多态系统部件维修成本评估分析

doi:10.12005/orms.2019.0207

运筹与管理 ›› 2019, Vol. 28 ›› Issue (9): 122-127.DOI: 10.12005/orms.2019.0207

多态系统部件维修成本评估分析

兑红炎¹, 陈立伟², 白光晗³

1.郑州大学管理工程学院,河南郑州 450001;
2.郑州大学电气工程学院,河南郑州 450001;
3.国防科技大学智能科学学院,装备综合保障技术重点实验室,湖南长沙 410073

收稿日期:2018-04-23 出版日期:2019-09-25
作者简介:兑红炎(1982-),男,河南人,副教授,博士,研究方向:系统可靠性和重要度;陈立伟(1983-),男,河南人,副教授,博士,研究方向:传感网和可靠性;白光晗(1986-),男,贵州人,讲师,博士,研究方向:网络可靠性,复杂系统可靠性、抗毁性、稳健性分析。
基金资助:
国家自然科学基金资助项目(71501173,71701207)

Component Maintenance Cost in Multi-state Systems

DUI Hong-yan¹, CHEN Li-wei², BAI Guang-han³

1. School of Management Engineering, Zhengzhou University, Zhengzhou 450001, China;
2. School of Electrical Engineering, Zhengzhou University, Zhengzhou 450001, China;
3. Intelligence Science College, National University of Defense Technology, Changsha 410073, China

Received:2018-04-23 Online:2019-09-25

摘要/Abstract

摘要： 多态系统是可靠性理论中的一种重要系统,是指部件和系统具有多个状态。随着部件的劣化,系统的性能随之下降。为了提高系统的性能,部件需要进行一定的维修。本文考虑部件状态转移率与停留时间的关系,利用重要度理论来分析部件维修成本的变化规律,得出对系统维修成本影响最大的部件。首先,基于维修成本的函数关系,给出了重要度的表达式;其次,针对典型串联系统和并联系统,随着时间推移,给出维修成本的变化规律;最后算例仿真验证了提出方法的有效性和正确性。

关键词: 可靠性, 多态系统, 维修成本, 转移率, 停留时间

Abstract: In multi-state systems, all components and system have multiple states. With the component degradation, the system performance decreases. In order to improve the system performance, component will be maintained. In this paper, based on the relationship between transition rates and sojourn time of component states, the importance measure is used to analyze the variation of the system maintenance cost. The important component influencing the system maintenance cost most can be got. Firstly, the calculation method of the importance measure based on the function of maintenance costs is described. Secondly, with the change of maintenance cost, the importance measure of different component is analyzed in the typical series systems and parallel systems. Finally, a numerical example is simulated to verify the correctness and validity of the proposed method.

Key words: reliability, multi-state systems, maintenance costs, transition rate, sojourn time

中图分类号:

N945

兑红炎, 陈立伟, 白光晗. 多态系统部件维修成本评估分析[J]. 运筹与管理, 2019, 28(9): 122-127.

DUI Hong-yan, CHEN Li-wei, BAI Guang-han. Component Maintenance Cost in Multi-state Systems[J]. Operations Research and Management Science, 2019, 28(9): 122-127.

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多态系统部件维修成本评估分析

Component Maintenance Cost in Multi-state Systems

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