2002 · 17 citations · 17 references
BusinessComputer ScienceComputer SystemsComputer NetworksQueuing TheoryStochastic ProcessesArrival ProcessesQueueing AnalysisQueueing ProcessesQueueing SystemsQueueing TheoryService ProcessesArrival Process AnalysisArrival Process ModellingAutoregressive ProcessesFractional Brownian MotionQueueing ModelsSelf-similar ProcessesSimulation Of Queueing SystemsStochastic Arrival Processes
Poisson based traffic models do not accurately model the characteristics of many types of real network traffic. Several studies have shown that LAN traffic (and some other types) are well characterized by self-similar processes. Moreover, there are strong indications that traditional Markov queueing systems can overestimate the performance of real ATM systems. We investigate the performance of an ATM queueing system fed by a self-similar arrival process. The packet arrivals are generated by a fractional Brownian noise process and the service process is deterministic. There are no analytical or even numerical solutions for this non-Markov system, therefore we collected our performance measures through simulation. We are able to observe many of the characteristics found in measurement studies. The results are compared to another ATM queueing system with an autoregressive arrival process.
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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