二元性能相关多阶段退化系统可靠性建模与分析

doi:10.12005/orms.2022.0085

运筹与管理 ›› 2022, Vol. 31 ›› Issue (3): 105-111.DOI: 10.12005/orms.2022.0085

二元性能相关多阶段退化系统可靠性建模与分析

秦红志, 孙明娟, 王伟伟, 董庆来

延安大学数学与计算机科学学院,陕西延安 716000

收稿日期:2020-03-12 出版日期:2022-03-25 发布日期:2022-04-12
通讯作者: 孙明娟(1981-)女,讲师,山东蓬莱人,硕士。
作者简介:秦红志(1995-),男,内蒙古丰镇人,硕士研究生。
基金资助:
国家自然科学基金资助项目(71961030);陕西省教育厅专项科研计划资助项目(18JK0877)

Reliability Modeling and Analysis of Multi-Stage Bivariate Degradation Process Systems

QIN Hong-zhi, SUN Ming-juan, WANG Wei-wei, DONG Qin-lai

Yanan University, College of Mathematics and Computer Science, Yanan 716000, China

Received:2020-03-12 Online:2022-03-25 Published:2022-04-12

摘要/Abstract

摘要： 针对具有两个相关性能指标的随机退化系统,考虑退化过程的多阶段特征,采用Copula函数描述性能指标间的相关关系,建立多阶段二元相关Wiener过程退化模型。给出系统可靠度的解析表达式,提出蒙特卡洛方法模拟系统可靠度的流程步骤,得到系统可靠度的数值解,并验证了解析解的正确性。最后,通过数值算例验证模型的有效性。

Abstract: In the paper, a multi-stage degradation system is considered, in which the Copula function is introduced to describe the correlation between two performance characteristics and Wiener processes are adopted to describe the degradation process of each performance characteristic in each stage. Explicit expression of the system reliability is given, and a numerical simulation algorithm based on Monte Carlo simulation is proposed, which verifies the correctness of the analytical results. Finally, some numerical examples are given to show the effectiveness of the proposed model.

Key words: multi-stage degradation process, reliability, copula function, wiener process

中图分类号:

O213.2

秦红志, 孙明娟, 王伟伟, 董庆来. 二元性能相关多阶段退化系统可靠性建模与分析[J]. 运筹与管理, 2022, 31(3): 105-111.

QIN Hong-zhi, SUN Ming-juan, WANG Wei-wei, DONG Qin-lai. Reliability Modeling and Analysis of Multi-Stage Bivariate Degradation Process Systems[J]. Operations Research and Management Science, 2022, 31(3): 105-111.

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二元性能相关多阶段退化系统可靠性建模与分析

Reliability Modeling and Analysis of Multi-Stage Bivariate Degradation Process Systems

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