A. P. Kovalevskii, V. A. Topchii, S. G. Foss, “On Stability of a Queueing System with Continuum Branching Fluid Limits”, Probl. Peredachi Inf., 2005, Volume 41, Issue 3,Pages <nobr>76

This article is cited in 6 papers

Communication Network Theory

On Stability of a Queueing System with Continuum Branching Fluid Limits

A. P. Kovalevskii^a, V. A. Topchii^b, S. G. Foss^c

^a Novosibirsk State Technical University
^b Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Science
^c Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: It is known that in many queueing systems fluid limits are deterministic functions. Models and conditions which lead to random fluid limits have not received much attention. This paper is devoted to a study of a queueing network whose fluid limits admit a random and uncountable branching at certain points. Stability conditions for this model are investigated by the use of recent results from the theory of branching processes.

UDC: 621.391.1:621.394.74:519.2

Received: 26.08.2004
Revised: 18.02.2005