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计算机工程 ›› 2007, Vol. 33 ›› Issue (08): 17-19. doi: 10.3969/j.issn.1000-3428.2007.08.006

• 博士论文 • 上一篇    下一篇

基于随机Petri网的可修系统可用性模糊评价

原菊梅,侯朝桢,王小艺,吴 勤   

  1. (北京理工大学信息科学技术学院自动控制系,北京 100081)
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2007-04-20 发布日期:2007-04-20

Availability Fuzzy Evaluation Based on Stochastic Petri Net for Repairable System

YUAN Jumei, HOU Chaozhen, WANG Xiaoyi, WU Qin   

  1. (Department of Automatic Control, School of Information Science and Technology, Beijing Institute of Technology, Beijing 100081)
  • Received:1900-01-01 Revised:1900-01-01 Online:2007-04-20 Published:2007-04-20

摘要: 结合模糊集理论和随机Petri网理论提出了一种可修系统可用性建模与分析的新方法——模糊随机Petri网方法。随机Petri网的状态可达图同构于连续时间马尔可夫链,由可达图可得到系统的稳定状态概率方程组。利用模糊代数理论解该模糊方程组即可得到系统转移概率和各种性能指标的模糊数,通过解模糊可得到系统的可用性指标值。文章进行了实例分析并与已有文献作比较,举例进行分析求解,结果表明该方法是可行的。

关键词: 模糊随机Petri网, 可用性, 模糊评价

Abstract: A new availability modeling and analysis method——fuzzy stochastic Petri net(FSPN) method is proposed, which integrates fuzzy set theory and stochastic Petri net(SPN). The marking reachable graph of stochastic Petri net is homogeneous with the continuous-time Markov chains. The stability states probability equation can be obtained from the marking reachable graph. To solve the fuzzy equation with fuzzy arithmetic can obtain transfer probability and various performance indexes. An illustrative example is analyzed and compared with existing literature. The result shows that this method is feasible.

Key words: Fuzzy stochastic Petri net, Availability, Fuzzy evaluation