Use of alpha-stable self-similar stochastic processes for modeling traffic in broadband networks

Jose R. Gallardo; Dimitrios Makrakis; Luis Orozco-Barbosa

doi:10.1117/12.325872

7 October 1998 Use of alpha-stable self-similar stochastic processes for modeling traffic in broadband networks

Jose R. Gallardo, Dimitrios Makrakis, Luis Orozco-Barbosa

Proceedings Volume 3530, Performance and Control of Network Systems II; (1998) https://doi.org/10.1117/12.325872
Event: Photonics East (ISAM, VVDC, IEMB), 1998, Boston, MA, United States

Abstract

A novel model for simulating aggregate network traffic is proposed. Our model, besides reflecting self-similarity and long-range dependence, it is able to capture the appropriate level of burstiness of different types of traffic by selecting the proper parameters. Different types of self- similar traffic traces are analyzed by estimating their self-similarity coefficient H, as well as the parameters of their marginal distributions. When comparing the real traces with our artificial traces, the agreement, which was evaluated both qualitatively and quantitatively, is better than the achieved with previously proposed models. By analyzing different types of traffic traces, the model is shown to be flexible enough to be applied to simulate a variety of communications scenarios. A queue with our proposed traffic as input is analyzed. A proof of convergence of aggregate traffic to alpha-stable processes is also included, as well as the conditions under which the Gaussian assumption is appropriate.

Citation Download Citation

Jose R. Gallardo, Dimitrios Makrakis, and Luis Orozco-Barbosa "Use of alpha-stable self-similar stochastic processes for modeling traffic in broadband networks", Proc. SPIE 3530, Performance and Control of Network Systems II, (7 October 1998); https://doi.org/10.1117/12.325872

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