资源描述：
《2013全美数学建模题目》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。
1、2013ContestProblemsMCMPROBLEMSPROBLEMA: TheUltimateBrowniePanWhenbakinginarectangularpanheatisconcentratedinthe4cornersandtheproductgetsovercookedatthecorners(andtoalesserextentattheedges).Inaroundpantheheatisdistributedevenlyovertheentireouteredgeandt
2、heproductisnotovercookedattheedges.However,sincemostovensarerectangularinshapeusingroundpansisnotefficientwithrespecttousingthespaceinanoven.Developamodeltoshowthedistributionofheatacrosstheouteredgeofapanforpansofdifferentshapes-rectangulartocirculara
3、ndothershapesinbetween.Assume1.Awidthtolengthratioof W/Lfortheovenwhichisrectangularinshape.2.Eachpanmusthaveanareaof A.3.Initiallytworacksintheoven,evenlyspaced. Developamodelthatcanbeusedtoselectthebesttypeofpan(shape)underthefollowingconditions:1.Ma
4、ximizenumberofpansthatcanfitintheoven(N)2.Maximizeevendistributionofheat(H)forthepan 3.Optimizeacombinationofconditions(1)and(2)whereweightspand(1- p)areassignedtoillustratehowtheresultsvarywithdifferentvaluesof W/L and p. InadditiontoyourMCMformatteds
5、olution,prepareaonetotwopageadvertisingsheetforthenewBrownieGourmetMagazinehighlightingyourdesignandresults. PROBLEMB: Water,Water,EverywhereFreshwateristhelimitingconstraintfordevelopmentinmuchoftheworld.Buildamathematicalmodelfordetermininganeffectiv
6、e,feasible,andcost-efficientwaterstrategyfor2013tomeettheprojectedwaterneedsof[pickonecountryfromthelistbelow]in2025,andidentifythebestwaterstrategy.Inparticular,yourmathematicalmodelmustaddressstorageandmovement;de-salinization;andconservation.Ifpossi
7、ble,useyourmodeltodiscusstheeconomic,physical,andenvironmentalimplicationsofyourstrategy.Provideanon-technicalpositionpapertogovernmentalleadershipoutliningyourapproach,itsfeasibilityandcosts,andwhyitisthe“bestwaterstrategychoice.” Countries:UnitedStat
8、es,China,Russia,Egypt,orSaudiArabia ICMPROBLEMPROBLEMC: NetworkModelingofEarth'sHealthClickthetitlebelowtodownloadaPDFofthe2013ICMProblem.YourICMsubmissionshouldconsistofa1pageSummarySheetandyoursolutioncannotexceed20pagesforamaximumof
