Cellular Automaton Models of Highway Traffic Flow Considering Lane-Control and Speed-Control

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1、Commun.Theor.Phys.56(2011)785–790Vol.56,No.4,October15,2011CellularAutomatonModelsofHighwayTrafficFlowConsideringLane-ControlandSpeed-ControlQIANYong-Sheng(∗a℄)),LIWen-Jun(o©d),ZENGJun-Wei(d),WANGMin(¯),DUJia-Wei(Ú),andGUANGXiao-Ping(2¡²)SchoolofTrafficandTransportation,LanzhouJiaotongUniversity,P.O

2、.Box405,Lanzhou730070,China(ReceivedJanuary6,2011;revisedmanuscriptreceivedMay18,2011)AbstractAstwokindsofmanagementmodesofhighwaytrafficcontrol,lane-control,andspeed-controlproducedifferenteffectunderdifferentconditions.Inthispaper,trafficflowcellularautomatonmodelsforfour-lanehighwaysystemwithtwoopposin

3、gdirectionsundertheabovetwomodesareestablishedconsideringcarandtruckmixedrunning.Throughcomputernumericalsimulating,thefundamentaldiagramswithdifferentparametersareobtained,andaftertheanalysisofdensity-fluxdiagrams,thevariationdisciplineoffluxwithtrafficdensityunderdifferentcontrolmodelsisgained.Theresu

4、ltsindicatethat,comparedwithlane-control,utilizationratioofroadcanbefurtherimprovedwithspeed-controlwhenthetrucknumberincreases.Theresearchresultisofgreatsignificanceforreasonableprovidingtheoreticalguidanceforhighwaytrafficcontrol.PACSnumbers:89.40.-a,45.70.Vn,05.45.-a,47.54.-rKeywords:highway,cellu

5、larautomatonmodel,mixedtrafficflow,lane-control,speed-control1Introductionafullspeeddifferencemodel.[9]Xueetal.discussedanAtpresent,highwayisduringthedevelopingperiodinOVmodelconsideringrelativevelocityandacar-followingChina,theproblemsofhowtoimprovethehighwayeffi-modelconsideringstochasticrelativespeed

6、,throughnu-ciencyandperfectthemanagementschemebadlyneedtomericalsimulation,analyzedstabilityfunctionofrelativemovementvelocityintrafficflow.[10−11]besolved.Basedonmicroscopiccarfollowingmodel,scholarsBesidescar-followingmodels,asaneffectivemeansforhaveobtainedplentifulstudyfruitsatadifferentan-studying

7、nonlinearphenomenasuchastrafficflow,Cel-gle.Bandoetal.proposedoptimalvelocitycarfollow-lularAutomatontheory(calledCA)hasbeenappliediningmodel(calledOVmodel),whichwassimpleandap-trafficflowmodels.TheCAmodelsfortrafficflowm