2015美国大学生数学建模竞赛题目(带中文翻译)

Teams(StudentorAdvisor)arenowrequiredtosubmitanelectroniccopy(summarysheetandsolution)oftheirsolutionpaperbyemailtoosolutions@asaWordorPDFattachment.YouremailMUSTbereceivedatCOMAPbythesubmissiondeadlineof8:00PMEST,February9,2015.Noteyouwillnotreceiveanautoresponse.

SubjectlineCOMAPyourcontrolnumberExample:COMAP11111

ClickheretodownloadaPDFofthecompletecontestinstructions.

ClickheretodownloadacopyoftheSummarySheetinMicrosoftWordformat.*Besuretochangethecontrolnumberandproblemselectedbeforeprintingoutthepage.Youmuststilllogintothewebsiteandchooseyourproblem.

TeamsarefreetochoosebetweenMCMProblemA,MCMProblemB,ICMProblemCorICMProblemD.

COMAPMirrorSite:Formorein:/undergraduate/contests/mcm/

MCM:TheMathematicalContestinModelingICM:TheInterdisciplinaryContestinModeling

2015ContestProblems

MCMPROBLEMS

PROBLEMAEradicatingEbola

TheworldmedicalassociationhasannouncedthattheirnewmedicationcouldstopEbolaandcurepatientswhosediseaseisnotadvanced.Buildarealistic,sensible,andusefulmodelthatconsidersnotonlythespreadofthedisease,thequantityofthemedicineneeded,possiblefeasibledeliverysystems,locationsofdelivery,speedofmanufacturingofthevaccineordrug,butalsoanyothercriticalfactorsyourteamconsidersnecessaryaspartofthemodeltooptimizetheeradicationofEbola,oratleastitscurrentstrain.Inadditiontoyourmodelingapproachforthecontest,preparea1-2pagenon-technicalletterfortheworldmedicalassociationtouseintheirannouncement.

PROBLEMBSearchingforalostplane

RecallthelostMalaysianflightMH370.Buildagenericmathematicalmodelthatcouldassist"searchers"inplanningausefulsearchforalostplanefearedtohavecrashedinopenwatersuchastheAtlantic,Pacific,Indian,Southern,orArcticOceanwhileflyingfromPointAtoPointB.Assumethattherearenosignalsfromthedownedplane.Yourmodelshouldrecognizethattherearemanydifferenttypesofplanesforwhichwemightbesearchingandthattherearemanydifferenttypesofsearchplanes,oftenusingdifferentelectronicsorsensors.Additionally,preparea1-2pagenon-technicalpaperfortheairlinestouseintheirpressconferencesconcerningtheirplanforfuturesearches.

ICMPROBLEMS

PROBLEMC:ManagingHumanCapitalinOrganizations

ClickthetitlebelowtodownloadaPDFofthe2015ICMProblemC.

YourICMsubmissionshouldconsistofa1pageSummarySheetandyoursolutioncannotexceed20pagesforamaximumof21pages.

ManagingHumanCapitalinOrganizations

PROBLEMD:Isitsustainable?

ClickthetitlebelowtodownloadaPDFofthe2015ICMProblemD.

YourICMsubmissionshouldconsistofa1pageSummarySheetandyoursolutioncannotexceed20pagesforamaximumof21pages.

Isitsustainable?

©2015COMAP,TheConsortiumforMathematicsandItsApplicationsMaybereproducedforacademic/researchpurposesForMoreinformationonCOMAPandthisprojectvisit

问题一：根除病毒世界医学协会已经宣布他们的新药物能阻止埃博拉病毒和治愈患者的疾病不先进。建立一个现实的，明智的，和有用的模型，不仅考虑了疾病的蔓延，需要药物的量，可能可行的输送系统，输送的位置，疫苗或药物的生产速度，但也有其他重要因素，你的团队认为有必要作为模型的一部分来优化埃博拉病毒根除，或者至少目前的应变。除了你的建模方法的较量，准备为世界医学协会使用在其公告1-2页的非技术性的信。问题B：寻找失踪的飞机回忆失去的马来西亚mh370飞行。建立一个通用的数学模型，可以帮助