LEADER 03226nam 22006735 450 001 9910144619403321 005 20200701214958.0 010 $a3-540-39889-9 024 7 $a10.1007/978-3-540-39889-9 035 $a(CKB)1000000000230983 035 $a(SSID)ssj0000321599 035 $a(PQKBManifestationID)12116349 035 $a(PQKBTitleCode)TC0000321599 035 $a(PQKBWorkID)10279767 035 $a(PQKB)11387256 035 $a(DE-He213)978-3-540-39889-9 035 $a(MiAaPQ)EBC5585738 035 $a(Au-PeEL)EBL5585738 035 $a(OCoLC)54510703 035 $a(PPN)155212702 035 $a(EXLCZ)991000000000230983 100 $a20121227d2004 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aBig Queues /$fby Ayalvadi J. Ganesh, Neil O'Connell, Damon J. Wischik 205 $a1st ed. 2004. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2004. 215 $a1 online resource (XI, 260 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1838 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-20912-3 327 $aThe 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. 330 $aBig Queues aims to give a simple and elegant account of how large deviations theory can be applied to queueing problems. Large deviations theory is a collection of powerful results and general techniques for studying rare events, and has been applied to queueing problems in a variety of ways. The strengths of large deviations theory are these: it is powerful enough that one can answer many questions which are hard to answer otherwise, and it is general enough that one can draw broad conclusions without relying on special case calculations. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1838 606 $aProbabilities 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 615 0$aProbabilities. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 14$aProbability Theory and Stochastic Processes. 615 24$aApplications of Mathematics. 676 $a519.8/2 676 $a510 s 700 $aGanesh$b Ayalvadi J$4aut$4http://id.loc.gov/vocabulary/relators/aut$01063948 702 $aO'Connell$b Neil$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aWischik$b Damon J$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910144619403321 996 $aBig Queues$92535438 997 $aUNINA