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On self-similar traffic in ATM queues: definitions, overflow probability bound, and cell delay distribution

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2 Author(s)
Tsybakov, B. ; Inst. of Problems of Inf. Transmission, Acad. of Sci., Moscow, Russia ; Georganas, Nicolas D.

Recent traffic measurements in corporate local-area networks (LANs), variable-bit-rate video sources, ISDN control-channels, and other communication systems, have indicated traffic behaviour of self-similar nature. This paper first discusses some definitions and properties of (second-order) self-similarity and gives simpler criteria for it. It then gives a model of self-similar traffic suitable for queuing system analysis of an asynchronous transfer mode (ATM) queue. A lower bound to the overflow probability of a finite ATM buffer is obtained, as also a lower bound to the cell loss probability. Finally, the stationary distribution of the cell delay in an infinite ATM buffer is obtained

Published in:

Networking, IEEE/ACM Transactions on  (Volume:5 ,  Issue: 3 )