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Big Queues

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

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Table of contents (11 chapters)

  1. Front Matter

    Pages I-XI
  2. 1. The Single Server Queue

    • Ayalvadi Ganesh, Neil O’Connell, Damon Wischik
    Pages 1-21
  3. 2. Large Deviations in Euclidean Spaces

    • Ayalvadi Ganesh, Neil O’Connell, Damon Wischik
    Pages 23-45
  4. 3. More on the Single Server Queue

    • Ayalvadi Ganesh, Neil O’Connell, Damon Wischik
    Pages 47-55
  5. 4. Introduction to Abstract Large Deviations

    • Ayalvadi Ganesh, Neil O’Connell, Damon Wischik
    Pages 57-76
  6. 5. Continuous Queueing Maps

    • Ayalvadi Ganesh, Neil O’Connell, Damon Wischik
    Pages 77-104
  7. 6. Large-Buffer Scalings

    • Ayalvadi Ganesh, Neil O’Connell, Damon Wischik
    Pages 105-150
  8. 7. Many-Flows Scalings

    • Ayalvadi Ganesh, Neil O’Connell, Damon Wischik
    Pages 151-181
  9. 8. Long Range Dependence

    • Ayalvadi Ganesh, Neil O’Connell, Damon Wischik
    Pages 183-198
  10. 9. Moderate Deviations Scalings

    • Ayalvadi Ganesh, Neil O’Connell, Damon Wischik
    Pages 199-209
  11. 10. Interpretations

    • Ayalvadi Ganesh, Neil O’Connell, Damon Wischik
    Pages 211-238
  12. Bibliography

    • Ayalvadi Ganesh, Neil O’Connell, Damon Wischik
    Pages 239-248
  13. Back Matter

    Pages 249-254

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.

Bibliographic Information

  • Book Title: Big Queues

  • Authors: Ayalvadi Ganesh, Neil O’Connell, Damon Wischik

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/978-3-540-39889-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2004

  • Softcover ISBN: 978-3-540-20912-6Published: 04 March 2004

  • eBook ISBN: 978-3-540-39889-9Published: 28 January 2004

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XI, 260

  • Topics: Probability Theory and Stochastic Processes, Applications of Mathematics

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access