Big queues / Ayalvadi Ganesh, Neil O'Connell, Damon Wischik

Auteur principal : Ganesh, Ayalvadi, 1967-, AuteurCo-auteur : O'Connell, Neil, 1968-, Auteur • Wischik, Damon, 1974-, AuteurType de document : Livre numériqueCollection : Lecture notes in mathematics, 1838Langue : anglais.Éditeur : Berlin : Springer, 2004ISBN: 9783540209126.ISSN: 1617-9692.Sujet MSC : 60K25, Probability theory and stochastic processes - Special processes, Queueing theory
60F10, Limit theorems in probability theory, Large deviations
90B22, Operations research and management science, Queues and service in operations researchEn-ligne : Springerlink | Zentralblatt | MathSciNet
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The book presents “a certain point of view regarding the application of large deviation theory to queueing problems”. With this end, it uses the “continuous mapping” approach which helps to give an introduction to rare-scaling phenomena in queueing theory. The book consists of the following chapters: 1. The single server queue. 2. Large deviations in Euclidean spaces. 3. More on the single server queue. 4. Introduction to abstract large deviations. 5. Continuous queueing maps. 6. Large-buffer scalings. 7. Many-flows scalings. 8. Long range dependence. 9. Moderate deviations scalings. 10. Interpretations. (Zentralblatt)

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