Research On Robustness Of Interdependent Network Based On Cascading Failure

With the rapid development of science and technology, the mutual dependence andcoupling of all kinds of infrastructure facilities of the system become more and more intense.In the past, simple analysis of single network has not been very good to reflect the overallrobustness of the network system with dependent relationship. Studying the robustness ofinterdependent network can help us find out the factors which accurately affect security andstability of the reality system. Based on the theory of complex network, this paper focuses onthe thread of "the robustness of interdependent network ", and aims at the cascading failureproblem of interdependent network, studies the model of interdependent network based onpositive/negative correlation and its robustness, the protection strategy for cascading failureof interdependent network with load etc. problem. In this paper, the main results are asfollows:Firstly, the study of the interdependent network on the hot topics in recent years iscomprehensively summarized in this paper from three aspects which are the basic theory ofinterdependent network, cascading failure model of interdependent network and robustness ofdependent network, which provide reference for subsequent research work.Secondly, the model of interdependent network based on positive/negative correlationof the degree is constructed by the typical BA network based on the basic theory ofinterdependent network in this paper. Dependency modality and dependency degree betweensub networks are considered in the model. Two parameters F and K are defined, whichrepresent the proportion of dependency node and the redundancy of dependency, respectively,to quantify the dependence degree between sub networks. We study the influences of differentvalues of F and K on the robustness of interdependent network in cascading failures underdegree-based attacks and random attacks, and also compare the results with those from therandom interdependent network model. The simulation analysis show that the robustness ofinterdependent network is closely related to two parameters (F and K), and the robustness ofboth random independency and interdependent network based on positive/negative correlationof the degree decreases as F increases and increases as K increases; in the model of fullinterdependence (F1), the robustness of interdependent network based on positivecorrelation of the degree is optimal under random attacks; the interdependent network basedon negative correlation of the degree shows stronger robustness in the model of partialinterdependence (F=0.2,0.5,0.8). While the interdependent network based on positivecorrelation of the degree shows poorer robustness with any value of F under degree-based attacks. These conclusions are of referential significance for the construction of dependencynetwork with strong robustness.Finally, the node load will be introduced to dependent network in this article. Combiningwith the basic theory of interdependent networks, this paper constructs a new model ofinterdependent network with load which is more consistent with the actual situation. Andbased on the theory of load-capacity model for cascading failure in single network, this papercombines with the theory of the interdependent network cascade failure based on percolationtheory, and constructs a model of interdependent network cascade failure with load. And onthis basis, focus on the research of interdependent network cascading failure protectionstrategy, this paper puts forward four kinds of different protection strategies. Comparing therobustness of interdependent network under four different protection strategies by simulationanalysis in different values of and, the simulation results demonstrate the effectivenessof the four kinds of protection strategies. Besides, it finds the protection strategys thatconsiders the degree characteristics of interdependent nodes is more effective thanconsidering node degree characteristics of single interdependent node. Compared to theprotection strategy that considers the summation of degree of interdependent nodes, theprotection strategy that considers product of degree of interdependent nodes is better. Thiswork plays an important role to improve the ability to resist the cascading failure ofinterdependent network, and provides useful tips for how to select nodes to take protectionstrategy in the interdependent network and how to improve the robustness of theinterdependent network.