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Regression analysis of the structure function for reliability evaluation of continuous-state system

机译:连续状态系统可靠性评估的结构函数回归分析

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Technical systems are designed to perform an intended task with an admissible range of efficiency. According to this idea, it is permissible that the system runs among different levels of performance, in addition to complete failure and the perfect functioning one. As a consequence, reliability theory has evolved from binary-state systems to the most general case of continuous-state system, in which the state of the system changes over time through some interval on the real number line. In this context, obtaining an expression for the structure function becomes difficult, compared to the discrete case, with difficulty increasing as the number of components of the system increases. In this work, we propose a method to build a structure function for a continuum system by using multivariate nonparametric regression techniques, in which certain analytical restrictions on the variable of interest must be taken into account. Once the structure function is obtained, some reliability indices of the system are estimated. We illustrate our method via several numerical examples.
机译:技术系统旨在以可接受的效率范围执行预期的任务。根据这一思想,除了完全故障和功能完善之外,还允许系统在不同的性能级别之间运行。结果,可靠性理论已经从二进制状态系统发展到连续状态系统的最一般情况,在连续状态系统中,系统状态随时间变化,在实数线上经过一定间隔。在这种情况下,与离散情况相比,获得结构函数的表达式变得困难,随着系统组件数量的增加,难度也随之增加。在这项工作中,我们提出了一种通过使用多元非参数回归技术为连续体系统构建结构函数的方法,其中必须考虑对目标变量的某些分析限制。一旦获得结构函数,就可以估计系统的一些可靠性指标。我们通过几个数值示例来说明我们的方法。

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