基于最小路径与最小割集的复杂系统可靠性的描述与计算  

The Description and Computation of Reliability Based on Minimal Path and Minimal Cutset for the Class of Complex System

作　　者：张国志[1,2] 杨振海[1] 程维虎[1] 

机构地区：[1]北京工业大学应用数理学院,北京100124 [2]哈尔滨理工大学信息科学与计算科学系,黑龙江哈尔滨150080

出　　处：《数理统计与管理》2009年第5期811-825,共15页Journal of Applied Statistics and Management

基　　金：北京市自然科学基金(编号:1062001)

摘　　要：本文讨论基于最小路径和最小割集的复杂系统可靠性的描述与计算问题。引入最小路径矩阵与最小割集矩阵的概念,定义向量间的几种运算,并利用所定义运算给出由子系统可靠度精确表示系统可靠度的解析表达及计算方法。该解析表达非常重要,是复杂系统可靠性理论研究与实际应用的有效工具。In this paper, we discuss the problem about description and calculation of reliability based on minimal path and minimal cutset for the class of complex system. We introduce the minimal path matrix and minimal cutset matrix, define vector operations, exactly expressive of reliability of the complex system by those of the sub-system, and give it＇s calculation. The analytic expression is very important and is an efficent tool for researching problems about reliability of complex systems.

关 键 词：复杂系统 最小路径 最小割集 可靠度 

分 类 号：O212[理学—概率论与数理统计]