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Insensitivity results in statistical bandwidth sharing

, , , and . Teletraffic Engineering in the Internet EraProceedings of the International Teletraffic Congress - ITC-I7, volume 4 of Teletraffic Science and Engineering, Elsevier, (2001)
DOI: http://dx.doi.org/10.1016/S1388-3437(01)80116-5

Abstract

We show that statistical bandwidth sharing performance under an assumption of perfect fairness is insensitive to both the flow size distribution and the flow arrival process, given only that session arrivals are Poisson. Observed self-similarity phenomena at packet and flow levels can be explained by the interaction between high level traffic characteristics and the way link bandwidth is shared. We show in particular that long range dependence in the flow arrival process is due to the heavy-tailed nature of the distribution of the number of flows per session.

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