MCM北美数学建模论文模版.doc

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Contents
1.Introduction...................................................................................................................................................3
1.1Whydoestollwaycollectstoll?………………………………………….…………………….3
1.2Tollmodes………………………………………………………………………………………………3
1.3Tollcollectionmethods……………………………………………………………………….……3
1.4Annoyanceintollplazas………………………………………….………….…………………….3
1.5Theoriginofthetollwayproblem……………………...……………………………………...3
1.6Queuingtheory…………………………………………………………………………………...…...4
2.TheDescriptionofProblem….............................................................................................................5
2.1Howdoweapproximatethewholecourseofpayingtoll?............................................5
2.2Howdowedefinetheoptimalconfiguration?........................…………….………….5
2.2.1Fromtheperspectiveofmotorist…………………………………….………………….5
2.2.2Fromtheperspectiveofthetollplaza…………………………………………………6
2.2.3Compromise…………………………………...……………………………………...………..6
2.3Overalloptimizationandlocaloptimization……………………………..……………….…6
2.4Thedifferencesinweightsandsizesofvehicles………………………………………..…7
2.5Whatifthereisnodataavailable?..............................................................................................7
3.Models……………...........................................................................................................................................7
3.1BasicModel.............................................................................................................................................7
3.1.1SymbolsandDefinitions………………………………..…...……………………………...7
3.1.2Assumptions……………………………………………………………….……..……………..8
3.1.3TheFoundationofModel………………………………………………………………….9
3.1.4SolutionandResult……………………………………………………………….………...11
3.1.5AnalysisoftheResult……………………………………………….………………………..……….….11
3.1.6StrengthandWeakness………………………………………………….…………….…..13
3.2ImprovedModel......