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Document type:
Zeitschriftenaufsatz 
Author(s):
Fasen, V., Samorodnitsky, G 
Title:
A fluid cluster Poisson input process can look like a fractional Brownian motion even in the slow growth aggregation regime 
Abstract:
We show that, contrary to the common wisdom, the cumulative input process in a fluid queue with cluster Poisson arrivals can converge, in the slow growth regime, to a fractional Brownian motion, and not to a Lévy stable motion. This emphasizes the lack of robustness of Lévy stable motions as ”birds-eye” descriptions of the traffic in communication networks. 
Keywords:
cluster Poisson process, fluid queue, fractional Brownian motion, input model, slow growth regime, scaling limit, workload process 
Journal title:
Adv. in Appl. Probab. 
Year:
2009 
Journal volume:
41 
Journal issue:
Pages contribution:
393-427 
Reviewed:
ja 
Language:
en 
Status:
Verlagsversion / published 
Semester:
SS 09 
Format:
Text