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1、Team770Page1of50TheBoothTollsforTheeTeam770February7,2005AbstractInthispaper,weaddresstheproblemsassociatedwithheavydemandsontollplazassuchaslines,backups,andtrafficjams.Weconsiderseveralmodelsinhopesofminimizingthe"costtothesystem,"whichincludesthetim
2、e-valueoftimewastedbydriversaswellasthecostofdailyoperationsofthetollplaza.Onemodelyieldsamicroscopicsimulationoflineformationinfrontofthetollboothswhentheserviceratecannotmatchthedemand.UsinghourlydemanddatafromamajorNewJerseyparkway,thesimulationisli
3、mitedinnottakingbottleneckingeffectsintoconsideration.Theresults,however,whensubjectedtothresholdanalysiscanservetosetupperboundsonthenumberofboothsthatcouldpotentiallybesuggestedbyanyothermodels.Afterpresentingthisbasicmodel,amoregeneral,macroscopicfr
4、ameworkforanalyzingtollplazadesignisintroduced.Inanalyzing"totalcost"andallowingbottlenecking,thismodelismorecompletethanthefirst,anditisabletomakerecommendationsforboothnumberbasedondataobtainedfromthefirstmodel.Thiscomputationmeldsthemacro-andmicro-l
5、evels,astrategythatishelpfulinlookingattollboothsituations.Finally,amodelfortrafficflowthroughaplazaisformulatedintheworldof"cellularautomata."Aninterestingtakeonmicroscopicideas,thecellularautomatamodelcanserveasanindependentvalidationofourothermodels
6、.Infact,themodelsmostlyagreethatgivenLlanes,anumberofboothsaroundB=[[.165L+9.0]],where[[x]]isthegreatestintegerlessthanx,willminimizethetotalhumancostassociatedwiththeplaza.1Team770Page2of50IntroductionWhenWillSmith'snamewascalled,announcinghisreceipto
7、ftheBestMalePerformanceawardatarecentinstallmentoftheMTVMovieAwards,heboundedtothepodium.NeedlingMTVforbaitinghimtoattendtheirshow,Smithsnarkilyquipped,"M.T.V.:MyTimeisValuable."Andofcourse,manyotherAmericanswouldsaythesameforthemselves,withoutSmith'si
8、rony.InaneconomyasdrivenbyefficiencyasAmerica's,therecertainlyseemstobeapredominantnationalmindsetinducedbythetoiloftheworkweek.It'sbroaderthanjustadesiretobebusyortoaccomplish;ratheritextendstothenotionofhavingcontroloverone'sowntime,s
