针对加权复杂网络的抗毁性分析问题,选取网络效率和网络鲁棒性作为抗毁性的度量指标,对加权网络在不同信息条件下抗毁性的变化进行数值仿真模拟。最后,对成本和性能约束下加权网络的抗毁性进行定量分析,给出不同信息条件下加权网络抗毁性的优化策略。结果表明:在基于局部拓扑信息的攻击策略下,权重系数越大,网络的抗毁性越强;在基于全局拓扑信息的攻击策略下,网络的抗毁性要优于基于局部信息的攻击策略,且权重系数为0.5的网络在攻击初始阶段抗毁性最强;另外,若能在攻击早期加大对节点的防护力度,则会大大降低对网络性能的影响。
To solve the problems of invulnerability analysis of weighted complex networks, network efficiency and robustness were adopted as the measurements of invulnerability. Based on that, invulnerability of weighted networks with different information was investigated by the numerical simulation. Finally, the quantitative analysis of invulnerability of weighted networks under the restrictions of cost and performance was presented and optimized strategies of invulnerability with different information were proposed. The results demonstrate that under the strategies with local topology information, the larger the weight coefficient, the better the invulnerability. And under the strategies with the whole topology information, weighted networks perform better than that under the strategies with local topology information. Moreover, the network with weight coefficient of 0.5 performs the best in the initial stage of attack. Besides, the influence on the network performance will be reduced if the defense of the nodes is strengthened at the initial stage of attack in every instance.