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Universal model for collective access patterns in the Internet traffic dynamics: A superstatistical approach

Araik Tamazian (Saint Petersburg State Electrotechnical University), VanDung Nguyen (Saint Petersburg State Electrotechnical University), Oleg A. Markelov (Saint Petersburg State Electrotechnical University), Mikhail I. Bogachev (Saint Petersburg State Electrotechnical University)

Europhysics Letters (EPL)
DOI: 10.1209/0295-5075/115/10008 (Physics and Astronomy)
License: not stated (all rights reserved)

Abstract: We suggest a universal phenomenological description for the collective access patterns in the Internet traffic dynamics both at local and wide area network levels that takes into account erratic fluctuations imposed by cooperative user behaviour. Our description is based on the superstatistical approach and leads to the q -exponential inter-session time and session size distributions that are also in perfect agreement with empirical observations. The validity of the proposed description is confirmed explicitly by the analysis of complete 10-day traffic traces from the WIDE backbone link and from the local campus area network downlink from the Internet Service Provider. Remarkably, the same functional forms have been observed in the historic access patterns from single WWW servers. The suggested approach effectively accounts for the complex interplay of both “calm” and “bursty” user access patterns within a single-model setting. It also provides average sojourn time estimates with reasonable accuracy, as indicated by the queuing system performance simulation, this way largely overcoming the failure of Poisson modelling of the Internet traffic dynamics.

Published on 01 Jul. 2016