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1、實(shí)用文檔ForofficeuseonlyT1________________T2________________T3________________T4________________TeamControlNumber66666?ProblemChosenAForofficeuseonlyF1________________F2________________F3________________F4________________2017MathematicalContestinModeling(MCM/ICM)SummarySheetTheKa
2、ribaDamontheZambeziRiverisoneofthelargerdamsinAfrica.Itsconstructionwascontroversial,anda2015reportbytheInstituteofRiskManagementofSouthAfricaincludedawarningthatthedamisindireneedofmaintenance.AnumberofoptionsareavailabletotheZambeziRiverAuthority(ZRA)thatmightaddressthesitu
3、ation.Itisassumedthatthedesignparameters,siteselectionandconstructionofthedam(damgroup)afterrepair,reconstructionandreconstructionareinaccordancewiththerequirementsofwaterconservancyandhydropowerprojects.Thenumberandlocationofthedamgroupsareinlinewiththerequirementsofwatercon
4、servancyandhydropowerprojects.Therefore,theresearchproblemsare:a)Comparingthecomprehensivebenefitsofthedamsafterrestoration,reconstructionandreconstruction,establishingthemathematicalmodel,andexpoundingthecostsandbenefitsofeachcase;b)Reconstructingthedams(rebuildingtheexistin
5、gdams10-20Alittledam),inthedrought,heavyrain,moderaterain,lightrain,whenthewaterstorage,flooddischargetoensuretheprobabilityofdambreakthesmallest,thatis,damgroupriskdecisionoptimization.Forthefirstproblem,thispaperchoosestheoptimalcostandbenefitplanforKalibaDamrestorationwork
6、byestablishingtheeconomicbenefitmodel,theeconomiclossmodel,thecomprehensivebenefitmodel,theabsolutereturnmodelafterrestorationandtheinvestmentpaybackperiodmodel.Thecost-effectivenessofthethreeprogramswasevaluatedindetailaccordingtotheresultsofthemathematicalmodel.Option1,ther
7、estorationofthedamcanextendtheusefullifeof11years.Whiletheone-timecostofaccesstotheinvestmentrecoveryperiodof3.2years.Option2,100yearsafterthedesignofthereconstruction,theinvestmentrecoveryperiodof65.2years.Option3,afterrebuildingforthedamgroup,designedtouse100years,theinvest
8、mentrecoveryperiodof47.8years.Threeprogramshavebetterbenefits,ofwhic
