计算机工程与应用 ›› 2012, Vol. 48 ›› Issue (9): 51-53.

• 研究、探讨 • 上一篇    下一篇

连接函数下部件相依可修系统的可靠性分析

姜 琦1,2,钟 波1   

  1. 1.重庆大学 数学与统计学院,重庆 400045
    2.石河子大学 师范学院 数学系,新疆 石河子 832003
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2012-03-21 发布日期:2012-04-11

Reliability analysis of components dependency repairable system under connect function

JIANG Qi1,2, ZHONG Bo1   

  1. 1.College of Mathematics and Statistics, Chongqing University, Chongqing 400045, China
    2.Department of Mathematics, Normal College, Shihezi University, Shihezi, Xinjiang 832003, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2012-03-21 Published:2012-04-11

摘要: 将Copula函数应用到部件相依可修系统的可靠性分析中,刻画出两相依部件组成的串联系统的寿命分布,实现单部件可修系统的虚拟化;利用增加变量法将虚拟单部件可修系统转化为马尔可夫可修系统,计算出系统的可靠性指标。通过算例验证了所讨论思路的有效性。

关键词: Copula函数, 可靠性, 相依

Abstract: Apply the Copula function to analyzing the reliability of the repairable system with dependent components and characterize the lifetime distribution of the series system which is composed of two dependent components, and realize the single-unit repairable system virtualization. The virtual single-unit repairable system can be transformed into Markov repairable system by adding variables, and ultimately the reliability of the system is calculated. It shows the effectiveness of discussion threads through an example.

Key words: Copula functions, reliability, dependency