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# VIGRE seminar, spring 2002: Mathematical/Computational Modeling
of Traffic Flow

- Instructor
- Paul Nelson
- Students enrolled
- Paul Dostert, Jody Wilson (graduate mathematics students);
Tongbin Qu, Lelitha Vanajakshi (graduate civil engineering
students); Aaron Watson (graduate nuclear engineering student)
- Description
- Topics discussed are among the following. Overview of types of
models and objectives (Automated Traffic Management Systems).
Traffic stream models (fundamental diagrams) -- theory. The
Lighthill-Whitham model: Theory and computational techniques.
Traffic stream models (fundamental diagrams) -- observational
techniques and results Higher-order continuum models. Queuing
models and travel times. Introduction to car-following models.
Traffic stream models from car-following models. Introduction to
nonlinear dynamics. Car-following models as dynamical systems.
Introduction to cellular automata models. Introduction to the
Prigogine-Herman kinetic model. Traffic stream and continuum models
from the Prigogine-Herman kinetic model. Critique of and
alternatives to the Prigogine-Herman model. Elements of recent
research (largely student presentations of recent research papers),
topics to be dictated by student interests.