Multi-lane hybrid traffic flow model

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1、Multi-lanehybridtra±c°owmodel:atheoryontheimpactsoflane-changingmaneuversJorgeA.LavalDepartmentofCivilandEnvironmentalEngineeringTransportationGroupUniversityofCalifornia,Berkeley416McLaughlinHallTel:510-6431024e-mail:jlaval@uclink.berkeley.eduCarlosF.DaganzoDep

2、artmentofCivilandEnvironmentalEngineeringTransportationGroupUniversityofCalifornia,Berkeley416McLaughlinHallTel:510-6431024e-mail:daganzo@ce.berkeley.eduSubmissiondate:November15,20043866words+8¯gure=5,866words.1AbstractThispaperintroducesamulti-lanehybridtheory

3、thattreatslane-changingastemporaryblockages,becausethisiswhatisphysicallyobservedinreality.Formaximumaccuracylane-changingvehiclesaremodeledasdiscreteparticlesendowedwithlimitedaccelerationcapabilitiesthatinteractrealisticallywiththemulti-lanecontinuumstream.Thi

4、sdiscrete-continuum(hy-brid)setupisparsimonious;itrequiresonlyonemoreparameterthanthesimplekinematicwavemodel.Theextraparameteriseasytoestimateandinallourapplicationstakesphysicallymeaningfulvalues.We¯ndthatthemodelreproduces(andexplains)twobottleneckphenom-enap

5、reviouslythoughttobeunrelated:(i)thedropinthedischargerateoffreewaybottleneckswhencongestionbegins,and(ii)therelationbetweenthespeedofamovingbottleneckanditscapacity.Ongoingresearchalsoshowsthatthemodelcanreproducequalitativelyallthedetailedlane-speci¯cbehavioro

6、bservedatmergebottlenecks.Laval&Daganzo11IntroductionFreewaylanechanginghasreceivedincreasedscienti¯cattentionduringthelastdecade.Researchhasproducedbothqualitativeconjectures(1{5)andempiricalevidence(6{9),butaquantitativeunderstandingofitsimpactsontra±c°owremai

7、nselusive.Thispaperattemptsto¯llthisgap.Itconsidersfreewaysectionsawayfromdiverges,wherethemainincentivefordriverstochangelanesisincreasingtheirspeed.1Themainthesisisthatalane-changingvehicleactsasamovingbottleneckonitsdestinationlanewhileacceleratingtothespeedp

8、revailingonthelane,andthattheensuingdisruptioncantriggerotherlanechanges.Thefreewayisthereforemodeledasasetofinteractingstreamslinkedbythelanechanges.Theproposedmodel