FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2002, VOLUME 8, NUMBER 1, PAGES 71-83

A mathematical model of the DQDB protocol

V. G. Konovalov

Abstract

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In this paper we consider a mathematical model of the Distributed Queue Bus (DQDB) protocol intended for data flow control in communication networks. We assume that station's input traffic is a renewal process. The proposed Markov chain is the most adequate model for the DQDB protocol among those already studied in several articles. We derive a positive recurrent condition in the case of two stations.

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