ENTraffic flows have been increasing in Lithuanian cities during the last decade. High traffic flows cause air pollution in cities. The requirements for air quality get more and more strict every year within the EU. Lithuania is also obliged to follow the set standards in the process of its integration. Challenges due to evaluation and forecasting of air pollution receive the greatest attention. Other key issues relate to the need to have information on traffic flows and create mathematical models aimed at effective traffic flow management. The balanced traffic flows would by far guarantee the positive improvement in air quality in the cities since congestion and intensive traffic flows are the two major factors responsible for high levels of pollutants in the air. The article introduces a macroscopic traffic flow model [for the street segment], the dynamical shock wave computations and a model of transportation network, developed and analysed in the process. Then, the author provides a solution via application of a correlated cost algorithm so as to evaluate the formed delays due to congestion in the street segment. The methodological part also includes computer-aided experimental methods and the vector evaluation of transport pollution. Characteristics of incoming and outgoing traffic flows, traffic density and velocity [for the street segment] are presented as the results received after application of the developed computer programme. Computation of the shock wave in the characteristics of the traffic density and forecasting of the congestion dispersion is shown. Also, the algorithm for the TMS, evaluating the macroscopic characteristics of traffic flows, and a vector analysis of pollutants are given. Modelling by using this algorithm has shown that routing of traffic flows allows for even distribution of traffic flows in the street segment. Finally, an overall conclusion is presented.