2014数学建模美赛A题O奖论文.pdf

《2014数学建模美赛A题O奖论文.pdf》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。

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、...................62.2InflowModel..............................72.3Vehicle-FollowingModel........................82.4OvertakingModel............................102.4.1OvertakingProbability.....................102.4.2OvertakingCond