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Abstract
We introduce a continuum model describing data losses in a single node of a packet-switched network (like the Internet) which preserves the discrete nature of the data loss process. By construction, the model has critical behavior with a sharp transition from exponentially small to finite losses with increasing data arrival rate. We show that such a model exhibits strong fluctuations in the loss rate at the critical point and non-Markovian power-law correlations in time, in spite of the Markovian character of the data arrival process. The continuum model allows for rather general incoming data packet distributions and can be naturally generalized to consider the buffer server idleness statistics.
Original language | English |
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Article number | 046115 |
Journal | Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) |
Volume | 77 |
Issue number | 4 |
Early online date | 1 Apr 2008 |
DOIs | |
Publication status | Published - 1 Apr 2008 |
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Dive into the research topics of 'Temporal correlations of local network losses'. Together they form a unique fingerprint.Projects
- 1 Finished
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Modelling Data Loss in Large Packet-Switched Communication Networks (Has GLGL Link)
Engineering & Physical Science Research Council
1/10/04 → 31/01/08
Project: Research Councils