PARALLEL SIMULATION AND VISUALIZATION OF TRAFFIC FLOWS USING CELLULAR AUTOMATA THEORY AND QUASIGASDYNAMIC APPROACH

Research dealing with mathematical modeling of vehicular traffic flows on complex urban transport networks using modern supercomputers is presented in this chapter. The micro- and macroscopic models previously created by the authors were further developed in this work. The proposed 2D microscopic model is based on the cellular automata theory and includes various driving strategies. The "slow-to-start" version of the model is developed. 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 study; 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.

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