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考虑恢复概率的网络韧性动力学建模及分析

Dynamical Modeling and Analysis of the Network Resilience with Recovery Probability
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摘要 为了应对复杂网络的突发故障,提高网络的自适应和恢复能力十分重要,韧性是描述网络应对扰动能力一个关键特征量.针对网络故障后产生的失效节点,建立了失效动力学模型,同时提出与节点过载程度相关的恢复策略,使用网络运行效率的积分函数来量化网络的韧性能力,在不同失效比例和恢复概率参数下研究网络弹性的变化情况.数值结果表明:随着失效概率参数和恢复概率参数增加,网络的韧性能力降低;当网络中失效节点的比例的增加时,网络韧性能力先减后增. In order to deal with the sudden failure of the network,it is crucial to improve the adaptability and recovery ability of the network.Resilience is a key characteristic quantity describing the ability of the network to face the disturbance.In this paper,a failure dynamic model is established for the failure nodes generated after network failure,and a recovery strategy related to its overload degree is proposed.The integral function of network operational efficiency is used to quantify the resilience of the network,and the change of network resilience is studied under different failure proportion and recovery probability parameters.Numerical results show that the resilience of the network decreases with the increase of failure probability parameters and recovery probability parameters.When the proportion of failed nodes in the network increases,the network resilience ability first decreases and then increases.
作者 杨丽新 张伊晴 李梦娇 党元辰 YANG Lixin;ZHANG Yiqing;LI Mengjiao;DANG Yuanchen(School of Mathematics and Data Sciences,Shaanxi University of Science and Technology,Xi'an 710021,China)
出处 《西安文理学院学报(自然科学版)》 2025年第3期36-40,共5页 Journal of Xi’an University(Natural Science Edition)
基金 国家自然科学基金资助项目(11702195)。
关键词 网络韧性 失效模型 恢复概率 network resilience cascading failure model recovery probability
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