Cascading Failure Mechanism And Robustness Of Complex Networks

To study the robustness of complex networks while encountering random failure or deliberate attack,the cascading failure model is constructed by considering failure probability propagation,which can depict the failure dynamic process.The repetitive failure feature is taken into account in the model and network comprehensive robustness index is designed according to valid edges and nodes.Then,two kinds of recovery strategies: probability R and iteration number T are proposed,and the recovery strategies are implemented on ER random network,WS small-world network,nearest-neighbor coupled network and BA scale-free network,respectively,to test the variation of network robustness.The simulation results by applying probability recovery strategy show that nodes recovery ability increase with R,thus reduce the impacts of cascading failure and produce good network robustness.Under the iteration number recovery strategy,the network comprehensive robustness index shows a mutation phenomenon when the parameter T increase to a threshold.On the basis of the above researches,a cascading failure model of the independent supply chain network is proposed to study the robustness,optimization and control of the independent supply chain network,while encountering random failure or deliberate attack.By establishing a two-layer supply chain network model,the load,risk threshold and tightness of nodes in the network model are described by using adjustable parameters such as ? ?? ?(37)??.A tightness shunt strategy was proposed for network P,while a probabilistic shunt strategy was adopted for network L.Due to the different shunt strategies adopted by association network,the peer nodes in the network ware compared and analyzed by constructing inter-layer association function.Under the control of adjustable parameters,the robust performance of supply chain network is simulated and analyzed when a single fault node or initialized are removed.An immune optimization strategy is proposed which shows strong robustness and strong risk absorption ability when the node is attacked.