The Use of Queuing Theory at Research and Optimization of Traffic on the Signal-controlled Road Intersections

The paper describes the methods of queuing theory to solve the problem of optimizing traffic light phases on signal-controlled road intersections. The flow of vehicles on multi-lane roads is described by Poisson processes. In this paper the concept of the effective number of lanes is used which indicates the maximum flow of cars with different modes of traffic lights. Methods of queuing theory helped to obtain explicit solutions of the problem of minimizing delays at signal-controlled road intersection.