Research On Robustness Of Interdependent Networks In Different Interdependent Model On Cascading Failure

With the increasingly updating of modern equipment,advanced science and technology has made the interdependence of various types of infrastructure networks more and more closely in the life.So,if you just study the robustness of the isolated network as before,then the special nature of these networks which in the life will not be explored,and the robustness of the whole network system can not be studied deeply.At this point,based on the knowledge of complex network theory,this paper makes a research on the subject of "interdependent network robustness in different interdependent model",and simulates the cascade failure problem of the interdependent network model.In this paper,the main results are as follows:Firstly,in this paper,the theoretical basis of the complex network is introduced in detail,and the structural characteristics of the interdependent network based on the complex network theory are expounded,and made a summary on the concept of interdependent network,interdependent network cascading failure model and the robustness of interdependent networks,which provides reference for the follow-up research work.Secondly,we propose a interdependent network model which is constructed by the interconnection of BA scale-free network model and WS small world network model.In the case of random attack and intentional attack,we compared the ability of seven interdependent modes to resist the cascade failure of the interdependent network,and chose which network model and which interdependent model is more better for the robustness by simulation.These seven interdependent model are: HD-HD,HD-LD,HB-HB,HB-LB,HD-HB,HD-LB,and R-R.The simulation results show that the interdependent network model with BA network has better robustness for HD-LD and HB-LB under the intentional attack;But in the face of random attack,HD-HD and HB-HB have better robustness.However,whether it is intentional attack or random attack,HD-HD and HB-HB have better robustness in the interdependent network which is constructed by the WS-WS.So it can be shown that the interdependent model of HD-HD and HB-HB on the network in the fight against random attack have strongger robustness.These conclusions can be used as a reference for constructing a interdependent network which has better robustness.Finally,we introduced the concept of node load redistribution into the cascading failure of the interdependent network,then defined the parameter ? as the contribution ratio of the degree and the betweenness to the load capacity.At the same time,the tolerance coefficient ? is defined as the cost of building the interdependent network.Then we study the robustness of the three interdependent network models BA-BA,BA-WS and WS-WS,which are used to learn the robustness of the interdependent network,and compared the effects of the five interdependent model which are HD-HD,HD-LD,HB-HB,HB-LB,R-R on the robustness of the interdependent network.Through the study found that,the robustness of the interdependent network with node load capacity is the best when the ?=0.2.For ?=0.2,HD-HD and HB-HB is the best performance of the robustness of the five interdependent model on interdenpendent network.These conclusions provide a reference for us to study the robustness of interdependent networks and how to build a robust network at the lowest cost.