Random Walks in Local Dynamics of Network Losses

Details Random Walks in Local Dynamics of Network Losses Random Walks in Local Dynamics of Network Losses

2006-07-28

arxiv.org/abs/cond-mat/0607755v1

Phys. Rev. E 74, 046120 (2006)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 2 figures

Scientific paper

10.1103/PhysRevE.74.046120

We suggest a model for data losses in a single node of a packet-switched network (like the Internet) which reduces to one-dimensional discrete random walks with unusual boundary conditions. The model shows critical behavior with an abrupt transition from exponentially small to finite losses as the data arrival rate increases. The critical point is characterized by strong fluctuations of the loss rate. Although we consider the packet arrival being a Markovian process, the loss rate exhibits non-Markovian power-law correlations in time at the critical point.

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