A Simple Model for the Generation of LRD Self-similar Traffic Using Piecewise Affine Chaotic One-dimensional Maps

Ginno MILLAN
Departamento de Ingeniería Eléctrica, Universidad de Santiago de Chile
Av. Ecuador 3519, Estación Central, Santiago, Chile

Héctor KASCHEL
Departamento de Ingeniería Eléctrica, Universidad de Santiago de Chile
Av. Ecuador 3519, Estación Central, Santiago, Chile

Gastón LEFRANC
Escuela de Ingeniería Eléctrica, Pontificia Universidad Católica de Valparaíso
Av. Brasil 2147, Valparaíso, Chile

Abstract: 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. Based on the disaggregation of the temporal series generated, a valid explanation of the behavior of the values of Hurst’s exponents is proposed and the feasibility of their control from the parameters of the proposed model is shown.

Keywords: Chaos, chaotic maps, Hurst exponent, self-similarity, traffic modeling in computer networks.

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CITE THIS PAPER AS:
Ginno MILLAN, Héctor KASCHEL, Gastón LEFRANC, A Simple Model for the Generation of LRD Self-similar Traffic Using Piecewise Affine Chaotic One-dimensional Maps, Studies in Informatics and Control, ISSN 1220-1766, vol. 19 (1), pp. 67-78, 2010.