不交树:对网络系统和故障树进行定量分析的新方法

计算物理 ›› 1986, Vol. 3 ›› Issue (4): 401-408.

不交树:对网络系统和故障树进行定量分析的新方法

许汉铭

原子能科学研究院

收稿日期:1985-10-09 出版日期:1986-12-25 发布日期:1986-12-25

DISJOINT TREE-A NEW APPROACH FOR QUANTITATIVE ANALYSES OF NETWORK SYSTEM AND FAULT TREE

Xu Han-ming

Scientific Research Institute of Atomic Enerygy

Received:1985-10-09 Online:1986-12-25 Published:1986-12-25

摘要/Abstract

摘要： 本文提出了一个对事件集建造不交树的方法。这个方法中通过分离独立项和提取公因子使割集(路集)的项数和阶次迅速下降。所建成的不交树中所有分支互不相交,因此可由直接计算求得顶事件的发生概率。给出了应用例子。讨论了向多态系统的推广以及近似计算方法。

关键词: 故障树, 网络系统, 定量分析, 不交树

Abstract: An approach to construct a disjoint tree for an event set is presented, in which the total number and order of terms of a cut set (path set) are decreased rapidly through the separation of independent terms and the collection of common factors. All of the branches of the disjoint tree are disjoint to one another, consequently,the occurrence probability of the top event can be obtained straightforwords. Application examples are given. The extension of the approach to the multistate systems and the approximate calculation method are discussed.

Key words: faule tree netiwork system, quantitative analysis, disjoint tree

许汉铭. 不交树:对网络系统和故障树进行定量分析的新方法[J]. 计算物理, 1986, 3(4): 401-408.

Xu Han-ming. DISJOINT TREE-A NEW APPROACH FOR QUANTITATIVE ANALYSES OF NETWORK SYSTEM AND FAULT TREE[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1986, 3(4): 401-408.