Criticisms of modelling packet traffic using long-range dependence (extended version)

Criticisms of modelling packet traffic using long-range dependence (extended version)

This paper criticises the notion that long-range dependence is an important contributor to the queuing behaviour of real Internet traffic. The idea is questioned in two different ways. Firstly, a class of models used to simulate Internet traffic is shown to have important theoretical flaws. It is shown that this behaviour is inconsistent with the behaviour of real traffic traces. Secondly, the ...

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...

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...

Long Range Dependence Eeects and Arch Modelling

Real-Time Estimation of the Parameters of Long-Range Dependence (Extended Version)