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Proceedings ArticleDOI

Capturing the complete multifractal characteristics of network traffic

TLDR
The model is a combination of a multiplicative cascade with an independent lognormal process that has all the important properties observed in data traffic including long-range dependence, multifractality and lognormality and is flexible enough to capture the complete multifractal characteristics of data traffic.
Abstract
We propose a new multifractal traffic model for network traffic. The model is a combination of a multiplicative cascade with an independent lognormal process. We show that the model has all the important properties observed in data traffic including long-range dependence (LRD), multifractality and lognormality. We also demonstrate that the model is flexible enough to capture the complete multifractal characteristics of data traffic including both the scaling function and the moment factor. On the other hand, we argue that the model is simple from practical point of view having only three parameters. Practical applications for measured data traffic and validation of the model with queueing performance evaluation are also presented.

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Citations
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Journal ArticleDOI

Queueing performance estimation for general multifractal traffic

TL;DR: An approximation for the tail asymptotics in an infinite capacity single server queue serviced at a constant rate driven by general multifractal input process is presented and it is shown that in the special and important case of the monofractal fractional Brownian motion input traffic it gives the well-known Weibullian tail.
Journal ArticleDOI

An admission control approach for multifractal network traffic flows using effective envelopes

TL;DR: This paper mathematically determines the variance of the aggregated traffic processes as well as their wavelet energy across time scales, considering a multiplicative cascade based multifractal model for the network traffic traces.
Journal ArticleDOI

Adaptive fuzzy flow rate control considering multifractal traffic modeling and 5G communications.

TL;DR: Comparisons with other predictive control schemes in the literature prove the efficiency of the adaptive GOBF-fuzzy based control in enhancing the performance of the system downlink as well as guaranteeing some QoS parameters.
Journal ArticleDOI

An adaptive fuzzy model using orthonormal basis functions based on multifractal characteristics applied to network traffic control

TL;DR: Comparisons to other predictive control schemes prove the efficiency of the proposed adaptive OBF-fuzzy based control and training algorithm and propose a predictive flow control scheme for broadband networks.
Proceedings ArticleDOI

Queueing analysis for multifractal traffic through network calculus and global scaling parameter

TL;DR: The proposed byte loss probability bound was shown to be tighter than that given by the large deviations theory and the performance bound estimation approach is evaluated by simulations with Internet and Ethernet traffic traces, verifying its efficiency.
References
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Journal ArticleDOI

On the self-similar nature of Ethernet traffic (extended version)

TL;DR: It is demonstrated that Ethernet LAN traffic is statistically self-similar, that none of the commonly used traffic models is able to capture this fractal-like behavior, and that such behavior has serious implications for the design, control, and analysis of high-speed, cell-based networks.
Book

Statistics for long-memory processes

TL;DR: Theorems of Stationary Processes with Long Memory Limit Theorems and Estimations of Long Memory-Heuristic Approaches, Forecasting Regression Goodness of Fit Tests, and Robust Estimation of Long memory estimates are presented.
Journal ArticleDOI

A storage model with self-similar input

Ilkka Norros
- 01 Sep 1994 - 
TL;DR: A relation coupling together the storage requirement, the achievable utilization and the output rate is derived and a lower bound for the complementary distribution function of the storage level is given.
Journal ArticleDOI

A multifractal wavelet model with application to network traffic

TL;DR: A new multiscale modeling framework for characterizing positive-valued data with long-range-dependent correlations (1/f noise) using the Haar wavelet transform and a special multiplicative structure on the wavelet and scaling coefficients to ensure positive results, which provides a rapid O(N) cascade algorithm for synthesizing N-point data sets.
Proceedings ArticleDOI

Data networks as cascades: investigating the multifractal nature of Internet WAN traffic

TL;DR: A simple construction based on cascades that allows for a plausible physical explanation of the observed multifractal scaling behavior of data traffic and suggests that the underlying multiplicative structure is a traffic invariant for WAN traffic that co-exists with self-similarity is provided.
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