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Applied Interdisciplinary Mathematics Seminars

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Date:  Friday, February 25, 2011

Title:  Traffic Jams: Dynamics and Control

Abstract:  The introduction of the assembly line in the automotive industry about a century ago allowed the mass production of automobiles, which, in turn, revolutionized land transportation. At the same time a problem was also generated that has not yet been resolved: traffic congestion. In this talk I review the most common traffic modeling approaches and present the state-of-the-art methods that may be applied to classify the dynamical behavior of these models. I will demonstrate that using techniques from dynamical systems theory may allow one to characterize the dynamical phenomena behind traffic jam formation. Stable and unstable motions will be identified that may give the skeleton of traffic dynamics and the effects of driver behavior will be explained in determining what state is approached by a vehicular system. These results may also allow one to design cooperative autonomous cruise control (ACC) algorithms that are 'optimized at the system level' and are able to maximize traffic throughput without compromising safety.


Speaker:  Gabor Orosz
Institution:  University of Michigan

 

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