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1、TrafficdynamicalcharacteristicsandnonlineardensitywaveswithconsiderationofnavigationJournalofShanghmUniversity(EngtishEdition),2007,11(1):91-92DigitalObjectIdentifier(DOI):10.1007/s11741—007-0117-yTrafficdynamicalcharacteristicsandnonlineardensitywaveswithconsiderationofnav
2、igationPhDCandidate:GEHong-xia(葛红霞)ShanghaiInstituteofAppliedMathematicsandMechanics,ShanghaiUniversity,Shanghai200072,P.R.ChinaSupervisor:DAIShi-qiang(戴世强)MemberofDissertationDefenseCommittee:wUQing-songfUniversityofScienceandTechnologyChina),ChairmanGUGuo-qing(EastChinaNo
3、rmalUniversity)LIUYun-cai(ShanghaiJiaotongUniversity)MOJi跏qi(AnhuiNormalUniversity)XIANall(ShanghaiUniversity)WANGDao-zeng(ShanghaiUniversity)DONGLi-yunfShanghaiUniversity)TimeofDissertationDefense:Mar.12,2006curitygap.whichshouldbetakenasT=0.5.Inthisway,anewmodlel—variable
4、securitygapNaSchmodel0fisestablished.Withtheaidofthemode1.wefurtherstudiedtheeffectsanddifferencesbroughtaboutbythedifferentordersoftherandomizationstepintheevo-lutionrule,andputforwardanewcellularautomatonm0del～variablesecuritygapsensitivedrivingmode1.Thesimulationresultsi
5、ndicatethatthemaximumflowKeywordstrafficflow,cellularautomaton(CA)model,ear-followingmodel,latticehydrodynamicmodel,hydrody?namicmodel,intelligenttransportationsystem(ITS),KdVequation,mKdVequation.Inthisdissertation,basedontheexistingmacro-scopicandmicroscopicmodeisfortraff
6、icflow,severalimprovedmathematicalmodelsinaccordancewiththerapiddevelopmentofintelligenttransportationsystem(ITS)areproposed,andthecorrespondingtheoreticalanalysisandnumericalsimulationareperformed.Inaddition,therelationshipsbetweenmacroscopicandmi-croscopictrafficmodelsare
7、examined,inwhichempha-sisisparticularlylaidontheinvestigationofthevationsnonlineardensitywavesintrafficflows.Thecontentsofthedissertationareasfollows.f11AnovelconceptaboutthevariablesecuritygapandeffectivegapareintroducedintotheoriginalNaSchcellularautomatamodel,resultingin
8、severalimprovedCAmodels.Withtheconsiderationoftheinfluenceofleadingcaronthefollowi
