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Universitext

Queues and Lévy Fluctuation Theory

Authors: Debicki, Krzysztof, Mandjes, Michel

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  • Combines Lévy-based fluctuation theory and queueing theory
  • Studies the possibilities of fluctuation-theoretic elements and the connection to queues
  • Applicable for both an applied- and a theory-oriented audience
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eBook $54.99
price for Mexico (gross)
  • ISBN 978-3-319-20693-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for Mexico
  • ISBN 978-3-319-20692-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

The book provides an extensive introduction to queueing models driven by Lévy-processes as well as a systematic account of the literature on Lévy-driven queues. The objective is to make the reader familiar with the wide set of probabilistic techniques that have been developed over the past decades, including transform-based techniques, martingales, rate-conservation arguments, change-of-measure, importance sampling, and large deviations. On the application side, it demonstrates how Lévy traffic models arise when modelling current queueing-type systems (as communication networks) and includes applications to finance.

Queues and Lévy Fluctuation Theory will appeal to postgraduate students and researchers in mathematics, computer science, and electrical engineering. Basic prerequisites are probability theory and stochastic processes.

About the authors

Krzysztof Dębicki is a professor at the University of Wrocław, Poland. His research interests lie in extreme value analysis of stochastic processes and their applications in risk and queueing theory. His work is focused on extremes and boundary crossing probabilities of Gaussian and Lévy processes, limit theorems and stochastic networks. He serves as an associate editor of Queueing Systems and Probability and Mathematical Statistics.

Michel Mandjes is a professor at the University of Amsterdam, the Netherlands; he is also part-time with Eurandom and CWI; he previously worked at Bell Labs (Murray Hill), and had a sabbatical at Stanford. His research focuses on queueing theory and stochastic process analysis, with operations-research-type applications. He is author of the book Large Deviations for Gaussian Queues. He serves as an associate editor of Queueing Systems, Stochastic Systems, Stochastic Models, and Advances in Applied Probability / Journal of Applied Probability.

Reviews

“The book presents, often in summary fashion, virtually all of the known results on Lévy-driven queues, quite a few of them obtained by the authors of this book, and thus it is ideal for a researcher who would like to enter this area. … I found the sketchy treatment of many results extremely useful and motivating. The list of references is complete, and a small number of useful exercises are included at the end of each chapter.” (Michael A. Zazanis, Mathematical Reviews, May, 2017)

Table of contents (17 chapters)

Table of contents (17 chapters)

Buy this book

eBook $54.99
price for Mexico (gross)
  • ISBN 978-3-319-20693-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for Mexico
  • ISBN 978-3-319-20692-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Queues and Lévy Fluctuation Theory
Authors
Series Title
Universitext
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-20693-6
DOI
10.1007/978-3-319-20693-6
Softcover ISBN
978-3-319-20692-9
Series ISSN
0172-5939
Edition Number
1
Number of Pages
XI, 255
Number of Illustrations
12 b/w illustrations
Topics