多态防护系统可靠性及重要度分析

doi:10.12005/orms.2020.0205

运筹与管理 ›› 2020, Vol. 29 ›› Issue (8): 98-104.DOI: 10.12005/orms.2020.0205

多态防护系统可靠性及重要度分析

兑红炎¹, 白光晗²

1.郑州大学管理工程学院,河南郑州 450001;
2.国防科技大学智能科学学院,机电工程研究所兼国防科技重点实验室,湖南长沙 410073

收稿日期:2019-02-21 出版日期:2020-08-25
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;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:
国家自然科学基金联合重点资助项目(U1904211);国家自然科学基金资助项目(71501173,71701207);教育部人文社科规划基金资助项目 (20YJA630012)

System Reliability and the Importance Analysis in Multi-state Protection Systems

DUI Hong-yan¹, BAI Guang-han²

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

Received:2019-02-21 Online:2020-08-25

摘要/Abstract

摘要： 在装备防护系统中,系统中的所有部件都可能会受到攻击,为了降低攻击成功的概率,部件的防护层有多个状态,从完全失效状态到完好状态,部件的防护功能依次增加。本文分析了部件防护层的状态变化规律,研究了当部件受到攻击存活和故障时的平均性能变化机理。然后基于系统结构函数,分别给出了防护层的Birnbaum重要度和综合重要度,分析了当部件防护层的状态发生变化时,系统性能的变化规律和特性;并考虑部件防护层的状态转移率,分析了在多种状态变化情况下的防护层提升对系统性能的影响。最后针对某直升机的航空动力装置系统,分析了不同部件防护层对系统性能的影响,并比较了Birnbaum重要度和综合重要度的不同,验证了提出方法的正确性和有效性。

关键词: 多态防护, 系统性能, 重要度, 状态转移

Abstract: In the protection system, all the components may be attacked. In order to reduce the probability of the attack success, the protective layer of a component has multiple states, and the protection function of the component increases from the complete failure state to the perfect state. This paper analyzes the state change of component protection layer, and studies the mechanism of the system performance change when components are attacked. Then, based on the system structure function, the Birnbaum importance and the integrated importance measures of the protective layer are given respectively. The change and characteristics of the system performance are analyzed when the states of the protective layer change. Considering the state transition rate of the protective layer, the influence of the protection layer on the system performance is analyzed. At last, a helicopter system is used to analyze the influence of the protective layer of different parts on the system performance. The differences between the Birnbaum importance and the integrated importance measures are compared, and the correctness and effectiveness of the proposed method are verified.

Key words: multi-state protection, system performance, importance measure, state transition

中图分类号:

N945

兑红炎, 白光晗. 多态防护系统可靠性及重要度分析[J]. 运筹与管理, 2020, 29(8): 98-104.

DUI Hong-yan, BAI Guang-han. System Reliability and the Importance Analysis in Multi-state Protection Systems[J]. Operations Research and Management Science, 2020, 29(8): 98-104.

参考文献

[1] Paulson Gjerde K A, Slotnick S A. Quality and reputation: the effects of external and internal factors over time[J]. International Journal of Production Economics, 2004, 89(1): 1-20.
[2] Si S, Dui H, Cai Z, Sun S. A novel importance measure for external factors based on system performance[J]. International Journal of Performability Engineering, 2012, 8(4): 447-450.
[3] Korczak E, Levitin G. Survivability of systems under multiple factor impact[J]. Reliability Engineering & System Safety, 2007, 92(2): 269-274.
[4] Korczak E, Levitin G, Ben-Haim H. Reliability of series-parallel systems with multilevel protection[J]. Reliability Engineering & System Safety, 2005, 90(1): 45-54.
[5] Levitin G, Hausken K. Protection vs. redundancy in homogeneous parallel systems[J]. Reliability Engineering & System Safety, 2008, 93(10): 1444-1451.
[6] Levitin G, Hausken K, Dai Y. Individual vs. overarching protection for minimizing the expected damage caused by an attack[J]. Reliability Engineering & System Safety, 2013, 119(11): 117-125.
[7] Levitin G, Hausken K, Dai Y. Optimal defense with variable number of overarching and individual protections[J]. Reliability Engineering & System Safety, 2014, 123(3): 81-90.
[8] Dui H, Si S, Wu S, Richard Yam C M. An importance measure for multistate systems with external factors[J]. Reliability Engineering & System Safety, 2017, 167: 49-57.
[9] Kuo W, Zhu X. Importance measures in reliability, risk, and optimization: principles and applications[M]. New York: John Wiley & Sons, 2012.
[10] Birnbaum Z W. On the importance of different components in a multi-component system[M]. New York: Academic Press, 1969. 581-592.
[11] 高雪莉,崔利荣.单元重要度在可靠性工程中的应用[J].国防技术基础,2005,12(1):1-4.
[12] Zhang L, Lu Z, Cheng L, Fan C. A new method for evaluating borgonovo moment-independent importance measure with its application in an aircraft structure[J]. Reliability Engineering & System Safety, 2014, 132(3): 163-175.
[13] 何爱民,赵先,崔利荣,解伟娟.线形可重叠的m-consecutive-k-out-of-n: F系统可靠性和单元重要度研究[J].兵工学报,2009,30:135-138.
[14] Si S, Dui H, Zhao X, Zhang S, Sun S. Integrated importance measure of component states based on loss of system performance[J]. IEEE Transactions on Reliability, 2012, 61(1): 192-202.
[15] Dui H, Si S, Zuo M, Sun S. Semi-markov process-based integrated importance measure for multi-state systems[J]. IEEE Transactions on Reliability, 2015, 64(2): 754-765.
[16] Dui H, Si S, Richard Yam C M. Importance measures for optimal structure in linear consecutive-k-out-of-n systems[J]. Reliability Engineering & System Safety, 2018, 169: 339-350.
[17] 兑红炎,陈立伟,周毫,王宁.基于系统可靠性的组件综合重要度变化机理分析[J].运筹与管理,2018,27(2):79-84.

多态防护系统可靠性及重要度分析

System Reliability and the Importance Analysis in Multi-state Protection Systems

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 10

编辑推荐

Metrics

[1]	舒萍, 顾奕翀, 王嘉, 白光晗, 罗豪元. 基于马尔科夫过程的储备系统稳态性能分析[J]. 运筹与管理, 2021, 30(9): 43-47.
[2]	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.
[3]	刘阳, 田军, 冯耕中, 扈衷权. 考虑突发事件状态转移的政府应急物资采购定价模型[J]. 运筹与管理, 2020, 29(4): 1-11.
[4]	宋明秋, 李艳博. 考虑攻击相关性的蠕虫传播模型[J]. 运筹与管理, 2020, 29(1): 79-85.
[5]	金秀, 尘娜, 刘家和, 苑莹. 状态转移框架下跨地区、跨行业资产配置模型及实证[J]. 运筹与管理, 2018, 27(3): 150-158.
[6]	兑红炎, 陈立伟, 周毫, 王宁. 基于系统可靠性的组件综合重要度变化机理分析[J]. 运筹与管理, 2018, 27(2): 79-84.
[7]	仲秋雁, 王然, 曲毅. 基于粗糙集的突发事件属性约简方法[J]. 运筹与管理, 2018, 27(1): 89-95.
[8]	王道平, 徐展, 杨岑. 基于两阶段启发式算法的物流配送选址-路径问题研究[J]. 运筹与管理, 2017, 26(4): 70-75.
[9]	王强强, 周伟. 递进式输入率和服务率设定下的M/M/c模型优化及应用[J]. 运筹与管理, 2017, 26(4): 96-104.
[10]	周伟, 王强强. 动态输入率和服务率设定下的M/M/c模型扩展及其应用[J]. 运筹与管理, 2017, 26(2): 76-83.