Traffic Flows Optimal Control Problem with Full Information*

Abstract

A traffic flows optimal control problem in an urban road network is considered. It is assumed that all information on the traffic flows and maneuvers is known. The optimal control problem is to find duration of signal phases at controlled intersections that provide optimal traffic estimation in the considered road network. optimization criteria include penalties for violation of constraints. To find the optimal control program a variation genetic algorithm is used. The traffic flow model under study is a mathematical model based on the controlled networks theory. Some properties of the model are discussed. The problem of determining the critical states is formulated. An optimal control problem for a network of four controlled intersections is solved.