资源描述:
《SearchingForaLostPlane-美赛数模论文》由会员上传分享,免费在线阅读,更多相关内容在工程资料-天天文库。
1、ForofficeuseonlyT1T2T3T4TeamControlNumber35565ProblemChosenForofficeuseonlyF1F2F3F4SummaryThelostMH370urgesustobuildauniversalsearchplantoassistsearcherstolocatethelostplaneefficientlyandoptimizethearrangementofsearchplans.Forthelocationofthesearcharea,
2、wedivideditintotwostages,respectively,tolocatethesplashpointandthewreckage'ssunkpoint.Inthefirststage,weconsiderthetypesofcrashedaircraft,itsmotionanddifferentpositionoutofcontact.WealsoconsidertheEarth'srotation,andotherfactors.Takingalltheseintoaccount
3、,weestablishamodeltolocatethesplashpoint.ThenweapplythismodeltoMH370-wecangetthesplashpointintheopenwateris6.813°N103.49°Eandthefallingtimeis524s.Inthesecondstage,consideringresistancesofthewreckageindifferentshapesanditsdistributionaffectedbyoceancurren
4、ts,weestablishawreckagesunkpointmodeltocalculatethehorizontaldisplacementandtheangledeviationaffectedbytheoceancurrents.Theresultis1517mand0.11°respectively.Next,weextractasatellitemapofsubmarinetopographyanduseMATLABtodepictseabedtopographymap,determini
5、ngthesettlementofthewreckagebyusingdichotomyalgorithmunderdifferentterrains.Finally,webuildaBayesianmodelandcalculatetheweightofcorrespondingarea,sendingaircraftstoobtainnewevidenceandrefreshsuspectedwreckagearea.Fortheassignmentofthesearchplanes,wedivid
6、eitintotwostages,respectively,todeterminethenumberoftheaircraftandtheassignmentschemeofthesearchaircraft.Inthefirststage,weconsiderthesearchabilityofeachplaneandotherfactors-Andthenweestablishglobaloptimizationmodel.NextweuseDinkelbachalgorithmtoselectt
7、hebestnsearchaircraftsfromallsearchaircrafts.Inthesecondstage,wedividetheassignmentintotwocaseswhethertherearesearchaircraftsinthetargetarea.Ifthereisnosearchaircraft,wetakethesearchareaasanarbitrarypolygonandestablishthesubdivisionmodel.Consideringthese
8、archingabilityofeachplane,wedividensmallpolygonsinto2nsub-polygonsbyusingNonconvexDividealgorithm,whichassignsspecificanchorpointstothese2nsub-polygonsrespectively.Ifthereexistsearchaircrafts,wedividethesearchareaintoseve