›› 2012, Vol. 25 ›› Issue (5): 123-.

• 论文 • 上一篇    下一篇

n-n-1:G系统的模糊稳态可靠度

郭洋洋,宋月,李刚平   

  1. (西安电子科技大学 理学院,陕西 西安710071)
  • 出版日期:2012-05-15 发布日期:2012-05-24
  • 作者简介:郭洋洋(1987—),男,硕士研究生。研究方向:可靠性分析。

n-n-1:Fuzzy Steady-state Reliability of G System

 GUO Yang-Yang, SONG Yue, LI Gang-Ping   

  1. (School of Science,Xidian University,Xi'an 710071,China)
  • Online:2012-05-15 Published:2012-05-24

摘要:

经典马尔可夫模型中故障率和修复率为常数的假定不一定符合实际,比如受气候环境等因素影响部件的故障率和修复率,而用模糊数来表示更具有实际意义。文中在模糊负指数分布的假定下,应用模糊Markov模型及模糊概率理论,并结合模糊数学理论分析n-n-1:G系统,获得了该系统的稳态平衡方程,用割集的形式给出了各状态的可靠度,最终通过去模糊求出系统的稳态可用度。

关键词: 可修系统, 模糊故障率, 模糊修复率, 模糊Markov模型, 稳态可用度

Abstract:

The constant assumption of failure rate and repair rate on Classical Markov model does not accord with the reality,such as the failure rate and repair rate influenced by factors like climate or environment.It is of greater practical significance to use fuzzy number to represent the failure rate and the repair rate.In this paper,A fuzzy Markov modeling method is put forward and an algorithm for calculating the fuzzy steady maintainability equation of n-n-1:G system is established using fuzzy probability theory and fuzzy mathematics theory analysis.The reliability of each state are given in the form of cut set,and finally the steady-state system availability is worked out by remove fuzzy.

Key words: repairable system;fuzzy failure rate;fuzzy repair rate;fuzzy markov model;steady state availability

中图分类号: 

  • TP301.6