美赛数学建模模板Word格式文档下载.docx

美赛数学建模模板Word格式文档下载.docx

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例2:

……isareal-lifecommonphenomenonwithmanycomplexities.

例3：

An（effectiveplan）iscrucialto………

b.直接指出问题：

例1：

Wefindtheoptimalnumberoftollboothsinahighwaytoll-plazaforagivennumberofhighwaylanes:

thenumberoftollboothsthatminimizesaveragedelayexperiencedbycars. 

例2：

Abrand-newuniversityneedstobalancethecostofinformationtechnologysecuritymeasureswiththepotentialcostofattacksonitssystems.

例3：

Wedeterminethenumberofsprinklerstousebyanalyzingtheenergyandmotionofwaterinthepipeandexaminingtheengineeringparametersofsprinklersavailableinthemarket.

例4:

Aftermathematicallyanalyzingthe……problem,ourmodelinggroupwouldliketopresentourconclusions,strategies,（andrecommendations）tothe…….

例5：

Ourgoalis...that（minimizesthetime）……….

2．解决这个问题的伟大意义

反面说明。

如果没有……

Withoutimplementingdefensivemeasure,theuniversityisexposedtoanexpectedlossof$8.9millionperyear.

3．总的解决概述 

a．通过什么方法解决什么问题

例：

WeaddresstheproblemofoptimizingamusementparkenjoymentthroughdistributingQuickPasses（QP）,reservationslipsthatideallyallowanindividualtospendlesstimewaitinginline.

b．实际问题转化为数学模型

例1Weformulatetheproblemasanetworkflowinwhichverticesarethelocationsofescortsandwheelchairpassengers.

例2:

Anaï

vestrategywouldbetoemploytheminimumnumberofescortstoguaranteethatallpassengersreachtheirgatesontime.

c.将问题分阶段考虑

Wedividethejumpintothreephases:

flyingthroughtheair,punchingthroughthestack,andlandingontheground.

第二、三段：

具体分析

1．在什么模型中/建立了什么模型

a.主流模型

例1：

Weformulateadifferentialmodeltoaccountfortheratesofchangeoftheseuses,andhowthischangewouldaffecttheoverallconsumptionofwaterwithinthestudiedregion.

Weexaminedthemathematicaleffectsof…….Wedevelopedadetailed……（simulationmethodology）totestourideasandtoquantifythedifferencesbetween（among）different……（strategies）.

Basedon（writeyourbasis.suchasthetheoryofsupplyanddemand）,weestablishamodel（suchasdifferentialequationsystemthatincludesdemand,supply）.

例4：

To（writetheaims）,weestablishacriterion（writethecriterion）.

b.模型非主流

Webuildamodeltodeterminehowtolayoutthepipeeachtimetheequipmentismoved.

例6：

Wedetermine…………

例7：

Webuildamodeltodetermine……….

例8：

Weformulateamodelfor………Byanalyzing…andexamining…..

2．分析模型（使用什么数据，怎么做，一般三句话）

a.写历史数据

UsinghistoricaldatafromtheUnitedStates,wedetermineinitialconditionsforourmodel.

b.写计算机模拟

thismodelleadstoacomputersimulationofcatch-cantestsoftheirrigationsystemand……

Softwarepackingreaches………bycalculatingandcomparing………..

c.运用数据模拟

togroundthismodelinreality,weincorporateextensivedemographicdataandrun……

例2：

Wefitthemodifiedmodeltodata（suchas1970-2003.）.Weconcludethat（writethelastconclude）.

d.讲详细分析

Wephysicallycharacterizethesystemthat…

Weprovideastrategy（writethelogicalstrategy）.

The…modelis（efficient,intuitive,andflexible）andcouldbeappliedto…

Tomeettheneedsofpeopletodaywithout,weestablishacriterionofrational（合理的标准）oil 

allocation（分配）.

3．总结该模型的结果/得到什么结论

a.说明不是最优但能产生作用

例：

Weshowthatthisstrategyisnotoptimalbutcanbeimprovedbyassigningdifferentnumbers……

b.说明如果用这个模型，结果如何

IfDeltaAirlinesweretoutilizethenaï

vestrategyatAtlantaInternationalAirport,thecostwouldbe……

Wemodifythemodeltoreflect（sometrendsuchasexponentiallyincreasing……）andgeneralizethemodelto（otherfield）.

OurresultsaresummarizedintheformulafortheoptimalnumberBoftollboothsfor

c．通过其上情况的列举得到的结论

Forvarioussituations,weproposeanoptimalsolution.

d.得出了结论

weelicitthataconclusion.

Weconcludewithaseriesofrecommendationsforhowbestto…

e.进一步说明其他因素对模型的影响

Inadditiontothemodel,weal