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A second-order uncertainty model for calculation of the interval system reliability

机译:用于区间系统可靠性计算的二阶不确定性模型

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A second-order uncertainty model of the system reliability is studied in the paper. This model takes into account the fact that the reliability description of the system components is unreliable itself and has some degree of belief to it. It is assumed that there is no information about probability distributions on both first and second levels of the proposed second-order uncertainty model, the available information about the reliability of the system components is heterogeneous, and there is no information about independence of the system components. Algorithms for computing beliefs to the system reliability measures and for reducing the second-order model to the first-order one are proposed. These algorithms are based on the solution of a set of linear programming problems. Numerical examples illustrate the model.
机译:研究了系统可靠性的二阶不确定性模型。该模型考虑了以下事实:系统组件的可靠性描述本身是不可靠的,并且对此有一定程度的把握。假定在拟议的二阶不确定性模型的第一级和第二级上都没有关于概率分布的信息,关于系统组件可靠性的可用信息是异构的,并且没有关于系统组件独立性的信息。提出了计算对系统可靠性度量的置信度以及将二阶模型简化为一阶模型的算法。这些算法基于一组线性规划问题的解决方案。数值示例说明了该模型。

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