Simulation of Vehicular Traffic using Macro- and Microscopic Models

To effectively regulate traffic on highways and networks of modern megacities, it is necessary to introduce Intelligent Transport Systems, which include many innovative solutions, in particular, mathematical models for describing the dynamics flows. The article devoted a brief description current state this area its development — from simplest macroscopic microscopic that have become classic developments. Special attention paid original multilane developed by authors within both approaches. model based quasigasdynamic approach, while one uses ideology cellular automata constitutes generalization Nagel-Schreckenberg case. difference representation method apparatus mac-roscopic flows briefly described, followed review main at different stages their development, presented foreign Russian authors. three-phase theory Boris Kerner built framework theory. Examples software modeling are given. flows, continuum approximation constructed analogy with well-known gas dynamics, described. Due introduction lateral speed, generalized An representing Nagel- Schreckenberg case has been further taking into account various driving strategies behavioral aspects. presents overview art field as well traffic.