考虑级联失效与恢复接续性的复杂网络恢复动力学

Complex Network Restoration Dynamics Method Considering Continuity between Cascading Failure and Restoration

为帮助网络系统在级联失效后尽快以合理投入实现恢复,采用耦合映象格子作为恢复动力学模型基础,将级联失效作用下的失效状态、耦合系数等作为恢复动力学输入,建模过程中添加外部恢复力及内部耦合作用形成恢复动力学方法,与未考虑接续性的3组网络恢复方法相比,恢复效果分别提升了46.7%、47.9%和66.7%。在6组不同网络上的仿真实验结果表明:本方法能拟合现实恢复场景,并能克服网络在层级、规模、建网方法等方面的差异;在三层交通网络中,初始恢复比例对恢复程度的边际贡献率可达26.8%,恢复耦合系数为0.5且首次恢复10%的节点时,网络恢复程度最高达到86.4%;该恢复动力学方法可有效刻画多种网络的恢复行为。

To help the network system restore with reasonable investment as soon as possible after cascading failure,using coupling map lattice as the basis of the restoration dynamics model,and the failure state and coupling coefficient under the cascade failure are taken as the input of the restoration dynamics.By further adding the external restoring force and the internal coupling to form the restoration dynamics method.The restoration effect is improved by 46.7%,47.9%and 66.7%respectively compared with three groups of network restoration methods without considering continuity.In addition,the simulation results on six different networks show that this method can fit the real restoration scene,overcome the differences in network level,scale,network construction methods and so on.Specifically,in the three-layer transportation network,the marginal contribution rate of the initial restoration ratio to the restoration degree is 26.8%,and when the coupling coefficient of restoration is 0.5 and 10%of the nodes are restored for the first time,the restoration degree of the network is as high as 86.4%.The proposed restoration dynamics method can effectively describe the restoration process of various networks.