Time Series Models for Internet Data Traffic

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1、TimeSeriesModelsforInternetDataTrafficChunYouandKavithaChandraCenterforAdvancedComputationandTelecommunicationsDepartmentofElectricalandComputerEngineeringUniversityofMassachusettsLowellLowell,MA01854E-mail:cyou@cs.uml.edu,kavitha_chandra@uml.eduAbstractpropertiesoftime-stationarityandlineari

2、tyinitsarrivalrates.ThestationarityassumptionmaynotbeeasilyAstatisticalanalysisofInternettrafficmeasurementsmadeifoneconsidersthatboththenumberofsourcesfromacampussiteiscarriedouttoexaminetheinflu-generatingtrafficandtheapplicationmixchangesignifi-enceoftheconstituentprotocolsandapplicationsonth

3、ecantlywithtime.Inaddition,thestatisticalanalysisischaracteristicsoftheaggregatestreamandonpackettypicallycarriedoutonaggregatedtrafficmeasurementslossstatistics.WhileTCPremainsthedominanttrafficinwhichdifferentapplicationsandprotocolsaremergedprotocolthroughallhoursoftheday,amixtureofbothinto

4、acommontrafficstreamforanalysis.Towhatde-well-known(http,ftp,nntpandsmtp)andlessknowngreethislevelofaggregationimpactsthestatisticalfea-applicationscontributesignificantportionstotheTCPturesoftraffichasnotbeeninvestigated,tothebestoftrafficmix.Statisticaltestsshowthattheaggregateourknowledge.Iti

5、sshowninthispaperthatapplica-TCPpacketarrivalprocessexhibitsbothnon-stationarytionssuchasFTPcangenerateasustainedfiletransferandnonlinearfeatures.Byfilteringasubsetoftheap-processthatcanexistfortensofsecondsandcausetheplicationsfoundtoexhibitnon-stationaryfeaturesfromtrafficcorrelationtodecayve

6、ryslowlyintime.Therela-theaggregateprocess,astationarytrafficstreamisde-tiveburstsizesgeneratedbydifferentapplicationsis,rived.Thisfilteredtrafficprocessismodeledusingnon-therefore,animportantconsiderationintheaggregationlinearthresholdautoregressiveprocesses.Thetrafficofsuchtraffic.modelisshownt

7、oprovidegoodagreementwiththeToeffectivelyimplementdifferentiatedandcon-measurementtraceinthepacketlossstatistics.Thepro-trolledloadservicesatanetworkedge,itisnecessarytoposedparametricmodelallowsthedesignoftrafficidentifytheleveloftrafficaggregationt