1.

Record Nr.

UNISA996466497403316

Autore

Ganesh Ayalvadi J

Titolo

Big Queues [[electronic resource] /] / by Ayalvadi J. Ganesh, Neil O'Connell, Damon J. Wischik

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2004

ISBN

3-540-39889-9

Edizione

[1st ed. 2004.]

Descrizione fisica

1 online resource (XI, 260 p.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 1838

Disciplina

519.8/2

510 s

Soggetti

Probabilities

Applied mathematics

Engineering mathematics

Probability Theory and Stochastic Processes

Applications of Mathematics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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.

Sommario/riassunto

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.