考虑失效相关性的系统可靠性分配方法

doi:10.3969/j.issn.1007-7375.2023.06.014

工业工程 ›› 2023, Vol. 26 ›› Issue (6): 129-137.doi: 10.3969/j.issn.1007-7375.2023.06.014

考虑失效相关性的系统可靠性分配方法

董秋仙, 徐闽军, 刘汝良, 刘君, 夏辰光

南昌大学数学与计算机学院，江西南昌 330031

收稿日期:2022-11-23 发布日期:2024-01-09
通讯作者: 徐闽军(1997-),男,江西省人,硕士研究生,主要研究方向为系统可靠性分配。Email:2549519124@qq.com E-mail:2549519124@qq.com
作者简介:董秋仙(1972-),女,江西省人,教授,博士,主要研究方向为可靠性数学
基金资助:
国家自然科学基金面上资助项目 (72071099)

A System Reliability Allocation Method Considering Failure Dependencies

DONG Qiuxian, XU Minjun, LIU Ruliang, LIU Jun, XIA Chenguang

School of Mathematics and Computer, Nanchang University, Nanchang 330031, China

Received:2022-11-23 Published:2024-01-09

摘要/Abstract

摘要： 为弥补部件相关失效对系统可靠性分配结果的影响，提出一种新的可靠性分配方法。将影响系统可靠性分配的因素分为复杂度、技术水平、环境条件、可维修性、运行时间和成本敏感性，用于确定组成部件可靠性分配权重的大小。其中，前3个因素为客观因素，对其进行定量描述并确定其大小；后3个因素为主观因素，通过使用LNNWMM算子刻画这三者的综合得分。通过Copula函数建立系统可靠性分配模型，并以THP6513重型数控卧式铣镗床主轴系统为例，分别对部件相关失效和独立失效的子系统可靠性分配结果进行对比。结果表明，考虑失效相关性的6个子系统可靠性分别为0.9720、0.9835、0.9829、0.9778、0.9819和0.9798，均略低于部件独立失效的各子系统的可靠性，能降低产品的制造和维修成本。

关键词: 可靠性分配, 复杂度, 语言中性数加权平均算子 (LNNWMM), Copula函数

Abstract: In order to supplement the influence of component-related failures on the reliability allocation results of a system, a new reliability allocation method is proposed. The factors affecting system reliability allocation are divided into complexity, technical levels, environmental conditions, maintainability, operating time, and cost sensitivity, which are used to determine the weights of component reliability allocation. Among them, the first three factors are regarded as objective factors, quantitatively described and determined their values; while the last three factors are regarded as subjective factors, and their comprehensive scores are characterized by using an LNNWMM operator. A system reliability allocation model is established by the Copula function. A THP6513 heavy-duty CNC horizontal milling and boring machine spindle system is taken as an example to compare the reliability distribution results of subsystems with component-related failures and independent failures. Results show that the reliability of the six subsystems considering the failure correlation is 0.9720, 0.9835, 0.9829, 0.9778, 0.9819 and 0.9798, respectively, which are slightly lower than the reliability of each subsystem with independent component failures. It can reduce the manufacturing and maintenance costs of products.

Key words: reliability allocation, complexity, LNNWMM (linguistic neutrosophic numbers weight Muirhead mean operator), Copula function

中图分类号:

TB114

董秋仙, 徐闽军, 刘汝良, 刘君, 夏辰光. 考虑失效相关性的系统可靠性分配方法[J]. 工业工程, 2023, 26(6): 129-137.

DONG Qiuxian, XU Minjun, LIU Ruliang, LIU Jun, XIA Chenguang. A System Reliability Allocation Method Considering Failure Dependencies[J]. Industrial Engineering Journal, 2023, 26(6): 129-137.

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考虑失效相关性的系统可靠性分配方法

A System Reliability Allocation Method Considering Failure Dependencies

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