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.
Chaos, chaotic maps, Hurst exponent, self-similarity, traffic modeling in computer networks.
Ginno Millán, 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. https://doi.org/10.24846/v19i1y201007