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.
Bibliographical note©2006 American Physical Society. Random walks in local dynamics of network losses
I. V. Yurkevich, I. V. Lerner, A. S. Stepanenko, and C. C. Constantinou
Phys. Rev. E 74, 046120 – Published 31 October 2006