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Document type:
Zeitschriftenaufsatz 
Author(s):
Fasen, V. 
Title:
Modeling network traffic by a cluster Poisson input process with heavy and light-tailed file sizes 
Abstract:
We consider a cluster Poisson model with heavy-tailed interarrival times and cluster sizes as a generalization of an infinite source Poisson model where the file sizes have a regularly varying tail distribution function or a finite second moment. One result is that this model reflects long range dependence of teletraffic data. We show that depending on the heaviness of the file sizes, the interarrival times and the cluster sizes we have to distinguish different growths rates for the time scale o...    »
 
Keywords:
cluster Poisson model, covariance function, cumulative input process, fluid queue, fractional Brownian motion, heavy tails, input model, long range dependence, self-similarity, stable Lévy motion, regular variation, scaling, teletraffic 
Journal title:
Queueing systems 
Year:
2010 
Journal volume:
66 
Journal issue:
Pages contribution:
313-350 
Reviewed:
ja 
Language:
en 
Status:
Verlagsversion / published 
TUM Institution:
Lehrstuhl für Mathematische Statistik 
Format:
Text