Positive semigroups for queueing theory and reliability theory [Elektronische Ressource] / vorgelegt von Abdukerim Haji
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Positive semigroups for queueing theory and reliability theory [Elektronische Ressource] / vorgelegt von Abdukerim Haji

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97 pages
English
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desPHAJIositivsseeersit?tSemigroupsderfororgelegtQueueingKarlsTheoryzurandeinesReliabilitaturyhaftenTheoryonDISSERUrumqiTUnivAT?bingenTIONErlangungDerGradesFDoktorsakult?tNf?rwiMathematiknscundVPhvysikABDUKERIMderausEb2007erhard2.TBericagScderProf.mr:?ndlicohlhenterstatteQualikRaineration:h13.Dr.Dezemecb1.erh2007r:DekDr.aNageln:BericProf.terstatteDProf.r.UlfNilshlotterbSckhopBM3.3.tsWInSystemtroSpracduction3.5.3ProblemChapterSolution1.asPreliminaryellResults60in63Semigroup64Theory787891.1.41PhositivctrumetheOpyeratorsP7o1.2.ductionWCaucelle-pofosednessitofoftheZusammenfassungabstrac1tTheCaucAbstracthProblemySpproblem3.4.11osedness1.3.mCharacteristicStabilEquationthe124.1.4.MainAsymptoticTStabilonenitIny4.2.ofanPyositivBoundarye66Semigroups-p16SysteChapterAsymptotic2.ofTheTDynamibcyM/deutscten93enslaufControduction/13.2.QueueingProblemSysteman19Cauc2.1.yIn42troBoundaryductione19442.2.WThe-pProblemofasSystean51AbstractAsymptoticCaucithofySolutionProblemChapter20A2.3.arallelBoundarytenanceSpwithewctrumComp22ts2.4.4.1.Wtroell63-PTheosednessasofAbstractthehSystemProblem284.3.2.5.SpAsymptoticctrumStabili4.4.tellyosednessofthethemSolution4.5.38StabilChaptery3.theThe87SystemablewithsymPrimaryolsandBibliographSecondary91FinailherurehesLeb41953.1.InA/S/n, ASBn M/M /1BM/M /1C0BM/M /1BductiontreatmenthetdiusesgeneralconceptswfromsemigroupsprobabilitInyehathe-wory[andhaimsgatmoreanhunderstandingalloflater.thewhictime-evtheolutiongoofGup02certainwrittenprobabilities.

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Publié le 01 janvier 2007
Nombre de lectures 6
Langue English

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desPHAJIositivsseeersit?tSemigroupsderfororgelegtQueueingKarlsTheoryzurandeinesReliabilitaturyhaftenTheoryonDISSERUrumqiTUnivAT?bingenTIONErlangungDerGradesFDoktorsakult?tNf?rwiMathematiknscundVPhvysikABDUKERIMderausEb2007erhard2.TBericagScderProf.mr:?ndlicohlhenterstatteQualikRaineration:h13.Dr.Dezemecb1.erh2007r:DekDr.aNageln:BericProf.terstatteDProf.r.UlfNilshlotterbSckhopBM
3.3.tsWInSystemtroSpracduction3.5.3ProblemChapterSolution1.asPreliminaryellResults60in63Semigroup64Theory787891.1.41PhositivctrumetheOpyeratorsP7o1.2.ductionWCaucelle-pofosednessitofoftheZusammenfassungabstrac1tTheCaucAbstracthProblemySpproblem3.4.11osedness1.3.mCharacteristicStabilEquationthe124.1.4.MainAsymptoticTStabilonenitIny4.2.ofanPyositivBoundarye66Semigroups-p16SysteChapterAsymptotic2.ofTheTDynamibcyM/deutscten93enslaufControduction/13.2.QueueingProblemSysteman19Cauc2.1.yIn42troBoundaryductione19442.2.WThe-pProblemofasSystean51AbstractAsymptoticCaucithofySolutionProblemChapter20A2.3.arallelBoundarytenanceSpwithewctrumComp22ts2.4.4.1.Wtroell63-PTheosednessasofAbstractthehSystemProblem284.3.2.5.SpAsymptoticctrumStabili4.4.tellyosednessofthethemSolution4.5.38StabilChaptery3.theThe87SystemablewithsymPrimaryolsandBibliographSecondary91FinailherurehesLeb41953.1.InA/S/n, A
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ByOoDUstateCTIONsolution.abstractanalysisCauc.htheyofproblFinallyeobtainm,ergenceproparallelveh97esystemwuaellb-pl-posednesstheofatheuniproblemallandndsirreducibilitwysystemandts.phositivitmoyoof],thethecorrespsolutionondinganalysissemigroup,andproblemanalyzebthethroughspandectrumfromofoftheegenerator.whicThecon-maintimecinnitonclusiChapterondiscussontthetasymptotico-b[ehaL.Yvioursheofctheofsolutionsobtainedofathis[problemWisvstatedandinnonnegativTheorethemusing2.5.2.thoIn4Chaptere3,ofthevmothedelviourofisasprepairablethesystemywithtprEFNS07iexistencemaryaasquwsteadyelltoashsec-solutionondaryvfailuresasisteconsidered.toTheymathematicalInmo4,deleforathemainsystemenancewwithaswestab-complishednenbInyYSure],ndraeM.Guptaestabli(seed[mathematiGup95al]).delWtheeandrewriteexistencethefmosteady-statedelInasGuo03anGuoabstracteihCaucprohedyexistenceproblem,uniquenessandaproevofesystemwyell-pclassicalosednessmeofds.theusingINTRsemigroupproblemtheoryandwplositivitosednessythisandisir-eried.reducibilit,yasymptoticofehatheofcorrespsolutionsondingobtainedsemigroup.aThroughectralaofspgeneratorectralbanalysisapplyingofrecentheresultgenerator[w].eaAIcrelativknoywledgementhetsTIthankwortansincetFinallytoyexpressKeicmandyingratitudeetohangeProf.asRaineryNagelywithoutmwhomcompletethisfewDornorkrcouldimpnotwhawhovtheoryeouldbossibleeenyctooexpressmpletealsod.XinjiIholarshipwishItoGermanthankanprofessortoRainerwhoNagelespfortohisEs-Sahir,mathematicalEisner,advice,Vconrtinmuousmanencouragementt,ts.optimitsmGeniandmsuppinortMyduringT?bingenthehapreparationeenofthemtheycademicthesis.(DIIalsotwishytell.owthankthanksDr.UnivAgnesChinaRadlcil(CSC)forsuppmanduringyyhelpfulindiscussionsIandtoinsincerevfriendsalu-inablemeremarks.wIttowaasyadelhadigreatDr.pleasureanjaforBrittameandtoerawheorkfwithoher.whomFgoturtheryIortanwsuggestionsanhintItoanthanktoallProf.memGupurbarouseersyofterestthequeueingA.rstabineitsgemeinscwhaftnotFvunktibon-palanalysiswithoutT?suppbifromngeGermannAforExctheServicewAAD)onderfulwhomwworkingnatmospheretoImenjogratitudeywedIduringomeyretimetoinangT?bingen.ersitIandwScouldCoun-likforenancialtoortthankgotProf.mUlfstaScinhlotterbyec2005.k,,Prof.wAbtdelazizexpressRhandi,yProf.thanksGregorcolleagues,NicandkeseChinalencouraged,toProf.thisKlaus-Joork,ceciallyhenmEngel,motherDr.ndSusannamPiazzera,wiDr..AbC0

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