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美国数学建模题目2017至2017翻译.docx

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美国数学建模题目2017至2017翻译篇一：2017年建模美赛C题带翻译ProblemC:“Cooperateandnavigate”TrafficcapacityislimitedinmanyregionsoftheUnitedStatesduetothenumberoflanesofroads.Forexample,intheGreaterSeattleareadriversexperiencelongdelaysduringpeaktraffichoursbecausethevolumeoftrafficexceedsthedesignedcapacityoftheroadnetworks.ThisisparticularlypronouncedonInterstates5,90,and405,aswellasStateRoute520,theroadsofparticularinterestforthisproblem.Self-driving,cooperatingcarshavebeenproposedasasolutiontoincreasecapacityofhighwayswithoutincreasingnumberoflanesorroads.Thebehaviorofthesecarsinteractingwiththeexistingtrafficflowandeachotherisnotwellunderstoodatthispoint.TheGovernorofthestateofWashingtonhasaskedforanalysisoftheeffectsofallowingself-driving,cooperatingcarsontheroadslistedaboveinThurston,Pierce,King,andSnohomishcounties.(SeetheprovidedmapandExcelspreadsheet).Inparticular,howdotheeffectschangeasthepercentageofself-drivingcarsincreasesfrom10%to50%to90%?Doequilibriaexist?Isthereatippingpointwhereperformancechangesmarkedly?Underwhatconditions,ifany,shouldlanesbededicatedtothesecars?Doesyouranalysisofyourmodelsuggestanyotherpolicychanges?Youranswershouldincludeamodeloftheeffectsontrafficflowofthenumberoflanes,peakand/oraveragetrafficvolume,andpercentageofvehiclesusingself-driving,cooperatingsystems.Yourmodelshouldaddresscooperationbetweenself-drivingcarsaswellastheinteractionbetweenself-drivingandnon-self-drivingvehicles.Yourmodelshouldthenbeappliedtothedatafortheroadsofinterest,providedintheattachedExcelspreadsheet.YourMCMsubmissionshouldconsistofa1pageSummarySheet,a1-2pagelettertotheGovernor’soffice,andyoursolution(nottoexceed20pages)foramaximumof23pages.Note:Theappendixandreferencesdonotcounttowardthe23pagelimit.Someusefulbackgroundinformation:Onaverage,8%ofthedailytrafficvolumeoccursduringpeaktravelhours.?Thenominalspeedlimitforalltheseroadsis60milesperhour.?Milepostsarenumberedfromsouthtonorth,andwesttoeast.?Lanewidthsarethestandard12feet.?Highway90isclassifiedasastaterouteuntilitinterse