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1、TeamControlNumberForofficeuseonlyForofficeuseonly25142T1________________F1________________T2________________F2________________ProblemChosenT3________________F3________________T4________________AF4________________2014MathematicalContestinModeling(MCM/ICM)SummarySheetFreewayTrafficModelBasedonCel
2、lularAutomataandMonte-CarloMethodSummaryBasedonCellularAutomataandMonte-Carlomethod,webuildamodeltodiscusstheinfluenceofthe“Keeprightexcepttopass”rule.Firstwebreakdowntheprocessofvehiclemovementandestablishcorrespondingsub-models,inflowmodelforcar-generation,vehicle-followingmodelforonevehiclef
3、ollowinganother,andovertakingmodelforonevehiclepassinganother.Thenwedesignrulestosimulatethemovementofvehiclesinsub-models.Wefurtherdiscussrulesforourmodeltoadapttothekeep-rightsituation,theunrestrictedsituation,andthesituationwheretransportationiscontrolledbyintelligentsystem.Wealsodesignaform
4、ulatoevaluatethedangerindexoftheroad.Wesimulatethetrafficontwo-lanefreeway(twolanesperdirection,fourlanesintotal),andthree-lanefreeway(threelanesperdirection,sixlanesintotal)viacomputerandanalyzethedata.Werecordtheaveragevelocity,overtakingrate,roaddensityanddangerindexandassesstheperformanceof
5、thekeep-rightrulebycomparisonwiththeunrestrictedrule.Wevarytheupperspeedlimitationstoanalyzethesensitivityofthemodelandseetheimpactsofdifferentupperspeedlimits.Left-handtrafficisalsodiscussed.Basedonouranalysis,wecomeupwithanewrulecombiningthetwoexistingrules(thekeep-rightruleandtheunrestricted
6、rule)foranintelligentsystemtoachievebetterperformance.Team#25142Page2of34Contents1Introduction..................................41.1Terminology...............................51.2Assumptions...............................52TheModels..................................62.1DesignofCellularAutomata..
7、...................62.2In?owModel..............................72.3Vehicle-FollowingModel........................82.4OvertakingModel............................102.4.1OvertakingProbability.....................102.4.2OvertakingCond
