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1、AMass-EnergyConservationModelandItsApplicationinFreeway12345Yong-shengQIAN,Wei-biaoGUO,Jun-weiZENG,MinWANG,Xiao-mingSHAO,6Jin-baoLUO*1LanzhouJiaotongUniversity,qianyongsheng1@sina.com2LanzhouJiaotongUniversity,weibiao207@sina.com3,4,5,6LanzhouJiaotongUniversity,qianyongsheng@mail.lzjtu.cnA
2、bstractThispaperpresentamass-energyconservationmodeloftrafficflow,throughwhichseveralmacroscopicandmicroscopiccharacteristicsofroadtrafficflowaredeeplyresearched.Wesimulatethetrafficflowofsinglelaneofhighwaysusinganimprovedcellularautomatonmodel,obtainingtherelationshipsbetweenrelatedparam
3、eters(vehicledensity,velocity,andflowrate),andtheirreasonablevalues.Thesimulationresultsshowthat,comparedwithNaSchmodel,theproposedmass-energyconservationmodelcalculatesoutlargervehiclevelocityandflowrate,whichismoreconformingtorealityandcanprovidereferencefortheestablishmentofthecontrolan
4、dmanagementpolicyofhighway.Keywords:Mass-energyconservation,Cellularautomata,Trafficflow1.IntroductionInthe'30sand'40softhe20thcentury,theprobabilitytheorydominatedoverthestudyoftrafficflows,inthe'50sand'60s,thekinematicmodelandthefollowingmodeloccupiedtheleadingposition,inthe'70sand'80s,t
5、hefluiddynamicsmodelandaerodynamictheorymodelhavedevelopedrapidly,sincethe1990s,thecellularautomatamodelshavesprungup,whichcanbeusedtomodeltrafficflow[1].sincethen,trafficflowtheoryenteredintothestateofflourishingsituation[2].Nowadays,moderntrafficflowtheory,takingsimulationtechniques,neur
6、alnetworks,andfuzzycontrolasthemainstudymeans,hasbeengraduallydevelopedandcompleted.CarfollowingmodelwasfirstproposedbyPipes[3],whoassumedthatinordertoavoidcollision,acarinvehiclefleetmustmaintainacertainfollowingdistancetothefrontcar,andaccelerateordeceleratedependingonthefrontcar,thenper
7、formedparticle-systemkineticanalysisonNcars.Later,improvementshavebeendowntothismodelbyotherscholars,andalotofqualitativeandquantitativeanalysisontheinteractionbetweenvehicleshavebeenimplementedusingtheimprovedmodel;however,overtakingisnotpermittedinthecarfoll
