Lecture Notes in Mathematics

Big Queues

Authors: Ganesh, Ayalvadi J., O'Connell, Neil, Wischik, Damon J.

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About this book

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.

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.

Table of contents (11 chapters)

  • 1. The Single Server Queue

    Ganesh, Ayalvadi (et al.)

    Pages 1-21

    Preview Buy Chapter 30,19 €
  • 2. Large Deviations in Euclidean Spaces

    Ganesh, Ayalvadi (et al.)

    Pages 23-45

    Preview Buy Chapter 30,19 €
  • 3. More on the Single Server Queue

    Ganesh, Ayalvadi (et al.)

    Pages 47-55

    Preview Buy Chapter 30,19 €
  • 4. Introduction to Abstract Large Deviations

    Ganesh, Ayalvadi (et al.)

    Pages 57-76

    Preview Buy Chapter 30,19 €
  • 5. Continuous Queueing Maps

    Ganesh, Ayalvadi (et al.)

    Pages 77-104

    Preview Buy Chapter 30,19 €

Buy this book

eBook 35,69 €
price for Spain (gross)
  • ISBN 978-3-540-39889-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 46,75 €
price for Spain (gross)
  • ISBN 978-3-540-20912-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Big Queues
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1838
Copyright
2004
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-39889-9
DOI
10.1007/978-3-540-39889-9
Softcover ISBN
978-3-540-20912-6
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XI, 260
Topics