本文研究随机环境影响系统相依结构的情形下,系统可靠性的随机比较,文章采用连接函数表示系统的相依结构,研究不同随机环境因子下两个系统的象限序、弱多元失效率序、n中取k系统的寿命等的随机比较,并通过实际例子进行分析.
In this paper, we make a comparison of system reliability between two different random environments, considering the random environment only affects the dependence structure of system. Based on the dependence structure of system modeled by copulas, we mainly research, with the effect of random environments, the reliability indexes including orthant order, multivariate hazard rate order, convex order, and the lifetime of k-out-of-n system. Also, in this paper some practical examples are analyzed.