2017年美国大学生数学建模E题获奖优秀论文

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ForofficeuseonlyT1________________T2________________T3________________T4________________TeamControlNumber59496ProblemChosenEForofficeuseonlyF1________________F2________________F3________________F4________________2017MCM/ICMSummarySheet(Yourteam'ssummaryshouldbeincludedasthefirstpageofyourelectronicsubmission.)Typeasummaryofyourresultsonthispage.Donotincludethenameofyourschool,advisor,orteammembersonthispage.Inthispaper,onthebasisofthreegoalsandtenprinciples,wedefineUrbanSustainabilityIndex(USI)tomeasurethesuccessrateofurbansmartgrowth.WeconstructacomprehensiveevaluationmodeltomakeareliableandeffectiveevaluationofUSIandputforwardreasonablesuggestions.InProblem1,wedefineUSIasameasureofthesuccessrateofsmartcities,andproposethree-dimensionalmodelandsixteenindicatorsofevaluationsystem.Then,thecomputationalmodelisestablished,andthemodelissupplementedbythenormalizationmethodofindexdata,thediscretetreatmentmethodandthebalancedweightmethod.Finally,theneutralizationevaluationmodelofurbansustainabledevelopmentabilityisconstructed.Inquestion2,Shangri-LainChinaandColoradoSpringsintheUSwereselectedasrepresentativecitieswerestudiedandevaluatedaccordingtothetenprinciplesofsmartgrowth.Wedealwithvariousindicatorsaccordingtothecomprehensiveevaluationmodelthatweestablishedinfirstquestion.Accordingtotheresultsofthetreatment,ColoradoSprings'UrbanSustainabilityvalueisslightlyhigherthanitofShangri-La,soColoradoSprings’smartgrowthobtainahigherdegreeofsuccess.InQuestion3,basedonthegeographiclocationofthesamplecities,expectedgrowthratesandeconomicopportunitiesandcombinewithowndevelopmentstrategies,wemakethefuturesmartgrowthplanfortwocitiesandtheexpectedsuccessrateoftheprogramwillbere-evaluatedbyusingtheindicatorsystem.InQuestion4,weusetheimprovedprincipalcomponentanalysistoanalyzethedevelopmentpotential.InQuestion5,theecologicalenvironment,theeconomiclevelandthequalityoflifearediscussedfromtheplannedsub-itemsaccordingtoconclusioninQuestion3.Inaddition,wecomparetheexpectedpopulationgrowthrateofthecitywiththeassumedgrowthrateinQuestion5andconsiderthatinwhichwaythatthepromotionofsocialeffectssupportthegrowthofsuchadevelopment.Keywords:SmartGrowthGrayPredictionNormalizationProcessingTeam#59496Page2of21ContentIntroduction....................................................................................................................3GeneralAssumptionsandVariableDescription............................................................3GeneralAssumptions.............................................................................................3Definitions..............................................................................................................4ModelDefinitions..........................................................................................................4TheAbilityofUrbanSustainableDevelopment....................................................4Indicatorsystem.....................................................................................................5TheCalculationModelofUrbanSmartGrowth................................................7Establishthecomprehensiveevaluationmodel...................................................10ApplicationoftheRefinedModeltothesamplecities........................................12ResultsandDiscussion................................................................................................13FutureplansandstrategiesforSmartgrowth......................................................13ColoradoSprings.................................................................................................17Shangri-La............................................................................................................18ComparedAndDiscussion...................................................................................19Conclusions..................................................................................................................19Strengths..............................................................................................................20Weakness..............................................................................................................20References....................................................................................................................21Team#59496Page3of21IntroductionTherearemanyproblemsexistintheprocessofurbanplanningandmanagementinmanycountries.Itisclearthattheworldurbanizationtrendisaccelerated.Theemergingeconomicglobalizationhasmadecitiesinallcountriesdevelopatanunprecedentedspeed.Thefollowingsarethebasicformofurbansprawl:a)Urbanlandgrowthoutstripspopulationgrowth.b)Dwellings,shopsandworkplacesarestrictlyseparate.c)Thelackofhigh-densityeconomiccenteranditisdifficulttowalk.d)Aroadnetworkcharacterizedbylargeblocks.Rapidurbanizationofpopulationleadstothedisorderlyspreadandexpansionofurbanspace,whichcausestremendouspressureonresourcesandenvironment,andmakestherelationshipbetweenpeopleandlandtighte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