高速網(wǎng)絡自相似業(yè)務尾分布分析研究.pdf

1、天津大學碩士學位論文高速網(wǎng)絡自相似業(yè)務尾分布分析研究姓名：周聿飛申請學位級別：碩士專業(yè)：應用數(shù)學指導教師：劉嘉焜2000.1.1AnalysisandResearchofTail—DistributionforHighSpeedSelf—similarNetworkTrafficAbstractInrecentyears，withtheincreasingrequirementfornetworktramC，thetrafficcong

2、estioncontrol、informationinspection、bandwidthallocationiSbecomingthehotspotofthenetworkresearch。Inthefieldofcommunications，asanewnetworktrafficmodel，selfsimilarityiSattractingmoreandmoreattention，becauseltcharacterizesth

3、eessenceandtraitofrealnetworktr桶Cmoreaccuratelythantraditionaltrafficmodel。Highspeednetworktra幣CtakesonselfsimilaritySOitiSlongdependent。Intraditionalstudypeoplelookonnetworktr桶casPossionorMarkovianmodel。ButPossionorMark

4、ovianmodeliSnotgoodforcharacterizingtheselfsimilarityofrealnetwork仃桶Cbecausetheyareshortdependent。ThereforeitisnecessarytOemendmanynetworkresearchresultswhichareonthebaseoftraditionalmodel。InthisPaDerauthorsstudythetaild

5、istributionforthequeuelengthofselfsimilarnetworktraffic。BecauseofthecomplexityoftheselfsimilarnetworktramC，itisimpossibletogettheaccurateexpressionofthetrafficqueue，asmptoticalanalysisiSalmostthesoletooIforadoptingLargeD

6、eviationtechniqueiSaeffectivetooIfortheasymptoticalresearchoftaildistributionGlynnandWhittappliedLargeDeviationtechniquetotheasymptoticanalysisoftail—distributionforqueuelength，yettheirresultsonlysuittheshortdependenttra

7、fficDUffieldgeneralizedGlynnandWhitt’Smethod，afterintroducingsuitablescalingfunction，theypresentedtheanalysismethodforthetaildistributionofqueuelengthoflongrangedependenceTheyappliedthismethodtoFractionalGuassianNoisetra

8、fficmodel，findingoutthatthetaildistributionofqueuelengthisasymptoticallyWeibullian：P[q(oo)x]～exp(一朋，where肛l，r0InthispaperauthorsapplyLargeDeviationtechniquetoqueuinganalysiswithRUUMAtr斌cmodeladoptingsomeresearchmethodssu

9、chasLargeDeviationtechnique，queuingtheory，computersimulatingtechniqueandSOon胎carryoutsomesignificativeworkasfollows：●InthispaperwesystemicallydiscusstheconceptionandpropertiesoftheselfsimilarStochasticprocessandstudyther

10、elationbetweantheheavy—taileddistributionandselfsimilarstochasticprocess●AfterintroducingtheconceptionandpropertiesofLargeDeviationTheorywedetailedlysummarizetheapplicationofLargeDeviationtechniqueinasymptoticalanalysiso

11、fqueuingsystemInthispaperweapplyLargeDeviationtechniquetoqueuinganalysiswithR虹ⅦMAtrafficandshowthatthetaildistributionofqueuelengthisasymptoticallyWeibulliamP[g(∞)明exp(一硒，where肛l，礦o。sotheasymptoticalpropertyofqueuelength