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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 被引量：5

The Description and Computation of Reliability Based on Minimal Path and Minimal Cutset for the Class of Complex System
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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.
作者 张国志 杨振海 程维虎
机构地区 北京工业大学应用数理学院 哈尔滨理工大学信息科学与计算科学系
出处 《数理统计与管理》 CSSCI 北大核心 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)
关键词 复杂系统 最小路径 最小割集 可靠度 complex systems, minimal path, minimal cutset, reliability
分类号 O212 [理学—概率论与数理统计]
  • 相关文献

参考文献19

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二级参考文献12

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共引文献25

同被引文献23

  • 1杨意,潘中良.一种用二元判决图求网络可靠度的方法[J].华南师范大学学报（自然科学版）,2004,36(3):53-58. 被引量：3
  • 2GJB/Z299C-2006,电子设备可靠性预计手册[S].
  • 3]Nader Afshar, Gopal Chaudhuri,Kuolung Hu.Method and apparatus for prediction of system reliability [P].United States Patent: US6560584B1,2003.
  • 4GOPAL CHAUDHURI,KUOLUNG HU,NADER AFSHAR.Method and apparatus for prediction of system reliability:US,6560584B1[P].2003-05-06.
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  • 9Zhao Peixin, Zhang Xin. A Survey on Reliability Evaluation of Stochastic Flow Networks in Terms of Minimal Paths[C]// ICIECS'09. Wuhan, China: [s. n.], 2009.
  • 10Yeh Wei-Chang. An Improved Sum-of-disjoint-products Technique for the Symbolic Network Reliability Analysis with Known Minimal Paths[J]. Reliability Engineering and System Safety, 2007, 92(2): 260-268.

引证文献5

二级引证文献12

数理统计与管理
2009年 第5期

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