2012北美数学建模比赛获奖论文

2012北美数学建模比赛获奖论文

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1、Team#13544Page22of22Dedicated Pipeline for Trip ArrangementSummaryIntheproblemofcamping,weshouldsetreasonableschedulewhichcannotonlyincreasetheutilizationofcampsitesbutalsomeetpeople'sneeds.Meanwhile,thecarryingcapacityoftheriverisalsorequired.Tosolvetheproblem,this

2、thesiswillbuildoptimizationmodelwithmaximumcampsite'sutilizationandrivertripsasthemodel'stargetfunction.Thespecificstepsareasfollows:step1:DeterminethenumberofcampsitesY.WeuseComputerEmulationSimulationtosolvethisproblembymakingfulluseofthegivenconditionsthattripswi

3、llspend6to18nightsontheriverandtheriveris225mileslong.Weget29setsofdatathroughprogramming,thencurvefittingthembySPSSsoftware.Bycomparingthevalueofsig.andadjustingRsquareandsoon,theidealnumberofthecampsitesisgot.Step2:Byusingthenumberofthecampsites39aswellasthegoalpr

4、ogrammingequationbuiltinthefirststep,wegetthenumberofrivertripsthatareallowedtoenter,namelythecarryingcapacityoftheriver.Step3:Byusingthecampsites39,weadjustthecampsitesofdifferentcampingprogramandthendividetheminto4kindsthroughclusteringanalysisusingSPSS.Thenwesele

5、ctrepresentativesinvarioustypesofcampingprogramsaccordingtorepetitionrateandtheaveragetransferrate.Sowestreamlinethecampingprogramsintotheproblemofgoalprogrammingfor6,8,11,12,16nights.Step4:Inthosefivecampingprograms,39campsiteswhichwillnotrepeataredistributedin3ded

6、icatedpipelines.Thefirstlineaccountsfor12campsitesandcanonlybeavailablefor6or12nightstrip.Eachday,acoupleof6nightstripsaredistributed,andthestartingtripcampsthecampsitesinturnaccordingtotheevennumberofthepipelinewhilethesecondarytripcampsinturnaccordingtotheoddnumbe

7、r.Thesecondpipelineaccountingfor16campsitesisarrangedjustasthefirstone.Underthepremiseofguaranteeingthevarietyofcampingproject,tripsstartasapipelinetomakethetotalnumberoftripscampinginthislinethebiggestandtheutilizationofthecampsitesmaximum.Thereare11campsitesinthet

8、hirdpipelinewhichareavailablefor6to11nightstrip.Accordingtotheaboveanalysis,thecarryingcapacityofDedicatedPipeline,namelyC_line,islessthan

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