加权BA网络负荷重分配建模及级联抗毁性

A Load Reallocation Model for Weighted Scale-Free Network and Cascading Invulnerability Research

增强复杂网络在级联故障下的抗毁性具有重要的实际应用意义。在考虑了网络中边之间的差异性,基于BA无标度网络模型构建了加权BA无标度网络模型,对负荷重分配策略进行建模,分析了分配过程中局部规模大小对网络抗毁性的影响,确定出了最佳负荷重分配策略,并研究了蓄意攻击条件下采取不同负荷重分配策略时重要网络参数对网络抗毁性的影响。仿真结果表明,局部规模越小、权重系数越小、平均度越大,网络的抗毁性越强,且采用就近局部负荷重分配策略时网络抗毁性始终高于采用就近全局负荷重分配策略时网络的抗毁性。研究结果可为提高复杂系统的级联抗毁性提供理论参考。

On consideration of the difference between edges in the network, this paper constructs a weigh- ted scale-free network model based on the BA scale-free network model, builds a load reallocation strategy model analyzes the efforts of local distribution size of network on survivability determines the optimal load reallocation strategy, and analyzes the influence of network parameters on the network invulnerability under deliberate attack condition and different load reallocation strategies. The simulation results show that the smaller the network weight coefficient and the greater the average degree, the stronger the network survivability, namely the network＇s cascading invulnerability becomes stronger while the network is more homogenous and denser and the network＇s invulnerability is always superior to the handy full load reallocation when the handy local load reallocation strategy is adopted. This research can provide a theoretical reference for improving the network invulnerability.