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pro vyhledávání: '"Millán, G."'
A novel constructive mathematical model based on the multifractal formalism in order to accurately characterizing the localized fluctuations present in the course of traffic flows today high-speed computer networks is presented. The proposed model ha
Externí odkaz:
http://arxiv.org/abs/2106.14666
Autor:
Millán, G.
Developing of an effective flow control algorithm to avoid congestion is a hot topic in computer network society. This document gives a mathematical model for general network at the beginning, and then discrete control theory is proposed as a key too
Externí odkaz:
http://arxiv.org/abs/2107.00997
Fractal behavior and long-range dependence are widely observed in measurements and characterization of traffic flow in high-speed computer networks of different technologies and coverage levels. This paper presents the results obtained when applying
Externí odkaz:
http://arxiv.org/abs/2107.05484
Autor:
Millán, G.
It is well-known that fractal signals appear in many fields of science. LAN and WWW traces, wireless traffic, VBR resources, etc. are among the ones with this behavior in computer networks traffic flows. An important question in these applications is
Externí odkaz:
http://arxiv.org/abs/2105.02920
Autor:
Millán, G.
A qualitative and quantitative extension of the chaotic models used to generate self-similar traffic with long-range dependence (LRD) is presented by means of the formulation of a model that considers the use of piecewise affine one-dimensional maps.
Externí odkaz:
http://arxiv.org/abs/2104.04135
Autor:
Millán, G.
In this paper it presents, develops and discusses the existence of a process with long scope memory structure, representing of the independence between the degree of randomness of the traffic generated by the sources and flow pattern exhibited by the
Externí odkaz:
http://arxiv.org/abs/2103.08592
Autor:
Millán, G., Lefranc, G.
This paper presents a simple technique of multifractal traffic modeling. It proposes a method of fitting model to a given traffic trace. A comparison of simulation results obtained for an exemplary trace, multifractal model and Markov Modulated Poiss
Externí odkaz:
http://arxiv.org/abs/2103.06946
Autor:
Millán, G.
There is much confusion in the literature over Hurst exponent (H). The purpose of this paper is to illustrate the difference between fractional Brownian motion (fBm) on the one hand and Gaussian Markov processes where H is different to 1/2 on the oth
Externí odkaz:
http://arxiv.org/abs/2103.05019
Autor:
Millán, G., Lefranc, G.
In the context of the simulations carried out using a simplified multifractal model that is proposed to give an explanation to the locality phenomenon that appears in the estimation of the Hurst exponent in the second-order stationary series that rep
Externí odkaz:
http://arxiv.org/abs/2103.05183
Autor:
Millán, G.
This article explores the required amount of time series points from a high-speed traffic network to accurately estimate the Hurst exponent. The methodology consists in designing an experiment using estimators that are applied to time series, followe
Externí odkaz:
http://arxiv.org/abs/2103.03984