The Self‐Similar and Multifractal Nature of a Network Traffic Model

DOI10.1081/STM-120025404zbMath1138.60316OpenAlexW2032911928MaRDI QIDQ4431310

Krishanu Maulik, Sidney I. Resnick

Publication date: 19 October 2003

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/stm-120025404

Mathematics Subject Classification ID

Traffic problems in operations research (90B20) Self-similar stochastic processes (60G18)

Related Items (5)

On the use of bivariate Mellin transform in bivariate random scaling and some applications ⋮ Poisson shot noise traffic model and approximation of significant functionals ⋮ Reduced long-range dependence combining Poisson bursts with on-off sources ⋮ The influence of dependence on data network models ⋮ Data network models of burstiness

Cites Work

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• Self-similarity in high-speed packet traffic: analysis and modeling of Ethernet traffic measurements
• The multifractal nature of Lévy processes
• Heavy tail modeling and teletraffic data. (With discussions and rejoinder)
• Small and large time scale analysis of a network traffic model
• Is network traffic approximated by stable Lévy motion or fractional Brownian motion?
• Stochastic-Process Limits
• On Interchanging Limits and Integrals
• Point processes, regular variation and weak convergence
• Self-Affine Processes and the Ergodic Theorem
• Weak convergence of high-speed network traffic models
• Scaling analysis of conservative cascades, with applications to network traffic
• Asymptotic independence and a network traffic model
• The Mean Values of Certain Dirichlet Series, II

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