This article is cited in 2 papers

Probabilistic Possibilistic Models

Upper and lower bounds for the probability of packet loss and the probability of buffer overflow in a model with heterogeneous sources

O. I. Sidorova

Tver State University, Tver

Abstract: In the paper we consider asymptotical bounds for the packet loss probability in the model $Y/D/1/h/d$ with some special service dicipline $d\in D(h)$ presented by Tsybakov B. and his co-authors. We are analyzing the case when distributions of the sources's active period lengthes belongs to the set consisting of finite number of different distributions and deriving conditions under which each distribution influence nontrivially on packet loss probability.

Keywords: buffer overflow probability, heavy-tailed distribution, rare event's probability estimation.

UDC: 519.216

Received: 14.11.2008
Revised: 08.12.2008

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