Research and Application of Importance Degree Evaluation Method of Complex Network Cascade Connection Node Based on Load Redistribution
This paper presented a model with overload function for cascading failure. The main differences with respect to previous models are as follows: overload function is defined for each node, according to the value of overload function, one node has th ree states: success, overload, failure. After the load decreases, an overloaded node can be success again. The evolution of topology is replaced by the evolution of value of overload function during the process of cascading failure. It’s needless to delete the failure nodes and its edges, the load will avoid the failure nodes automat ically and the decrease of network performance will be reflected by network efficiency. An evaluation method of node importance considering cascading failure is proposed, and its algorithm is presented. A new definition of node importance is proposed. The most important node is the one who see failure results in the largest decrease of networks efficiency at the end of cascading. The evaluation method can help us to find some potential critical nodes which are sensitive to the efficiency of networks but not so important intuitively. Final example verifies its efficiency and feasibility.