基于度、h指数和核数的相继故障负荷-容量模型研究

The Study of Cascading Failure Load-capacity Models Based on Degree,h Index and Kernel

利用网络节点的度、h指数和核数建立负荷-容量相继故障模型,通过数值实验研究BA无标度网络、WS小世界网络、NW小世界网络和ER随机网络的鲁棒性,及其与度、h指数和核数的关系,发现抵制相继故障的鲁棒性从低到高是NW网络、ER网络和WS网络,BA无标度网络与其他3种网络的鲁棒性的大小关系与参数显著相关.另外,度、h指数和核数在网络相继故障机制中作用基本一致,网络的鲁棒性与网络的平均度、平均h指数和平均核数分别正相关.

Four kinds of load-capacity cascading failure models are studied based on the degree,h index and kernel of network nodes.The robustness of BA scale-free networks,WS small-world networks,NW small-world networks and ER random networks and their relationship with degree,h index and kernel are studied by numerical experiments.It is found that the robustness against the cascading failure is NW network,ER network and WS network from low to high,and the magnitude of the robustness of BA scale-free network and the other three networks is significantly related to the parameters.In addition,degree,h index and kernel play similar roles in the cascading failure mechanism,and the robustness of the network is positively correlated with its average degree,average h-index and average kernel,respectively.