On Microscopic Traffic Models, Intersections and Fundamental Diagrams

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dc.contributor.authorMcGregor, Geoffrey
dc.contributor.supervisorIllner, Reinhard
dc.date.accessioned2013-05-07T15:26:37Z
dc.date.available2013-05-07T15:26:37Z
dc.date.copyright2013en_US
dc.date.issued2013-05-07
dc.degree.departmentDept. of Mathematics and Statisticsen_US
dc.degree.levelMaster of Science M.Sc.en_US
dc.description.abstractWe design an Ordinary Delay Differential Equation model for car to car interaction with switching between four distinct force terms including "free acceleration'', "follow acceleration'', "follow braking'', and aggressive driving''. We calibrate this model by recreating a real experiment on spontaneous formation of traffic jams. Once simulations of our model match those of the experiment we develop a model of both intersections using traffic lights, and intersections using roundabouts. Using our calibrated car interaction model we compare traffic light versus roundabout efficiencies in both flux and fuel consumption. We also use simulation results to extract information relevant to macroscopic traffic models. A relationship between flux and density known as The Fundamental Diagram is derived, and we discuss a technique for comparing microscopic to macroscopic models.en_US
dc.description.proquestcode0405en_US
dc.description.proquestemailgmcgrego@uvic.caen_US
dc.description.scholarlevelGraduateen_US
dc.identifier.bibliographicCitationR. Illner and G. McGregor, On a Functional-Differential Equation Arising from a Traffic-Flow Model. SIAM Journal of Applied Mathematics, Vol 72, No. 2, pp. 623-645.en_US
dc.identifier.urihttp://hdl.handle.net/1828/4597
dc.languageEnglisheng
dc.language.isoenen_US
dc.rights.tempAvailable to the World Wide Weben_US
dc.subjectModelingen_US
dc.subjectMicroscopic traffic modelen_US
dc.subjectTraffic intersectionsen_US
dc.subjectRoundaboutsen_US
dc.subjectTrafficen_US
dc.subjectFfundamental diagramen_US
dc.titleOn Microscopic Traffic Models, Intersections and Fundamental Diagramsen_US
dc.typeThesisen_US

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