03253nam 22006735 450 991014461940332120200701214958.03-540-39889-910.1007/978-3-540-39889-9(CKB)1000000000230983(SSID)ssj0000321599(PQKBManifestationID)12116349(PQKBTitleCode)TC0000321599(PQKBWorkID)10279767(PQKB)11387256(DE-He213)978-3-540-39889-9(MiAaPQ)EBC5585738(Au-PeEL)EBL5585738(OCoLC)54510703(PPN)155212702(EXLCZ)99100000000023098320121227d2004 u| 0engurnn|008mamaatxtccrBig Queues[electronic resource] /by Ayalvadi J. Ganesh, Neil O'Connell, Damon J. Wischik1st ed. 2004.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2004.1 online resource (XI, 260 p.) Lecture Notes in Mathematics,0075-8434 ;1838Bibliographic Level Mode of Issuance: Monograph3-540-20912-3 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.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.Lecture Notes in Mathematics,0075-8434 ;1838ProbabilitiesApplied mathematicsEngineering mathematicsProbability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Applications of Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M13003Probabilities.Applied mathematics.Engineering mathematics.Probability Theory and Stochastic Processes.Applications of Mathematics.519.8/2510 sGanesh Ayalvadi Jauthttp://id.loc.gov/vocabulary/relators/aut1063948O'Connell Neilauthttp://id.loc.gov/vocabulary/relators/autWischik Damon Jauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910144619403321Big Queues2535438UNINA