Abstract: In order to verify the network traffic decline because by node breakdown, this paper proposes a new type of prediction algorithm(Prediction algorithm based on Discrete-Time for FARIMA model,PDF). At first, the mathematic formula for queuing situation and average queue length in steady state is derived with queuing theory in this algorithm based on discrete time, and the prediction method is established by FARIMA Model. Then, a simulation was conducted to research on the relationships between average queue length and service rate. The result shows that it has good adaptability, and the standard deviation between prediction traffic and original traffic is 10.18.