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We propose an improved video traffic modeling scheme, delay-tolerant multi-leaky-bucket (DTMLB), for video streaming applications over the Internet. Based on the original multi-leaky-bucket modeling method (MLB), DTMLB parameterizes the actual traffic cumulative function instead of the empirical envelope function used by MLB. Moreover, DTMLB incorporates different delay tolerance characteristics among I-frames, P-frames, and B-frames of video to improve the overall bandwidth utilization. Simulation results show that DTMLB provides higher modeling accuracy and higher bandwidth utilization than the MLB and the peak rate modeling methods do. Furthermore, in our simulations, DTMLB generates the least burst traffic into the subsequent nodes of networks among all three methods tested.