Big Queues

• Main Authors: Ganesh, Ayalvadi J. (Author, http://id.loc.gov/vocabulary/relators/aut), O'Connell, Neil (http://id.loc.gov/vocabulary/relators/aut), Wischik, Damon J. (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004.
• Edition: 1st ed. 2004.
• Series: Lecture Notes in Mathematics, 1838
• Subjects: Probabilities.; Applied mathematics.; Engineering mathematics.; Probability Theory and Stochastic Processes.; Applications of Mathematics.

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 st...

Table of Contents:

• The single server queue
• Large deviations in Euclidean spaces
• More on the single server queue
• Introduction to abstract large deviations
• Continuous queueing maps
• Large-buffer scalings
• May-flows scalings
• Long range dependence
• Moderate deviations scalings
• Interpretations
• Bibliography
• Index of notation
• Index.