多运行水平聚合马尔可夫可修系统可靠性分析

对多运行水平聚合马尔可夫可修系统模型,进行了进一步的可靠性分析,对已有的结论进行了改进,使之更符合系统实际运行的规律及特征.借助生物药理学中的离子通道理论、Laplace变换方法以及矩阵方法得到了表征多运行水平可修系统可靠性的几个关键指标:系统在各个运行水平逗留时间的概率密度函数、平均逗留时间以及在各个运行水平的平均访问次数.最后用数值算例对所得结论进行了模拟实现. 

Analysis of Reliability for Aggregated Markov Repairable System with Multi-Working Levels

To improve and perfect the previous reliability analysis for aggregated Markov repairable systems with multi-working levels, the further study has been done in this research. By using the ion-channel modeling theory, Laplace transformation and matrix method, the probability density functions within sojourning time at each working lever, the mean sojourning time and the mean numbers that the system visits distinct working levels could be obtained. A numerical example was presented to show the results obtained in this research. It could be found that the obtained results are more realistic to reflect the evolution of the multi-working levels systems, compared to the results from previous work.