【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。更多还原

【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.更多还原