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August 1999 A stable queueing network with unstable fluid model
Maury Bramson
Ann. Appl. Probab. 9(3): 818-853 (August 1999). DOI: 10.1214/aoap/1029962815

Abstract

Fluid models have become a standard tool for demonstrating stability for queueing networks. It is presently not known, however, when the stability of a fluid model follows from that of the corresponding queueing network. We present an example of a queueing network where such stability does not, in fact, follow. This example also shows that the behavior of the fluid limits and the fluid model solutions for the same queueing network can differ considerably from one another.

Citation

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Maury Bramson. "A stable queueing network with unstable fluid model." Ann. Appl. Probab. 9 (3) 818 - 853, August 1999. https://doi.org/10.1214/aoap/1029962815

Information

Published: August 1999
First available in Project Euclid: 21 August 2002

zbMATH: 0964.60082
MathSciNet: MR1722284
Digital Object Identifier: 10.1214/aoap/1029962815

Subjects:
Primary: 60K25, 68M20, 90B22

Rights: Copyright © 1999 Institute of Mathematical Statistics

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Vol.9 • No. 3 • August 1999
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