2002 · 46 citations · 27 references
BusinessComputer EngineeringComputer ScienceComputer NetworksQueuing TheoryStochastic ProcessesLarge DeviationsQueueing AnalysisQueueing ProcessesQueueing SystemsQueueing TheoryQueuing AnalysisAsymptotic Analysis Of QueuesFractional Brownian MotionNetwork Traffic ModelingPerformance Bounds In QueuesQueueing Delay BoundsTail Bounds
Several types of network traffic have been shown to exhibit long-range dependence (LRD). In this work, we show that the busy period of an ATM system driven by a long-range dependent process can be very large. We introduce a new traffic model based on a fractional Brownian motion envelope process. We show that this characterization can be used to predict queueing dynamics. Furthermore, we derive a new framework for computing delay bounds in ATM networks based on this traffic model. We show that it agrees with results given by large deviation theory with less computational complexity.
27
Probability, Random Variables, and Stochastic Processes
Irwin Miller, Anthanasios Papoulis · Technometrics · 1966 · 6.5K citations
Engineering, Mathematics, Physics +14
Wide area traffic: the failure of Poisson modeling
Vern Paxson, Sally Floyd · IEEE/ACM Transactions on Networking · 1995 · 3.7K citations · Full text