Second-order Time-delayed Traffic Flow Through a Bottleneck

Paul K. Wintz

Unpublished (AM 214 Class Project), 2018

Abstract

We develop a second-order time-delayed and spatially offset follow-the-leader model. The velocity of the lead vehicle is reduced as a function of position to simulate passage through a bottleneck in the road. We discuss conditions in our model that produces both forward and back-propagating waves. To quantify our results, we examine the average velocities of each vehicle and determine whether any collisions between vehicles occur.

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