Intelligent controlled transportation system 美赛数学建模文章-交通建模方面

Intelligent controlled transportation system 美赛数学建模文章-交通建模方面

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时间:2017-07-13

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1、Team25963SummaryWiththerapidlydevelopingoftraffic,freewaygraduallybecomesthemainstreamwayofshort-distancetravel.Inordertomakethemeansoftransportationbecomemoreperfect,weneedtoimproveinasmanyaspectsaspossible.Tomeasuretheperformanceofafreeway,wemustconsiderthefol

2、lowingtwofactors:trafficflowandsafety.Thesearethemainaspectsthatwemusttakeintoconsiderationtoweighwhetherafreewayisgoodorbad.Inordertobettersimulatetheactualsituation,weestablishedasimulationmodel.WeadoptedthecoreideasoftheCellularAutomataModel,onwhosebasis,wees

3、tablishedanewmodelsuitabletothesimulationoftheperformanceonfreeway.Thekeypointofourmodelisregardingtimeandspacetobediscretewhichisactuallycontinuous.Everyvehiclemustbeincertaindiscreteposition.Inthisproblem,wedividetheroadintomanysame-sizerectangulargrids,theveh

4、iclemustmoveinafixedplace.henumberofgridsstandsforthedistance,thenumberofthegridsthatavehiclemoveperunittimestandsforit’sspeed.Accordingtodifferentrules,differentsmallmodelsarerespectivelyestablishedtostudywhichruleisbetter.Inawordthemodelwedesignedhascombinedth

5、eadvantagesoftheCellularAutomataModelandthemostimportantaspectsoftheactualsituationonthehighway.Tostudytheperformancemoreaccurately,Wehavestudiedunderthefollowingthreeconditions:1.underverylighttrafficload;2.underamediumtrafficload(normaltrafficconditions)(mainp

6、art);3.underaveryheavytrafficload.Ineachcase,wehaveanalyzedtheperformanceonfreewayanddiscussedthetrafficflowbothintheoryandbysimulation.Wehavealsocalculatedhowthedriversonfreewayguaranteetheirsafetyquantitatively.Afterthat,weexaminedtradeoffsbetweentrafficflowan

7、dsafety,andanalyzedthehoweachcaselimitthespeedandovertakingratio.Throughanalysis,wehavegotrelativelyreasonableconclusions.Differently,incase1,wegaveanactualexampletotestourmodel.Incase2,werespectivelyanalyzedthefollowingandpassingphenomenonindetail.Safetyonfreew

8、ayissoimportantthatwehavestudiedhowmuchthetrafficflowandspeedinfluenceit,wehavecalculatedthetwosafetycorrelationcoefficientsofthetrafficflowandspeedandconcludethatspe

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