基于最小路径和最小割集的复杂系统可靠度估计及性质  

Estimation and properties of reliability for complex system based on minimum path and minimal cut sets

作　　者：张伟[1] 张国志[2] 刘琳[3] 

机构地区：[1]哈尔滨师范大学数学科学学院,哈尔滨150025 [2]哈尔滨理工大学应用科学学院,哈尔滨150080 [3]佳木斯大学理学院,佳木斯154007

出　　处：《黑龙江大学自然科学学报》2013年第1期63-67,共5页Journal of Natural Science of Heilongjiang University

基　　金：黑龙江省教育厅科学技术研究项目(11551094)

摘　　要：根据复杂系统可靠度函数解析表达式及分布未知的独立子系统寿命数据(完全数据),给出系统可靠度估计,这种估计方法一直被广泛使用。但是,由于缺少一般复杂系统可靠度估计的解析表达式,使得其优良性质不便研究。通过在最小路径和最小割集矩阵已知的情况下表示的复杂系统可靠度的解析表达式,给出该系统可靠度的估计,并对估计的性质进行研究,证明估计的无偏性,给出估计的方差,并和其他估计进行了比较。Estimation of reliability for complex system is given according to the analytical expressxon ot rellabmty tor complex system and independent subsystem life data （complete data） of distribution unknown. This estimation method has been widely used. However, due to the lack of analytical expression of complex system reliability estimation, it＇ s hard to study its fine properties. Based on the analytical expression of reliability for the complex system which is described by he minimum path and minimal cut sets, the estimation of reliability for the complex system is given, some properties of the estimation are studied, the unbiased is proved and the variance of complex system reliability estimation is given and compared with other estimate.

关 键 词：可靠度 最小路径 最小割集 均值 方差 

分 类 号：O213.2[理学—概率论与数理统计]