运筹与管理 ›› 2022, Vol. 31 ›› Issue (2): 77-84.DOI: 10.12005/orms.2022.0046

• 理论分析与方法探讨 • 上一篇    下一篇

基于可靠性弹性指标的系统弹性度量方法

兑红炎1, 陈栓栓1, 马婧2, 陈立伟3, 刘玉敏4   

  1. 1.郑州大学 管理工程学院,河南 郑州 450001;
    2.郑州大学 教育学院,河南 郑州 450001;
    3.郑州大学 电气工程学院,河南 郑州 450001;
    4.郑州大学 商学院,河南 郑州 450001
  • 收稿日期:2020-05-09 出版日期:2022-02-25 发布日期:2022-03-11
  • 通讯作者: 马婧(1983-),女,河南新乡人,副教授,博士,从事概率统计、教育统计等研究
  • 作者简介:兑红炎(1982-),男,河南郑州人,教授,博士,从事复杂网络、可靠性等研究;陈栓栓(1995-),女,河南周口人,硕士,从事网络可靠性研究;陈立伟(1983-),男,河南郑州人,副教授,博士,从事复杂网络、可靠性等研究;刘玉敏(1956-),女,河南濮阳人,教授,博士,从事复杂网络、博弈分析、智能监控等研究。
  • 基金资助:
    国家自然科学基金资助项目(72071182,U1904211);教育部人文社科规划基金资助项目(20YJA630012);河南省高校科技创新人才支持计划(22HASTIT022);河南省高等学校青年骨干教师培养计划(2021GGJS007);河南省科技攻关重点项目(182102210010);河南省科技攻关(222102520190)

System Resilience Measurement Based on the Reliability Resilience Indices

DUI Hong-yan1, CHEN Shuan-shuan1, MA Jing2, CHEN Li-wei3, LIU Yu-min4   

  1. 1. School of Management Engineering, Zhengzhou University, Zhengzhou 450001, China;
    2. School of Education, Zhengzhou University, Zhengzhou 450001, China;
    3. School of Electrical Engineering, Zhengzhou University, Zhengzhou 450001, China;
    4. School of Business, Zhengzhou University, Zhengzhou 450001, China
  • Received:2020-05-09 Online:2022-02-25 Published:2022-03-11

摘要: 为深入研究系统弹性问题,首先分析系统中不同节点和边的可靠性弹性指标。通过引入节点弹性与边弹性,并考虑节点弹性与边弹性二者的联系以及对系统弹性的影响,建立了能够反映系统拓扑结构变化的弹性度量方法模型。最后,在对弹性度量方法的验证环节中,引入了具有分层特性的交通系统,按照所述弹性度量方法对分层交通系统中的节点弹性以及边弹性进行了分析,发现该种分层交通系统的整体弹性程度一般,任何小的干扰或者故障都有可能造成该交通系统拥堵或瘫痪。

关键词: 可靠性, 弹性, 复杂系统, 拓扑结构

Abstract: In this paper, the problem of system resilience is studied based on the reliability resilience indices. Firstly, the reliability resilience indices of different nodes and edges are investigated. Moreover, the relationship between nodes resilience and edges resilience is considered. The influence of the relationship between nodes resilience and edges resilience on system resilience is analyzed. A resilience measurement model is established to reflect the changes of the hierarchical network topology. In the verification link of the resilience measurement method, a hierarchical transportation system is introduced. According to the resilience measurement method, the node resilience and edge resilience in the layered transportation system are analyzed. In addition, it is found that the overall resilience of the layered transportation system is average. Any small disturbance or failure may cause the traffic system to be congested or paralyzed.

Key words: reliability, resilience, complex systems, topology

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