LEADER 03441nam 22006495 450 001 996466379103316 005 20200706000410.0 010 $a3-540-68896-X 024 7 $a10.1007/978-3-540-68896-9 035 $a(CKB)1000000000437224 035 $a(SSID)ssj0000320178 035 $a(PQKBManifestationID)11258303 035 $a(PQKBTitleCode)TC0000320178 035 $a(PQKBWorkID)10343627 035 $a(PQKB)11196821 035 $a(DE-He213)978-3-540-68896-9 035 $a(MiAaPQ)EBC3068596 035 $a(PPN)12705460X 035 $a(EXLCZ)991000000000437224 100 $a20100301d2008 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aStability of Queueing Networks$b[electronic resource] $eÉcole d'Été de Probabilités de Saint-Flour XXXVI-2006 /$fby Maury Bramson 205 $a1st ed. 2008. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2008. 215 $a1 online resource (VIII, 198 p. 20 illus.) 225 1 $aÉcole d'Été de Probabilités de Saint-Flour,$x0721-5363 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-68895-1 320 $aIncludes bibliographical references and index. 327 $aThe Classical Networks -- Instability of Subcritical Queueing Networks -- Stability of Queueing Networks -- Applications and Some Further Theory. 330 $aQueueing networks constitute a large family of stochastic models, involving jobs that enter a network, compete for service, and eventually leave the network upon completion of service. Since the early 1990s, substantial attention has been devoted to the question of when such networks are stable. This volume presents a summary of such work. Emphasis is placed on the use of fluid models in showing stability, and on examples of queueing networks that are unstable even when the arrival rate is less than the service rate. The material of this volume is based on a series of nine lectures given at the Saint-Flour Probability Summer School 2006. Lectures were also given by Alice Guionnet and Steffen Lauritzen. 410 0$aÉcole d'Été de Probabilités de Saint-Flour,$x0721-5363 606 $aProbabilities 606 $aOperations research 606 $aManagement science 606 $aComputer organization 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 606 $aOperations Research, Management Science$3https://scigraph.springernature.com/ontologies/product-market-codes/M26024 606 $aComputer Systems Organization and Communication Networks$3https://scigraph.springernature.com/ontologies/product-market-codes/I13006 615 0$aProbabilities. 615 0$aOperations research. 615 0$aManagement science. 615 0$aComputer organization. 615 14$aProbability Theory and Stochastic Processes. 615 24$aOperations Research, Management Science. 615 24$aComputer Systems Organization and Communication Networks. 676 $a519.2 700 $aBramson$b Maury$4aut$4http://id.loc.gov/vocabulary/relators/aut$055576 712 12$aEcole d'e?te? de probabilite?s de Saint-Flour$d(36th :$f2006) 906 $aBOOK 912 $a996466379103316 996 $aStability of Queueing networks$9230558 997 $aUNISA