CAJ | 학술논문

考虑权重因素，建立了加权网络的级联故障模型，其中初始负荷定义为节点强度的函数且其分布通过控制参数α可调，当节点故障时其负荷通过一定的规则分配给邻居节点。研究表明，级联抗毁性的度量指标必须同时考虑权重和拓扑结构的因素，否则将可能高估故障的严重程度。在 BBV（Barrat-Barthélemy-Vespignani）网络的框架内，得出如下结论：当α＞1时，攻击负荷大的节点更容易引发大规模级联故障；而当α＜1时，攻击负荷小的节点更容易导致网络的瘫痪；且 BBV 模型参数δ与网络级联抗毁性负相关。最后从不同角度对上述结论进行了理论分析和仿真说明。
고필권중인소，건립료가권망락적급련고장모형，기중초시부하정의위절점강도적함수차기분포통과공제삼수α가조，당절점고장시기부하통과일정적규칙분배급린거절점。연구표명，급련항훼성적도량지표필수동시고필권중화탁복결구적인소，부칙장가능고고고장적엄중정도。재 BBV（Barrat-Barthélemy-Vespignani）망락적광가내，득출여하결론：당α＞1시，공격부하대적절점경용역인발대규모급련고장；이당α＜1시，공격부하소적절점경용역도치망락적탄탄；차 BBV 모형삼수δ여망락급련항훼성부상관。최후종불동각도대상술결론진행료이론분석화방진설명。
A cascading failure model for weighted networks is built by considering the influence of weight. In this model the networks’initial loads are defined as the function of node strength and their distribution can be adjusted with the parameterα.When a node fails,the loads on it will be distributed to its neighbors through certain rules.The study shows that both factors of weight and topological structure should be considered in or-der to measure the cascading invulnerability,otherwise the cascading failure may be overrated.The following conclusions are validated under the framework of Barrat-Barthélemy-Vespignani (BBV)network:in the case ofα>1,attacking the larger load nodes is more prone to large scale cascading failures;while forα<1,attacking the smaller load nodes is more easily leads to the whole network’s paralysis;and the modeling parameterδneg-atively correlates with the networks’invulnerability.Finally,theoretical analyses and simulations are made to explain these conclusions.