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1、CanWeTravelMoreFreely?参赛队员：刘会灯(电气工程学院)，路志平(资环学院)，陈琦(资环学院)指导教师：何仁斌参赛单位：重庆大学参赛时间：2005年2月5∼9日Team#412Page1of19CanWeTravelMoreFreely?AbstractToreducetheinterruptiontimecausedbytollboothsandminimizethedissatisfactoryofcustomers,wedesigntheoptimalnumberoftollboothsfordifferenttollplazas.
2、WesetupanoptimizationmodelbasedonQueuingTheoryandHydrodynamicsTheorytomakeresearchontheoptimalsettingnumberoftollboothsinatollplazaandtheopeningnumberofitindifferenthours.Inthemodel,thenumberoftollboothsisthedecisiveparameterandtheobjectivefunctionisthedelaytimeofavehiclepassingthr
3、oughthewholetollplaza.Thedelaytimecontainsthewaitingtimeforqueuingandthecongestiontime.Whenthetrafficflowgetstoolarge,weshouldsetmoretollboothstoreducethedelaytimeandupgradetheservicelevel.Ontheotherhand,ifwesettoomanytollbooths,thecongestionwouldbecomeseriousaftervehiclesleavethet
4、ollboothsandbeforedrivingonthetravellane,andthenthedelaytimewouldbeincreasingapparently.Soweconsiderthetwoaspectsintheoptimizationmodel.WealsodefinetheServiceLeveltoassesstheperformanceoftollbooths.Theresultofthemodelshowsthatthesettingtollboothscandealwiththeflowdemandofthepeaking
5、hourinnorthbounddirectionorsouthbounddirection,andthetrafficadministrationcanmakethedecisiontoopenthecorrespondingnumberoftollboothswiththeoptimalnumberoftollbooths.Weanalyzethesensitivityandstabilityoftheresulttosuchfactorsasvehiclearrivalintensity,averageservicerate,freevehicleve
6、locity,jamdensity.Thecriticalflowandaverageservicerateareconsideredtoanalyzethemoreorlesseffectivecondition,andtheresultofthemodelandcurrentpracticearecomparedintheend.IntroductionTodesigntheoptimaltollboothnumberforatollplaza,wesetupatwo-phasemodelbasedonqueuingtheoryandtrafficflo
7、wtheory.Inthefirstphase,weusetheM/M/cqueuingtheorytodescribetheprocessofthevehiclesgoingintotheplaza,payingservice,anddeterminethedelaytimeoftheprocess.Inthesecondphase,weutilizetrafficflowtheorytodiscussthetimespentoncongestionwhenvehiclesleavetollboothsbeforegoingontothenormalspe
8、edway.Andwesetupthebottlen
