2010/08/14 by Clément Dombry, Dombry, Clément, Ingemar Kaj +1
Business, Management and Accounting · Computer Science · Mathematics · Physics and Astronomy · #Advanced Queuing Theory Analysis #Complex Network Analysis Techniques #FOS: Mathematics #Network Traffic and Congestion Control #Probability (math.PR) #math.PR
paper · pdf · doi:10.48550/arxiv.1008.2472
14p
arxiv created 2010/08/14 · openalex publication_date 2010/08/14 · arxiv updated 2010/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
The result provided in this paper helps complete a unified picture of the scaling behavior in heavy-tailed stochastic models for transmission of packet traffic on high-speed communication links. Popular models include infinite source Poisson models, models based on aggregated renewal sequences, and models built from aggregated on-off sources. The versions of these models with finite variance transmission rate share the following pattern: if the sources connect at a fast rate over time the cumulative statistical fluctuations are fractional Brownian motion, if the connection rate is slow the traffic fluctuations are described by a stable Lévy process, while the limiting fluctuations for the intermediate scaling regime are given by fractional Poisson motion.