Tactical guarantee network survivability cascade failures analysis based on probability generating function

Characteristics of tactical guarantee network are analyzed, based on which a network model with uniformly random degree distribution and cascade failure survivability model is proposed. Supposing network nodes´ initial capacity and load were equal, the critical point of network cascade collapse is derived by probability function method analysis. The research shows that: as network load increases, there will be a critical load value. When network load exceeds the critical value, a random node failure in the network will cause the entire function network to collapse. Finally, computer simulation is applied to verify the correctness of the analytic deduction.