Point Process Models of 1/f Noise and Internet Traffic

2005/01/01 by V. Gontis, B. Kaulakys, J. Ruseckas · 2 citations
Business, Management and Accounting · Computer Science · Physics and Astronomy · #Advanced Queuing Theory Analysis #Network Traffic and Congestion Control #Theoretical and Computational Physics #cs.NI

paper · pdf · doi:10.1063/1.1985385

published as AIP Conf. Proc. 776, 144 (2005) 144-149 · 6 pages, 2 figures, CNET2004 Proceedings AIP

openalex publication_date 2005/01/01 · arxiv created 2005/08/31 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

We present a simple model reproducing the long‐range autocorrelations and the power spectrum of the web traffic. The model assumes the traffic as Poisson flow of files with size distributed according to the power‐law. In this model the long‐range autocorrelations are independent of the network properties as well as of inter‐packet time distribution.

Cited by

• Nonlinear stochastic models of noise and power-law distributions
• Modeling scaled processes and 1/fβnoise using nonlinear stochastic differential equations

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