Numerical Methods for Modeling of Traffic Flows at Research and Optimization of Traffic on the Signal-controlled Road Intersections

This article describes the numerical methods of mathematical modeling of traffic flows to meet the challenges of optimizing the traffic light phases at signal-controlled road intersections. The flow of vehicles on multilane roads is described by Poisson process. The paper introduced, justified and calculated concept «effective number of lanes», characterized by a maximum flow of vehicles with different phases of traffic lights.