Temporal correlations of local network losses

Alexander Stepanenko, Constantinos Constantinou, Igor Yurkevich, Igor Lerner

Research output: Contribution to journalArticle

2 Citations (Scopus)


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 languageEnglish
Article number046115
JournalPhysical Review E (Statistical, Nonlinear, and Soft Matter Physics)
Issue number4
Early online date1 Apr 2008
Publication statusPublished - 1 Apr 2008


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