 or Z2 or Z1+ Z2. Thus, the component equivalence and substitution relation of system reliability are obtained. At the same time, the sum of the minimal extraction paradigms of the two background relation subsets is not equal to that of original background relation, and the condition of equality is given.