scholarly journals A generalized multifractal model for self-similar traffic flows in high-speed computer networks

2021 ◽  
Author(s):  
Ginno Millán
Keyword(s):  
Computer Networks ◽  
Network Traffic ◽  
Hurst Exponent ◽  
High Speed ◽  
Second Order ◽  
The Self ◽  
Traffic Flows ◽  
Temporal Series ◽  
Self Similar ◽  
Speed Computer

This paper proposes a new multifractal model with the aim to provide a possible explanation for the locality phenomena to appear in the estimation of the Hurst exponent in stationary second order temporal series, representing the self-similar traffic flows in high-speed computer networks. Analytically it is shown that this phenomenon occurs if the network traffic flows consists of several components whit different Hurst exponents.

scholarly journals A simplified multifractal model for self-similar traffic flows in high-speed computer networks

2021 ◽  
Author(s):  
Ginno Millán
Keyword(s):  
Computer Networks ◽  
Network Flow ◽  
Hurst Exponent ◽  
High Speed ◽  
Second Order ◽  
Traffic Flows ◽  
Temporal Series ◽  
Self Similar ◽  
Speed Computer ◽  
Hurst Exponents

This paper proposes a multifractal model, with the aim of providing a possible explanation for the locality phenomenon that appears in the estimation of the Hurst exponent in stationary second order temporal series representing self-similar traffic flows in current high-speed computer networks. It is shown analytically that this phenomenon occurs if the network flow consists of several components with different Hurst exponents.

scholarly journals A Simplified Multifractal Model for Self-Similar Traffic Flows in High-Speed Computer Networks

2021 ◽  
Author(s):  
Ginno Millán
Keyword(s):  
Computer Networks ◽  
Network Flow ◽  
Hurst Exponent ◽  
High Speed ◽  
Second Order ◽  
Traffic Flows ◽  
Temporal Series ◽  
Self Similar ◽  
Speed Computer ◽  
Hurst Exponents

This paper proposes a multifractal model, with the aim of providing a possible explanation for the locality phenomenon that appears in the estimation of the Hurst exponent in stationary second order temporal series representing self-similar traffic flows in current high-speed computer networks. It is shown analytically that this phenomenon occurs if the network flow consists of several components with different Hurst exponents.

scholarly journals A simplified multifractal model for self-similar traffic flows in high-speed computer networks revisited

2021 ◽  
Author(s):  
Ginno Millán ◽  
G. Lefranc
Keyword(s):  
Computer Networks ◽  
Hurst Exponent ◽  
High Speed ◽  
Second Order ◽  
The Self ◽  
Traffic Flows ◽  
Self Similar ◽  
Speed Computer

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 represent the self-similar traffic flows in high-speed computer networks, its formulation is perfected to reduce the variability in the singularity limits and it is demonstrated through by its wavelet variant that this modification leads to a higher resolution in the interval of interest under study.

scholarly journals Un modelo multifractal simplificado para flujos de tráfico autosimilares

2018 ◽  
pp. 20-25
Keyword(s):  
Computer Networks ◽  
Network Flow ◽  
Hurst Exponent ◽  
High Speed ◽  
The Self ◽  
Traffic Flows ◽  
Self Similarity ◽  
Temporal Series ◽  
Self Similar ◽  
Speed Computer

Un modelo multifractal simplificado para flujos de tráfico autosimilares A simplified multifractal model for self-similar traffic flows Ginno Millán Universidad Católica del Norte, Larrondo 1281, Coquimbo, Chile DOI: https://doi.org/10.33017/RevECIPeru2014.0003/ Resumen Este artículo propone un nuevo modelo multifractal, con el ánimo de proveer una posible explicación al fenómeno de localidad que aparece en la estimación del exponente de Hurst en series temporales estacionarias de segundo orden, representativas de los flujos de tráfico autosimilares en las actuales redes de computadoras de alta velocidad. Analíticamente se demuestra que este fenómeno se presenta cuando los flujos se componen de diversos tipos de tráficos con diferentes exponentes de Hurst. Descriptores: Autosimilitud, exponente de Hurst (H), fenómeno de localidad, multifractales. Abstract This paper proposes a new multifractal model, with the aim to provide a possible explanation to the locality phenomena to appear in the estimation of Hurst exponent in stationary second order temporal series, representing the self-similar traffic flows in high-speed computer networks. Analytically it is shown that this phenomenon occurs if the network flow consists of several components whit different Hurst exponents. Keywords: Self-similarity, Hurst exponent (H), locality phenomena, multifractals.

scholarly journals A Simplified Multifractal Model for Self-Similar Traffic Flows in High-Speed Computer Networks

2021 ◽  
Author(s):  
Ginno Millán
Keyword(s):  
Computer Networks ◽  
Network Flow ◽  
Hurst Exponent ◽  
High Speed ◽  
Second Order ◽  
Traffic Flows ◽  
Temporal Series ◽  
Self Similar ◽  
Speed Computer ◽  
Hurst Exponents

<div>This paper proposes a multifractal model, with the aim of providing a possible explanation for the locality phenomenon that appears in the estimation of the Hurst exponent in stationary second order temporal series representing self-similar traffic flows in current high-speed computer networks. It is shown analytically that this phenomenon occurs if the network flow consists of several components with different Hurst exponents.</div>

scholarly journals A Simplified Multifractal Model for Self-Similar Traffic Flows in High-Speed Computer Networks

2021 ◽  
Author(s):  
Ginno Millán
Keyword(s):  
Computer Networks ◽  
Network Flow ◽  
Hurst Exponent ◽  
High Speed ◽  
Second Order ◽  
Traffic Flows ◽  
Temporal Series ◽  
Self Similar ◽  
Speed Computer ◽  
Hurst Exponents

<div>This paper proposes a multifractal model, with the aim of providing a possible explanation for the locality phenomenon that appears in the estimation of the Hurst exponent in stationary second order temporal series representing self-similar traffic flows in current high-speed computer networks. It is shown analytically that this phenomenon occurs if the network flow consists of several components with different Hurst exponents.</div>

scholarly journals A Simple Chaotic Map Model for Fractal Traffic Flows in High-speed Computer Networks (Extended and Renewed Version)

2021 ◽  
Author(s):  
Ginno Millán
Keyword(s):  
Computer Networks ◽  
Hurst Exponent ◽  
High Speed ◽  
Chaotic Maps ◽  
Chaotic Map ◽  
Traffic Flows ◽  
One Dimensional ◽  
Temporal Series ◽  
Proposed Model ◽  
Speed Computer

This paper presents an extension of the models used to generate fractal traffic flows in high-speed computer networks by means of the formulation of a model that considers the use of one-dimensional chaotic maps. Based on the disaggregation of the temporal series generated, a valid explanation of behavior of the values of Hurst exponent is proposed and the feasibility of their control from the parameters of the proposed model is shown.

scholarly journals A Simple Chaotic Map Model for Fractal Traffic Flows in High-speed Computer Networks

2021 ◽  
Author(s):  
Ginno Millán
Keyword(s):  
Computer Networks ◽  
Hurst Exponent ◽  
High Speed ◽  
Chaotic Maps ◽  
Chaotic Map ◽  
Traffic Flows ◽  
One Dimensional ◽  
Temporal Series ◽  
Proposed Model ◽  
Speed Computer

An extension of the models used to generate fractal traffic flows is presented by means of the formulation of a model that considers the use of one-dimensional chaotic maps. Based on the disaggregation of the temporal series generated by the model, a valid explanation of behavior of the values of Hurst exponent is proposed and the feasibility of their control from the parameters of the proposed model is shown.<br>

scholarly journals A Simple Chaotic Map Model for Fractal Traffic Flows in High-speed Computer Networks

2021 ◽  
Author(s):  
Ginno Millán
Keyword(s):  
Computer Networks ◽  
Hurst Exponent ◽  
High Speed ◽  
Chaotic Maps ◽  
Chaotic Map ◽  
Traffic Flows ◽  
One Dimensional ◽  
Temporal Series ◽  
Proposed Model ◽  
Speed Computer

An extension of the models used to generate fractal traffic flows is presented by means of the formulation of a model that considers the use of one-dimensional chaotic maps. Based on the disaggregation of the temporal series generated by the model, a valid explanation of behavior of the values of Hurst exponent is proposed and the feasibility of their control from the parameters of the proposed model is shown.<br>

scholarly journals A Simple Chaotic Map Model for Fractal Traffic Flows in High-speed Computer Networks (Extended and Renewed Version)

2021 ◽  
Author(s):  
Ginno Millán
Keyword(s):  
Computer Networks ◽  
Hurst Exponent ◽  
High Speed ◽  
Chaotic Maps ◽  
Chaotic Map ◽  
Traffic Flows ◽  
One Dimensional ◽  
Temporal Series ◽  
Proposed Model ◽  
Speed Computer

This paper presents an extension of the models used to generate fractal traffic flows in high-speed computer networks by means of the formulation of a model that considers the use of one-dimensional chaotic maps. Based on the disaggregation of the temporal series generated, a valid explanation of behavior of the values of Hurst exponent is proposed and the feasibility of their control from the parameters of the proposed model is shown.

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