2007年美国大学生数学建模C题 一等奖论文

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1、Team#1824Page29of29UnitedNationsforOrganSharingFebruary9,2007AbstractInourpaper,wefocusontheproblemsaboutorgantransplantation.Consideringtherearetoomanyfactorsaffectingthenumberoftransplantations,weusethemethodofprincipalcomponentanalysistochoosefiverel

2、ativeimportantfactors.BasedonthefivefactorsandthedatagainedfromtheOPTNwebsite,weestablishamultiplelinearregressionequationasfollows:,whereYrepresentsthenumberoftransplantations.Usingthisequation,wefindoutthebottlenecksaretherecipientethnicityanddonors’n

3、umber.Wegetaconclusionthatmoreresourcesshouldbeusedinincreasingthedonors’number.It’sbettertodividedintosmallernetworks.WechooseGermanytoinvestigatewhethertheUStransplantationpoliciesaresuitabletoit,andtheresultisnegative,sowemodifyourmodels.Atlastwewrit

4、eapapertotheCongressaccordingtoourmodel.Theprocedurewedevisedusesmulti-objectiveprogrammingtomaximizethenumberandqualityofexchanges.Weallowthematchbetweenarbitrarypatientanddonorsothatthekidneyresourcescanbemadeenoughuse.Wheneveryparticipantacceptsthepr

5、ocedureresult,wecangettheoptimalresult.Theprocedurewillgenerate1328moreannualtransplantations.Wedeviseasimplestrategyforapatient.Adoptingourstrategy,thepatientcaneasilyjudgewhetherheshouldtaketheoffer.Ofcoursetheriskexists.Throughanalysisanddiscussion,w

6、econcludethatthecriteriaandpoliciesneedsomeamendments,andourobjectistomaximizetheoverallwelfareofthegroup.ThenwewriteourrecommendstotheDirectoroftheUSHealthResourcesandServices.Analyzingtherisksandpersonalissueswhichwillinfluencethedecisionsofthepotenti

7、aldonors,wedisplayhowtheyworkonthedonors.Thenwemodifyourmodelstoreflecttheseissues.Team#1824Page29of29IntroductionSincethefirstsuccessfulkidneytransplantationhappenedinyearof1954,thedemandfortransplantationincreaseddrastically.Humanorgantransplantationi

8、sthetherapeuticuseofhumanorgansasasubstituteforonethatisnon-functional.Theorganmaycomefromadeceasedoralivingdonor.TodayitisacommonprocedureusedinmedicinethroughouttheUniteStateandEuropeanUnion.Transplantationnotonlyprovidesthepos