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1、DiscretestochasticmodellingofATM-tracwithcirculanttransitionmatricesTonyVanGestelKatrienDeCockDept.ofElectricalEngineering,ESAT/SISTADept.ofElectricalEngineering,ESAT/SISTAKatholiekeUniversiteitLeuvenKatholiekeUniversiteitLeuvenKard.Mercierlaan94,3001Leuven,Belgiu
2、mKard.Mercierlaan94,3001Leuven,Belgiumtony.vangestel@esat.kuleuven.ac.bekatrien.decock@esat.kuleuven.ac.beRafJansBartDeSchutterDept.ofAppliedEconomicsDept.ofElectricalEngineering,ESAT/SISTAKatholiekeUniversiteitLeuvenKatholiekeUniversiteitLeuvenNaamsestraat69,3000L
3、euven,BelgiumKard.Mercierlaan94,3001Leuven,Belgiumraf.jans@econ.kuleuven.ac.bebart.deschutter@esat.kuleuven.ac.beZegerDegraeveBartDeMoorDept.ofAppliedEconomicsDept.ofElectricalEngineering,ESAT/SISTAKatholiekeUniversiteitLeuvenKatholiekeUniversiteitLeuvenNaamsestraa
4、t69,3000Leuven,BelgiumKard.Mercierlaan94,3001Leuven,Belgiumzeger.degraeve@econ.kuleuven.ac.bebart.demoor@esat.kuleuven.ac.beAbstract c.Figure1givesaschematicrepresentationofaserverwith nitebu erlength.Theaggregatedarrivalpattern1Inthispaperanewapproachtothemodellin
5、gofATM-fagisthesumofthearrivalpatternsoftheindi-kk=1tracisproposed.Thetracismeasuredandcharac-vidualclients.Eachclientdemandsacertainnegotiatedterisedbyits rstandsecondorderstatisticmoments.AlevelofQualityofService(QoS).ThefollowingquestionMarkovModulatedPoissonP
6、rocess(MMPP)isusedtoisimportant:giventhecurrentlyprocessedtrac,isitcapturetheinformationinthesetwostochasticmoments.possibletoallocateanewclienttothechannelsothatInsteadofageneralMMPP,acirculantMMPPisusedthenewclientobtainshislevelofQoS,withoutlossoftoreducethecom
7、putationalcost.AcirculantMMPPthepreviouslynegotiatedQoSoftheotherclients?The(CMMPP)isanMMPPwithacirculanttransitionma-newclientwillcertainlyincreasetheloadontheservertrix.ThemainadvantagesofthisapproacharethattheandtheQoSwillcertainlydecrease.Theamountofthiseigenva
8、luedecompositionisaFastFourierTransformanddeclineiscalculatedwithqueueingtheory.Thiscouldthattheoptimisationtowardsthetwostochasticmomentsbedoneb
