Research Into A Cascading Failure Of Weighted Complex Network Model Based On Grey Information

Our life is filled with all kinds of complex networks,the stable operation of the network is the guarantee of people's life.But various reasons,are likely to cause disturbance that make large-scale cascading failures,such as artificial attacks,natural disasters,element aging and so on.These failures cause countries and people to suffer great economic losses.To reduce or even eliminate the large-scale network fault,a large number of domestic and foreign scholars have studied on it.But most of them only from the network topology structure research unweighted network's anti-destroying ability.Unweighted network is simple abstraction to the real network,and cannot well reflect the nature of real network;some of them research network anti-destroying ability only with the angle of the static.However,in the real network,energy is flowing and dynamic,it is one-sided only from the perspective of the static analysis.In addition,previous studies basic research is based on the two extremes,one is a fully understand to the network,another is a completely do not understand,which deliberately attack and attack randomly.In the real network,the structure of the network is more and more complex,the scale is more and more big,it is almost impossible to grasp the features of each individual in the network.It is also unrealistic to know nothing about the individuals in the network.So between the two extreme ways,it is necessary to be studied.Fully considering the dynamic characteristics of the network,the paper build a cascading failure model based on the load-capacity relationship,and study on BA weighted network which more suitable for the reality network.In this paper,a load allocation mechanism which is different from shortest path or load distribution is suggested.In this mechanism,the load is allocated by edge weighted proportion.To all exist in the network of nodes connected with network summary of the relative size of the connectivity and network efficiency to measure the anti-destroying ability of network.Based on this kind of mode,we study gray information had effect in network robustness.The simulation results show that the amount of information to master the more network performance of the fragile;in addition,if we can accurately grasp the important information when even a relatively small amount of information can play a deliberate attack effect.So in order to improve the network robustness,we may pay more attention to the important nodes or edges in the network.The process of cascading failures based on edge or node show that the network exist transient process,namely in the network,the load of inoperative edges or nodes are allocated may cause the network paralysis.Will be based on the edge of failure and node failure compares two modes of failure behavior can be found,on the edge of the attack are more likely to make the network breakdown.