SIMULATION OF TRAFFIC FLOWS ON ROAD SEGMENTS USING CELLULAR AUTOMATA THEORY AND QUASIGASDYNAMIC APPROACH

The research deals with the creation of mathematical tools for the simulation of vehicular traffic flows on complex urban transport networks using modern supercomputers. The goal of the present paper is further development of micro- and macroscopic models created by the authors earlier. The proposed 2D microscopic model is based on the cellular automata theory. In this work algorithms taking into account various driving strategies have been incorporated into the model. The model is implemented as a program package that includes User interface and Visualization module. The macroscopic model uses the continuous medium approximation: it is constructed by analogy with the quasigasdynamic system of equations. The one dimensional version is proposed in the paper, nevertheless, it allows reproducing changes in the number of lanes as well as possible road entrances and exits. Parallel algorithms adapted to high-performance computing systems have been created for both models, ensuring rapid computations on city road networks.