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© 2004

Big Queues

  • Authors
Book

Part of the Lecture Notes in Mathematics book series (LNM, volume 1838)

Table of contents

  1. Front Matter
    Pages I-XI
  2. Ayalvadi Ganesh, Neil O’Connell, Damon Wischik
    Pages 1-21
  3. Ayalvadi Ganesh, Neil O’Connell, Damon Wischik
    Pages 23-45
  4. Ayalvadi Ganesh, Neil O’Connell, Damon Wischik
    Pages 47-55
  5. Ayalvadi Ganesh, Neil O’Connell, Damon Wischik
    Pages 57-76
  6. Ayalvadi Ganesh, Neil O’Connell, Damon Wischik
    Pages 77-104
  7. Ayalvadi Ganesh, Neil O’Connell, Damon Wischik
    Pages 105-150
  8. Ayalvadi Ganesh, Neil O’Connell, Damon Wischik
    Pages 151-181
  9. Ayalvadi Ganesh, Neil O’Connell, Damon Wischik
    Pages 183-198
  10. Ayalvadi Ganesh, Neil O’Connell, Damon Wischik
    Pages 199-209
  11. Ayalvadi Ganesh, Neil O’Connell, Damon Wischik
    Pages 211-238
  12. Ayalvadi Ganesh, Neil O’Connell, Damon Wischik
    Pages 239-248
  13. Back Matter
    Pages 249-254

About this book

Introduction

Big Queues aims to give a simple and elegant account of how large deviations theory can be applied to queueing problems. Large deviations theory is a collection of powerful results and general techniques for studying rare events, and has been applied to queueing problems in a variety of ways. The strengths of large deviations theory are these: it is powerful enough that one can answer many questions which are hard to answer otherwise, and it is general enough that one can draw broad conclusions without relying on special case calculations.

Keywords

Power Queues Rang applied probability large deviations

About the authors

A. Ganesh: I graduated from the Indian Institute of Technology, Madras, in 1988. I received my MS and PhD in Electrical Engineering from Cornell University in 1991 and 1995 respectively. My PhD thesis was on the use of large deviation techniques in queueing theory. I worked at Edinburgh University, Birkbeck College, London and Hewlett-Packard's Basic Research Institute in Mathematical Sciences (BRIMS) before joining Microsoft Research in March 1999. I am a Fellow of King's College, Cambridge.

Neil O'Connell: BA (Gold Medal) (1989) and MSc in Statistics (1990) from Trinity College Dublin. PhD in Statistics (1993) from University of California, Berkeley. Postdocs at Edinburgh University and Dublin Institure for Advanced Studies, then a University Lecturer in Statistics at Trinity College Dublin, then a visiting professor at Dublin Institute for Advanced Studies. Lead researcher at BRIMS (Basic Research Institute in the Mathematical Sciences, at Hewkett-Packard Labs in Bristol) from its inception (1994-2000). Now a lecturer at Warwick University. Neil has received three EPSRC CASE awards, and an HP patent award.

Damon Wischik: BA (1995) in Mathematics at Cambridge, followed by a PhD (1999). Currently a Research Fellow at Trinity College, Cambridge. Spent a year as a postdoc in the Electrical Engineering department at Stanford University.

Bibliographic information

  • Book Title Big Queues
  • Authors Ayalvadi J. Ganesh
    Neil O'Connell
    Damon J. Wischik
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title LNM
  • DOI https://doi.org/10.1007/978-3-540-39889-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-20912-6
  • eBook ISBN 978-3-540-39889-9
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages XI, 260
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Probability Theory and Stochastic Processes
    Applications of Mathematics
  • Buy this book on publisher's site
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