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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | D'Apice, C. Galaktionova, O. Khokhlov, Y. Pagano, M. |
| Copyright Year | 2010 |
| Description | Author affiliation: Department of Mathematical statistics and System Analysis Tver State University, 170100 Zhelybov Street 33, Russia (Khokhlov, Y.) || Department of Information Engineering and Applied Mathematics University of Salerno, Via Ponte don Melillo, 84084 Fisciano, Italy (D'Apice, C.) || Department of Information Engineering, University of Pisa, 56122 Via Caruso 16, Italy (Pagano, M.) || Department of Probability Theory and Mathematical Statistics, People's Friendship University of Russia, 117198 Miklukho-Maklaya str., 6, Moscow, Russia (Galaktionova, O.) |
| Abstract | The paper describes a new class of stochastic processes, which generalizes the concept of self-similarity. This class of processes is suitable for traffic modeling since it permits to take into account the presence of several traffic components with different statistical properties and defines proper conditions for the convergence of the aggregated traffic to suitable limit processes. The main result of the paper is that under adequate normalization conditions the aggregation of heterogeneous flows converges to the sum of two independent processes (α-Stable Levy Motion and Fractional Brownian Motion), able to take into account the self-similar nature of broadband traffic as well is its bursty (i.e., non Gaussian) marginal distribution. |
| Starting Page | 1137 |
| Ending Page | 1140 |
| File Size | 243369 |
| Page Count | 4 |
| File Format | |
| ISBN | 9781424472857 |
| ISSN | 2157023X |
| e-ISBN | 9781424472864 |
| DOI | 10.1109/ICUMT.2010.5676524 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2010-10-18 |
| Publisher Place | Russia |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Self-similar processes Heating Modelling of nonhomogeneous traffic Equations Convergence |
| Content Type | Text |
| Resource Type | Article |
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