Control synthesis for traffic simulation in the urban road network

The problem of maximal traffic capacity in the city at the rush hours by controlling the traffic lights at intersections is considered. The mathematical model of traffic control is given. To describe the model the oriented graph with changeable configuration is used. The model is a system of recurrent equations. It describes the change of traffic at each part of the road after the change of traffic light phase. The optimal control problem for traffic is formulated as a problem of discrete dynamic optimization. To solve the problem the genetic algorithm is used. The example is given. © 2011 IFAC.