Stability of Queueing Networks

École d'Été de Probabilités de Saint-Flour XXXVI - 2006

  • Maury Bramson

Part of the Lecture Notes in Mathematics book series (LNM, volume 1950)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Pages 1-16
  3. Back Matter
    Pages 175-190

About this book

Introduction

Queueing networks constitute a large family of stochastic models, involving jobs that enter a network, compete for service, and eventually leave the network upon completion of service. Since the early 1990s, substantial attention has been devoted to the question of when such networks are stable.

This volume presents a summary of such work. Emphasis is placed on the use of fluid models in showing stability, and on examples of queueing networks that are unstable even when the arrival rate is less than the service rate.

The material of this volume is based on a series of nine lectures given at the Saint-Flour Probability Summer School 2006.
Lectures were also given by Alice Guionnet and Steffen Lauritzen.

Keywords

fluid models multiclass queueing network queueing networks stability

Authors and affiliations

  • Maury Bramson
    • 1
  1. 1.School of MathematicsUniversity of MinnesotaMinnesotaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-68896-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 2008
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-68895-2
  • Online ISBN 978-3-540-68896-9
  • Series Print ISSN 0075-8434
  • About this book
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