A stable queueing network with unstable fluid model

Maury Bramson

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)818-853
Number of pages36
JournalAnnals of Applied Probability
Volume9
Issue number3
DOIs
StatePublished - Aug 1999

Bibliographical note

Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.

Keywords

  • Fluid limits
  • Fluid models
  • Queueing networks

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