On the Stability of a Queueing System with Uncountably Branching Fluid Limits

On the Stability of a Queueing System with Uncountably Branching Fluid Limits It is known that in many queueing systems uid limits are deterministic functions. Models and conditions which lead to random uid limits have not received much attention. This paper is devoted to a study of a queueing network whose uid 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

On the Stability of a Queueing System with Uncountably Branching Fluid Limits

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Publisher
Nauka/Interperiodica
Copyright
Copyright © 2005 by MAIK "Nauka/Interperiodica"
Subject
Engineering; Communications Engineering, Networks; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1007/s11122-005-0030-6
Publisher site
See Article on Publisher Site

Abstract

It is known that in many queueing systems uid limits are deterministic functions. Models and conditions which lead to random uid limits have not received much attention. This paper is devoted to a study of a queueing network whose uid 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.

Journal

Problems of Information TransmissionSpringer Journals

Published: Oct 17, 2005

References

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