Investigation of a mathematical model of a signal-controlled junction

Efficient traffic organization is one of the most urgent problems of the modern society. The choice of optimal control regimes for intersecting traffic flows is a component of this problem. At present, a detailed description of the motion of an individual car and of a traffic flow is developed, which made it possible to create simulation programs that model traffic flows at a signal-controlled junction accurately enough. However, the the problem of developing a compact mathematical description of traffic motion at a junction is still important. We propose a model describing traffic flows through a signal-controlled junction; the model is based on the theory of queuing systems.