独立子树等效时变可用度分析

在复杂系统可用度分析中,采用深度和广度遍历算法将复杂动态故障树分解为独立子树,推导和证明了独立子树等效时变可用度参数模型,建立了各独立子树同构的马尔可夫状态转移链.通过求解降维微分方程获得故障子树的时变可用度参数,采用由下至上的递归处理算法快速实现复杂系统的可用性定量分析,既解决了复杂系统可用度计算的"组合爆炸"问题,又通过考虑时变参数保证了可用度解算的精度.实例分析表明,采用独立子树等效时变可用度分析方法在有效的分解下,其误差可以很小.

Equivalent time-variable availability analysis based on individual sub fault tree

With depth-first left-most ergonic algorithm, the complex dynamic fault tree can be decomposed into several ISFT (individual sub fault tree) in availability analysis of complex system. In order to calculate its availability in time-variable filed, the equivalent time-variable availability parameters are presented and proved to ISFT. Transferring ISFT into corresponding Markov chain, the differential equation of sub-Markov chain in falling dimension can be calculated with time-variable availability parameters easily. From bottom to up, the availability analysis for complex system can be realized with recursion algorithm, which not only solve the problem that the computing enhances exponential with the number of states increases in availability calculation of complex system but also improve the calculation precision with time-variable parameters. Application indicates that the equivalent time-variable availability analysis based on ISFT is content under the effective decomposition.