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

Auteur: Ganesh, Ayalvadi (1967-) - AuteurCo-auteur: O'Connell, Neil (1968-) - Auteur ; Wischik, Damon (1974-) - AuteurType de document: Livre numériqueCollection: Lecture notes in mathematics, (Online) ; 1838Langue: anglaisÉditeur: Berlin : Springer, 2004 ISBN: 9783540209126 Note: 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) Sujets MSC: 60K25 Probability theory and stochastic processes -- Special processes -- Queueing theory
60F10 Probability theory and stochastic processes -- Limit theorems -- Large deviations
90B22 Operations research, mathematical programming -- Operations research and management science -- Queues and service
En-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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