相关性失效下二终端网络系统可靠性评估模型  

Reliability Evaluation Model of Two-Terminal Network System Under Correlated Failure

作　　者：邓川 唐家银[1] 谭启涛 Deng Chuan;Tang Jiayin;Tan Qitao(College of Mathematics,Southwest Jiaotong University,Chengdu 611756,China)

机构地区：[1]西南交通大学数学学院,成都611756

出　　处：《统计与决策》2019年第1期5-9,共5页Statistics & Decision

基　　金：中央高校基本科研业务费专项资金资助项目(2682017ZDPY13);中国铁路总公司科技研究开发计划项目(2017J003-H);四川省统计科学研究计划项目(2016SC50);西南交通大学本科教育教学研究与改革项目(1804139;1801013)

摘　　要：文章引入余因子算法和改进的二元决策图(BDD, Binary Decision Diaram)算法,求得不交化的弧序列。系统的可靠度就是每个弧序列的可靠度之和。考虑弧序列之间相关性干涉影响,借助Copula函数和差分运算,进行相关干涉下二终端网络系统问题的可靠度建模。在评估节点不可靠的情况时,将节点视为弧,并进行相应的统计建模,从而实现计算简化。This paper introduces cofactor algorithm and the modified Binary Decision Diagram(BDD) arithmetic to obtain the disjoint arc sequence. The reliability of the system is the sum of the reliability of each arc sequence. Considering the influence of correlation interference between arc sequences, the paper carries out the reliability modeling of two-terminal network system under correlation interference with the help of copula function and differential operation. In the case of assessing unreliable nodes,the paper treats the nodes as arcs and performs the corresponding statistical modeling so as to achieve the computational simplification.

关 键 词：COPULA 相关性失效 二终端 网络系统 可靠性 

分 类 号：O213.2[理学—概率论与数理统计]