B. De Schutter, "Optimal traffic light control for a single intersection," Proceedings of the 1999 American Control Conference, San Diego, California, pp. 2195-2199, June 1999.
We consider a traffic light controlled intersection. First we construct a model that describes the evolution of the queue lengths (as continuous variables) in each lane. Next, we discuss how optimal and suboptimal traffic light switching schemes (with possibly variable cycle lengths) for this system can be determined. We also show that for a special class of objective functions suboptimal traffic light switching schemes can be computed very efficiently.