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Linear Algebra, Markov Chains, and Queueing Models

  • Carl D. Meyer
  • Robert J. Plemmons

Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 48)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Perturbation Theory and Error Analysis

  3. Iterative Methods

    1. François Bonhoure, Yves Dallery, William J. Stewart
      Pages 71-88
    2. Apostolos Hadjidimos, Robert J. Plemmons
      Pages 111-124
  4. Queueing Theory and Applications

    1. Gianfranco Ciardo, Alex Blakemore, Philip F. Chimento Jr., Jogesh K. Muppala, Kishor S. Trivedi
      Pages 145-191
    2. Winfried K. Grassmann
      Pages 193-204

About these proceedings

Introduction

This IMA Volume in Mathematics and its Applications LINEAR ALGEBRA, MARKOV CHAINS, AND QUEUEING MODELS is based on the proceedings of a workshop which was an integral part of the 1991-92 IMA program on "Applied Linear Algebra". We thank Carl Meyer and R.J. Plemmons for editing the proceedings. We also take this opportunity to thank the National Science Founda­ tion, whose financial support made the workshop possible. A vner Friedman Willard Miller, Jr. xi PREFACE This volume contains some of the lectures given at the workshop Lin­ ear Algebra, Markov Chains, and Queueing Models held January 13-17, 1992, as part of the Year of Applied Linear Algebra at the Institute for Mathematics and its Applications. Markov chains and queueing models play an increasingly important role in the understanding of complex systems such as computer, communi­ cation, and transportation systems. Linear algebra is an indispensable tool in such research, and this volume collects a selection of important papers in this area. The articles contained herein are representative of the underlying purpose of the workshop, which was to bring together practitioners and re­ searchers from the areas of linear algebra, numerical analysis, and queueing theory who share a common interest of analyzing and solving finite state Markov chains. The papers in this volume are grouped into three major categories-perturbation theory and error analysis, iterative methods, and applications regarding queueing models.

Keywords

Matrix algebra linear algebra

Editors and affiliations

  • Carl D. Meyer
    • 1
  • Robert J. Plemmons
    • 2
  1. 1.Mathematics DepartmentNorth Carolina State UniversityRaleighUSA
  2. 2.Department of Mathematics and Computer ScienceWake Forest UniversityWinston-SalemUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-8351-2
  • Copyright Information Springer-Verlag New York 1993
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-8353-6
  • Online ISBN 978-1-4613-8351-2
  • Series Print ISSN 0940-6573
  • Buy this book on publisher's site