Long-range dependence analysis of Internet traffic

Long range dependence in Internet backbone traffic

♣ This research was sponsored by WorldCom, Inc. Abstract—We report the first statistical analysis of Internet backbone traffic, based on traces with levels of aggregation 10 times larger and timestamp accuracy 1000 times better than in previous studies. We analyze the first three moments, marginal distributions and correlation structures of packet size, packet inter-arrival time, byte count and...

Long-range dependence in a changing Internet traffic mix

This paper provides a deep analysis of long-range dependence in a continually evolving Internet traffic mix by employing a number of recently developed statistical methods. Our study considers time-of-day, day-of-week, and cross-year variations in the traffic on an Internet link. Surprisingly large and consistent differences in the packet-count time series were observed between data from 2002 a...

The Effect of Statistical Multiplexing on the Long-Range Dependence of Internet Packet Traffic

As the number of active connections (NAC) on an Internet link increases, the long-range dependence of packet traffic changes due to increased statistical multiplexing of packets from different connections. Four packet traffic variables are studied as time series — inter-arrival times, sizes, packet counts in 100 ms intervals, and byte counts in 100 ms intervals. Results are based on the followi...

The influence of long-range dependence on traffic prediction

On the Propagation of Long-Range Dependence in the Internet

This paper analyzes how TCP congestion control can propagate self-similarity between distant areas of the Internet. This property of TCP is due to its congestion control algorithm, which adapts to self-similar uctuations on several timescales. The mechanisms and limitations of this propagation are investigated, and it is demonstrated that if a TCP connection shares a bottleneck link with a self...