Gamma分布下混联系统综合重要度扩展及应用

doi:10.12005/orms.2021.0258

运筹与管理 ›› 2021, Vol. 30 ›› Issue (8): 139-146.DOI: 10.12005/orms.2021.0258

Gamma分布下混联系统综合重要度扩展及应用

高彦三¹, 陈立伟¹, 马婧²

1.郑州大学电气工程学院,河南郑州 450001;
2.郑州大学教育学院,河南郑州 450001

收稿日期:2019-12-20 出版日期:2021-08-25
通讯作者: 马婧(1983-),女,河南省郑州人,副教授,研究方向: 教育技术学、统计学。
作者简介:高彦三(1991-),男,河南省新郑人,硕士研究生,研究方向:系统重要度。
基金资助:
河南省科技攻关(132102210560);国家自然科学基金青年项目(61807031)

Extension of Integrated Importance Measure in Compound Systems under Gamma Distribution

GAO Yan-san¹, CHEN Li-wei¹, MA Jing²

1. School of Electrical Engineering, Zhengzhou University, Zhengzhou 450001, China;
2. School of Education, Zhengzhou University, Zhengzhou 450001, China

Received:2019-12-20 Online:2021-08-25

摘要/Abstract

摘要： 综合重要度分析不仅可以有效的识别系统的薄弱环节,还可以合理分配资源,最大化整个系统的正常运行时间。本文主要对劣化系统的组(部)件进行综合重要度分析,假设组(部)件寿命服从Gamma分布,推导出并-串联和串-并联两种典型混联系统综合重要度的等价计算公式,同时给出物理意义。以波音737客机的液压能源混联系统为例,计算各组(部)件的综合重要度以及仿真案例分析,最后案例分析结果表明:在Gamma分布条件下的混联系统中,组(部)件的综合重要度与失效率和尺度参数成正相关,和形状参数成负相关关系。

关键词: 可靠性, 重要度, Gamma分布, 失效率

Abstract: Integrated importance measure(IIM)analysis can not only effectively identify the weak links of the system, but also allocate resources reasonably and maximize the normal running time of the whole system. In this paper, the IIM of the component of the two-state deterioration system is analyzed. Assuming that the life of the component obeys the gamma distribution, the equivalent formulas for calculating the IIM of two typical hybrid systems, parallel-series and series-parallel are derived, and the physical meaning is given at the same time. Taking the hydraulic energy hybrid system of Boeing 737 as an example, the IIM of each component and thesimulation case analysis are calculated. The final case analysis results show that in the two-state hybrid with gamma distribution, the IIM of the component is positively correlated with the failure rate and the scale parameter, and negatively correlated with the shape parameter.

Key words: reliability, importance measure, gamma distribution, failure rate

中图分类号:

N945

高彦三, 陈立伟, 马婧. Gamma分布下混联系统综合重要度扩展及应用[J]. 运筹与管理, 2021, 30(8): 139-146.

GAO Yan-san, CHEN Li-wei, MA Jing. Extension of Integrated Importance Measure in Compound Systems under Gamma Distribution[J]. Operations Research and Management Science, 2021, 30(8): 139-146.

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Gamma分布下混联系统综合重要度扩展及应用

Extension of Integrated Importance Measure in Compound Systems under Gamma Distribution

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