Discrete-Event Control of Stochastic Networks: Multimodularity and Regularity

  • Authors
  • Eitan Altman
  • Bruno Gaujal
  • Arie Hordijk

Part of the Lecture Notes in Mathematics book series (LNM, volume 1829)

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Eitan Altman, Bruno Gaujal, Arie Hordijk
    Pages 1-6
  3. Eitan Altman, Bruno Gaujal, Arie Hordijk
    Pages 11-38
  4. Eitan Altman, Bruno Gaujal, Arie Hordijk
    Pages 39-54
  5. Eitan Altman, Bruno Gaujal, Arie Hordijk
    Pages 55-74
  6. Eitan Altman, Bruno Gaujal, Arie Hordijk
    Pages 79-103
  7. Eitan Altman, Bruno Gaujal, Arie Hordijk
    Pages 105-109
  8. Eitan Altman, Bruno Gaujal, Arie Hordijk
    Pages 111-118
  9. Eitan Altman, Bruno Gaujal, Arie Hordijk
    Pages 119-149
  10. Eitan Altman, Bruno Gaujal, Arie Hordijk
    Pages 155-181
  11. Eitan Altman, Bruno Gaujal, Arie Hordijk
    Pages 183-204
  12. Eitan Altman, Bruno Gaujal, Arie Hordijk
    Pages 205-223
  13. Eitan Altman, Bruno Gaujal, Arie Hordijk
    Pages 229-241
  14. Eitan Altman, Bruno Gaujal, Arie Hordijk
    Pages 243-259
  15. Eitan Altman, Bruno Gaujal, Arie Hordijk
    Pages 261-282
  16. Eitan Altman, Bruno Gaujal, Arie Hordijk
    Pages 283-304
  17. Eitan Altman, Bruno Gaujal, Arie Hordijk
    Pages 305-310
  18. Back Matter
    Pages 311-313

About this book

Introduction

Opening new directions in research in both discrete event dynamic systems as well as in stochastic control, this volume focuses on a wide class of control and of optimization problems over sequences of integer numbers. This is a counterpart of convex optimization in the setting of discrete optimization. The theory developed is applied to the control of stochastic discrete-event dynamic systems. Some applications are admission, routing, service allocation and vacation control in queueing networks. Pure and applied mathematicians will enjoy reading the book since it brings together many disciplines in mathematics: combinatorics, stochastic processes, stochastic control and optimization, discrete event dynamic systems, algebra.

Keywords

Stochastic processes combinatorics control of queueing systems discrete event systems multimodularity optimal control with no information optimization stochastic network stochastic process

Bibliographic information

  • DOI https://doi.org/10.1007/b93837
  • Copyright Information Springer-Verlag Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-20358-2
  • Online ISBN 978-3-540-39705-2
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book