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Small and large time scale analysis of a network traffic model

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Publication:1871985
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DOI10.1023/A:1022894627652zbMath1013.90047OpenAlexW1794910261MaRDI QIDQ1871985

Krishanu Maulik, Sidney I. Resnick

Publication date: 4 May 2003

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022894627652


zbMATH Keywords

weak convergenceself-similarityHausdorff dimensionheavy tailsLévy processlong range dependenceM/G/\(\infty\) queuemultifractaldata networksinfinite source Poisson modeltransmission schedule


Mathematics Subject Classification ID

Queues and service in operations research (90B22)


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The \(M/G/\infty\) system revisited: finiteness, summability, long range dependence, and reverse engineering ⋮ Poisson shot noise traffic model and approximation of significant functionals ⋮ A Long-Range Dependent Model for Network Traffic with Flow-Scale Correlations ⋮ The Poisson aggregation process ⋮ Functional limit theorems for marked Hawkes point measures ⋮ Fast simulation of self-similar and correlated processes ⋮ The Self‐Similar and Multifractal Nature of a Network Traffic Model



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