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计算机工程 ›› 2007, Vol. 33 ›› Issue (09): 19-21.

• 博士论文 • 上一篇    下一篇

基于补充变量的非马尔可夫随机Petri网及其应用

原菊梅,侯朝桢,王小艺,吴 勤   

  1. (北京理工大学信息科学与技术学院,北京 100081)
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2007-05-05 发布日期:2007-05-05

Non-markovian Stochastic Petri Net Based on Supplementary Variables and Its Applications

YUAN Jumei, HOU Chaozhen, WANG Xiaoyi, WU Qin   

  1. (School of Information Science and Technology, Beijing Institute of Technology, Beijing 100081)
  • Received:1900-01-01 Revised:1900-01-01 Online:2007-05-05 Published:2007-05-05

摘要: 针对非马尔可夫随机Petri网提出了一种补充变量引入方法,使其适合于系统共享维修资源情况下的可靠性分析。研究了基于补充变量的非马尔可夫随机Petri网的分析方法,以一并行系统为例说明该方法的建模过程、求解方法以及可靠性指标表达式,并以指数分布为例进行了方法验证,验证表明该方法是可行性的。

关键词: 非马尔可夫随机Petri网, 补充变量, 可靠性分析

Abstract: A method of supplementary variables for non-markovian stochastic Petri net is proposed, which fits for system that shares maintain resource reliability analysis. It studies analysis method of non-markovian stochastic Petri net based on supplementary variables. It takes a parallel system as an example to illustrate the new method of modeling process, solution method and gives expression of reliability indexes, and validates the feasibility of the method using exponential distribution.

Key words: Non-markovian stochastic Petri net, Supplementary variables, Reliability analysis

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