On the Long-range Dependence of Packet Round-trip Delays in Internet

Many recent studies on network traffic demonstrate that Longrange Dependence (LRD) is a ubiquitous property of traffic both in a local area network (LAN) and a wide area network (WAN). So the performance of network should be dominated by this property. Packet Round-trip Delay is an important measurement of network performance. In this paper, we present evidence that LRD exists in packet round-trip delays. This discovery has serious implications for understanding the impact on network performance of LRD network traffic, and design of transport control protocols for special applications, i.e., of teleconferencing. Statistical analyses show that the complementary probability distribution of packet round-trip delays decays more slowly than exponential rate; this fact probably justifies the studies on the prediction of the queue length distribution with LRD network traffic. We also tentatively use a multi-queueing system to interpret the existence of LRD in the packet round-trip delay process, which we believe is caused by LRD of Internet traffic.