Abstract:
One of the current challenges in optimizing city traffic flow is the intersection traffic light
control. The paper presents a solution to the traffic light control problem using mathematical modeling
and computer design, operating in two- and three-phase modes. In our study we base on the well-known
Lighthill-Whitham condition. Our interest in intersections with two-lane roads is due to the fact that they
make up a significant part of the urban road network. Modern approaches to solving the problem are
based on the analysis of the dataset that contains road intersection average data. The advantage of the
presented approach, which is based on the Lighthill-Whitham condition, is related to the analytical
solution of the optimization problem with consideration of the parameters of traffic flows at signalized
intersections during the peak periods.
Keywords:two-lane intersection, optimization of traffic light operation modes, flow of motor
vehicles, two-phase mode, three-phase mode, intersection lanes, traffic capacity, vehicle load,
intersection blocking condition