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We suggest a model for data losses in a single node (memory buffer) of a packet-switched network (like the Internet) which reduces to one-dimensional discrete random walks with unusual boundary conditions. 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 for a finite-capacity buffer at the critical point the loss rate exhibits strong fluctuations and non-Markovian power-law correlations in time, in spite of the Markovian character of the data arrival process.
|Number of pages||1|
|Journal||Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)|
|Publication status||Published - 1 Oct 2006|
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- 1 Finished
1/10/04 → 31/01/08
Project: Research Councils