On Microscopic Traffic Models, Intersections and Fundamental Diagrams

Date

2013-05-07

Authors

McGregor, Geoffrey

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Abstract

We 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.

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Keywords

Modeling, Microscopic traffic model, Traffic intersections, Roundabouts, Traffic, Ffundamental diagram

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