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ForofficeuseonlyT1________________T2________________T3________________T4________________TeamControlNumber11111ProblemChosenABCDForofficeuseonlyF1________________F2________________F3________________F4________________2015MathematicalContestinModeling(MCM/ICM)SummarySheetInordertoevaluatetheperformanceofacoach,wedescribemetricsinfiveaspects:historicalrecord,gamegoldcontent,playoffperformance,honorsandcontributiontothesports.Moreover,eachaspectissubdividedintoseveralsecondarymetrics.Takeplayoffperformanceasexample,wecollectpostseasonresult(SweetSixteen,FinalFour,etc.)peryearfromNCAAofficialwebsite,Wikimediaandsoon.First,****grade.Toeval***,inturn,areJohnWooden,MikeKrzyzewski,AdolphRupp,DeanSmithandBobKnight.Timelinehorizondoesmakeadifference.AccordingtoturningpointsinNCAAhistory,wedividethepreviouscenturyintosixperiodswithdifferenttimeweightswhichleadtothechangeofranking.WeconductsensitivityanalysisonFSEtofindbestmembershipfunctionandcalculationrule.Sensitivityanalysisonaggregationweightisalsoperformed.ItprovesAMperformsbetterthansinglemodel.Asacreativeuse,top3presidents(U.S.)arepickedout:AbrahamLincoln,GeorgeWashington,FranklinD.Roosevelt.Atlast,thestrengthandweaknessofourmodearediscussed,non-technicalexplanationispresentedandthefutureworkispointedaswell.Keywords:Ebolavirusdisease;Epidemiology;WestAfrica;******Team#12345Page1of9ContentsI.Introduction.............................................................................................................................21.1........................................................................................................................................21.2........................................................................................................................................21.3........................................................................................................................................21.4........................................................................................................................................21.5........................................................................................................................................21.6........................................................................................................................................2II.TheDescriptionoftheProblem.............................................................................................22.1Howdoweapproximatethewholecourseofpayingtoll?...........................................22.2Howdowedefinetheoptimalconfiguration?..............................................................32.3Thelocaloptimizationandtheoveralloptimization.....................................................32.4Thedifferencesinweightsandsizesofvehicles...........................................................32.5Whatifthereisnodataavailable?................................................................................3III.Models..................................................................................................................................33.1BasicModel...................................................................................................................33.1.1Terms,DefinitionsandSymbols.........................................................................33.1.2Assumptions........................................................................................................33.1.3TheFoundationofModel....................................................................................43.1.4SolutionandResult.............................................................................................43.1.5AnalysisoftheResult..........................................................................................43.1.6StrengthandWeakness........................................................................................43.2ImprovedModel............................................................................................................43.2.1ExtraSymbols.....................................................................................................53.2.2AdditionalAssumptions......................................................................................53.2.3TheFoundationofModel....................................................................................53.2.4SolutionandResult.............................................................................................53.2.5AnalysisoftheResult..........................................................................................63.2.6StrengthandWeakness........................................................................................6IV.Conclusions..........................................................................................................................64.1Conclusionsoftheproblem...........................................................................................64.2Methodsu