Abstract

Aiming at the lack of unified evaluation index for the sensitivity analysis of fault tree of the system, the Analytic Hierarchy Process(AHP) is introduced into Fault Tree Analysis(FTA), and an FTA-AHP method is proposed to generate the comprehensive sensitivity evaluation index of the system. Firstly, the reliability analysis model of the system fault tree is established, and three indexes including probabilistic sensitivity, relative sensitivity and structural sensitivity, are calculated by using the traditional sensitivity analysis method. Then, combined with the analytic hierarchy process, the weight coefficients were determined according to the sensitivity analysis results above and the type of the minimum cut set, and the comprehensive sensitivity evaluation and analysis of the system fault tree were carried out. Finally, the case verification shows that compared with the traditional method, the comprehensive sensitivity ranking results have less repeatability, and the factors are considered comprehensively, which is convenient for decision makers to make judgment. The synthetic sensitivity evaluation model developed provides support for system reliability analysis.

Highlights

  • Analysis of comprehensive sensitivity evaluation of aircraft system based on FTA⁃AHP

  • Combined with the analytic hierarchy process, the weight coefficients were determined according to the sensitivity analysis results above and the type of the minimum cut set, and the comprehensive sensitivity evaluation and analysis of the system fault tree were carried out

  • The case verification shows that compared with the traditional method, the compre⁃ hensive sensitivity ranking results have less repeatability, and the factors are considered comprehensively, which is convenient for decision makers to make judgment

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Summary

Introduction

摘 要:针对系统的故障树灵敏度分析缺乏统一评价指标的问题,将层次分析法( analytic hierarchy process,AHP)引入故障树分析(fault tree analysis,FTA) 中,提出一种 FTA⁃AHP 方法生成系统综合灵 敏度评价指标。 建立了系统故障树可靠性分析模型,并利用传统的灵敏度分析方法计算概率灵敏度、 相对灵敏度及结构灵敏度 3 种指标。 结合层次分析法,依据灵敏度分析结果和最小割集种类确定权 重系数,开展系统故障树综合灵敏度评价分析。 经案例验证显示比较于传统方法,综合灵敏度排序结 果重复性更小,考虑因素全面,便于决策者做出判断。 综合灵敏度评价模型的生成为系统可靠性分析 提供支持。 式中: λ max 为判断矩阵 G 的最大特征根;RI 为判断 矩阵的平均随机一致性指标。 航空工程进展, 2018, 9(4) : 60⁃67 SONG Sufang, MA Yiyan, WANG Lu. Importance analysis of fault tree in probabilistic safety assessment and reliability analysis [ J] .

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