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2014数学建模美赛a题o奖论文

上传者:徐小白 |  格式:pdf  |  页数:34 |  大小:548KB

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VehiclesV/cell·s−13456pa10.70.40pb00.20.40.82.4OvertakingModel2.4.1OvertakingProbabilityThedriverwilldecidewethertoovertakeanothercarwiththeprobabilityPo.ProbabilityPodependsonthevehicleAandthevehicleBahead.LetVmax1bethevelocityofvehicleA,andVmax2bethevelocityofvehicleB.TheprobabilityPosatisfies:Vmax2−Vmax11−0.9·e,ifVmax2<Vmax1Po=0.1,ifVmax2≥Vmax1Itisrationaltoassumethatthelargerthedifferenceinvelocity,themorelike-elerate.Theprobabilitydistributionreflectsthetendencywell.2.4.2OvertakingConditionAdrivercan’tovertakeashepleases.Overtakingcanbesometimesdanger-ous,essfully,i.e.abletoreturntotheformerlane,undertheKeeprightexcepttopassrule.Thus,restrictionsaremadeonovertaking.ConditionofOvertaking:0•thegapGonthetargetlaneislargerthanGs,and•thevelocityofthevehicleislargerthanthatofthevehicleahead.

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