# American Institute of Mathematical Sciences

June  2014, 7(3): 483-501. doi: 10.3934/dcdss.2014.7.483

## Traffic light control: A case study

 1 Department of Mathematics, University of Mannheim, D-68131 Mannheim 2 School of Business Informatics and Mathematics, University of Mannheim, D-68131 Mannheim, Germany

Received  May 2013 Revised  August 2013 Published  January 2014

This article is devoted to traffic flow networks including traffic lights at intersections. Mathematically, we consider a nonlinear dynamical traffic model where traffic lights are modeled as piecewise constant functions for red and green signals. The involved control problem is to find stop and go configurations depending on the current traffic volume. We propose a numerical solution strategy and present computational results.
Citation: Simone Göttlich, Ute Ziegler. Traffic light control: A case study. Discrete & Continuous Dynamical Systems - S, 2014, 7 (3) : 483-501. doi: 10.3934/dcdss.2014.7.483
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