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Informatika i Ee Primeneniya [Informatics and its Applications], 2012, Volume 6, Issue 3, Pages 59–63
(Mi ia216)
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This article is cited in 3 scientific papers (total in 3 papers)
Papers to the reports presented at the XXIX International Seminar on Stability Problems for Stochastic Models (Svetlogorsk Kaliningrad region, Russia, 10–16 October 2011)
Fractional Levy motion with dependent increments and its application to network traffic modeling
C. De Nicolaa, Yu. S. Khokhlovb, M. Paganoc, O. I. Sidorovad a University of Salerno
b Peoples Friendship University of Russia, Moscow
c University of Pisa
d Tver State University
Abstract:
Since the beginning of the 1990s, accurate traffic measurements carried out in different network scenarios highlighted that Internet traffic exhibits strong irregularities (burstiness) both in terms of extreme variability and long-term correlations. These features, which cannot be captured in a parsimonious way by traditional Markovian models, have a deep impact on the network performance and lead to the introduction of $\alpha$-stable distribution and self-similar processes into the network traffic modeling. In this paper, a generalization of fractional Brownian motion (fBm), which is able to capture both above-mentioned features of the real traffic, is considered.
Keywords:
fractional Brownian motion; $\alpha$-stable subordinator; self-similar processes; buffer overflow probability.
Citation:
C. De Nicola, Yu. S. Khokhlov, M. Pagano, O. I. Sidorova, “Fractional Levy motion with dependent increments and its application to network traffic modeling”, Inform. Primen., 6:3 (2012), 59–63
Linking options:
https://www.mathnet.ru/eng/ia216 https://www.mathnet.ru/eng/ia/v6/i3/p59
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Abstract page: | 321 | Full-text PDF : | 100 | References: | 31 | First page: | 1 |
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