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1、ForofficeuseonlyT1________________T2________________T3________________T4________________TeamControlNumber66666?ProblemChosenAForofficeuseonlyF1________________F2________________F3________________F4________________2017MathematicalContestinModeling(MCM/ICM)S
2、ummarySheetTheKaribaDamontheZambeziRiverisoneofthelargerdamsinAfrica.Itsconstructionwascontroversial,anda2015reportbytheInstituteofRiskManagementofSouthAfricaincludedawarningthatthedamisindireneedofmaintenance.AnumberofoptionsareavailabletotheZambeziRiverA
3、uthority(ZRA)thatmightaddressthesituation.Itisassumedthatthedesignparameters,siteselectionandconstructionofthedam(damgroup)afterrepair,reconstructionandreconstructionareinaccordancewiththerequirementsofwaterconservancyandhydropowerprojects.Thenumberandloca
4、tionofthedamgroupsareinlinewiththerequirementsofwaterconservancyandhydropowerprojects.Therefore,theresearchproblemsare:a)Comparingthecomprehensivebenefitsofthedamsafterrestoration,reconstructionandreconstruction,establishingthemathematicalmodel,andexpoundi
5、ngthecostsandbenefitsofeachcase;b)Reconstructingthedams(rebuildingtheexistingdams10-20Alittledam),inthedrought,heavyrain,moderaterain,lightrain,whenthewaterstorage,flooddischargetoensuretheprobabilityofdambreakthesmallest,thatis,damgroupriskdecisionoptimiz
6、ation.Forthefirstproblem,thispaperchoosestheoptimalcostandbenefitplanforKalibaDamrestorationworkbyestablishingtheeconomicbenefitmodel,theeconomiclossmodel,thecomprehensivebenefitmodel,theabsolutereturnmodelafterrestorationandtheinvestmentpaybackperiodmodel
7、.Thecost-effectivenessofthethreeprogramswasevaluatedindetailaccordingtotheresultsofthemathematicalmodel.Option1,therestorationofthedamcanextendtheusefullifeof11years.Whiletheone-timecostofaccesstotheinvestmentrecoveryperiodof3.2years.Option2,100yearsaftert
8、hedesignofthereconstruction,theinvestmentrecoveryperiodof65.2years.Option3,afterrebuildingforthedamgroup,designedtouse100years,theinvestmentrecoveryperiodof47.8years.Threeprogramshavebetterbenefits,ofwhichthe
