On the self-similar nature of Ethernet traffic (extended version)
IEEE/ACM Transactions on Networking (TON)
Wide-area traffic: the failure of Poisson modeling
SIGCOMM '94 Proceedings of the conference on Communications architectures, protocols and applications
Experimental queueing analysis with long-range dependent packet traffic
IEEE/ACM Transactions on Networking (TON)
Self-similarity in World Wide Web traffic: evidence and possible causes
Proceedings of the 1996 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Simulation of nonGaussian long-range-dependent traffic using wavelets
SIGMETRICS '99 Proceedings of the 1999 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Mathematical analysis of the use of application-level traffic measurements for capacity engineering
ACM SIGMETRICS Performance Evaluation Review
Small-time scaling behavior of Internet backbone traffic
Computer Networks: The International Journal of Computer and Telecommunications Networking - Special issue: Long range dependent trafic
IEEE/ACM Transactions on Networking (TON)
Small-time scaling behavior of Internet backbone traffic
Computer Networks: The International Journal of Computer and Telecommunications Networking - Special issue: Long range dependent trafic
Describing network traffic using the index of variability
IEEE/ACM Transactions on Networking (TON)
Evaluating buffer-constrained routers under bursty and shaped traffic
ANTS'09 Proceedings of the 3rd international conference on Advanced networks and telecommunication systems
Markovian modelling of internet traffic
Network performance engineering
Generation of self-similar processes for simulation studies of telecommunication networks
Mathematical and Computer Modelling: An International Journal
Review: A critical look at power law modelling of the Internet
Computer Communications
Research: Multifractal modeling of counting processes of long-range dependent network traffic
Computer Communications
Review paper: New trends in ATM networks: a research view
Computer Communications
The effect of long-memory arrivals on queue performance
Operations Research Letters
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Recent traffic analyses from various packet networks have shown the existence of long-range dependence in bursty traffic. In evaluating its impact on queuing performance, earlier investigations have noted how the presence of long-range dependence, or a high value of the Hurst parameter H, is often associated with surprisingly large queue sizes. As a result, a common impression has been created of expecting queuing performance to be worse as H increases, but this impression can be misleading. In fact, there are examples in which larger values of H are associated with smaller queues. So the question is how can one tell whether queuing performance would improve or degrade as H rises? In this paper, we show that the relative queuing performance can be assessed by identifying a couple of time scales. First, in comparing a high-H process with a low-H process, there is a unique time scale tm at which the variances of the two processes match (assuming exact, second-order self similarity for both processes). Second, there are time scales tqi that are most relevant for queuing the arrivals of process i. If both of the queuing scales tqi exceed the variance-matching scale tm, then the high-H queue is worse; if the queuing scales are smaller, then the low-H queue is worse. However, no firm prediction can be made in the remaining case of tm falling between the two queuing scales. Numerical examples are given to demonstrate our results.