MODELS OF TRAFFIC FLOW DYNAMICS ON HIGHWAYS

The paper is an analytical review of the currently existing methods traffic flows modeling. movement vehicles on road can be modeled in different ways. Mathematical models as tools that allow us to study complex processes real world, including transport infrastructure, without capital expenditures, are a popular tool for solving many problems various spheres national economy. There several approaches mathematical modeling flows. In microscopic models, law motion each car set, depending its current position, speed, characteristics neighboring cars, and other factors. Microscopic turn, divided into continuous space time, discrete so-called cellular automata. macroscopic flow considered fluid with special properties. equations model establish relationship between flow, density, speed movement, possibly acceleration, so on. Macroscopic also or discrete. change state section branches intersections usually described by partial differential equations. Modeling necessary because active experiments network fraught unpredictable consequences, cases not feasible at all. work presents description analysis their advantages disadvantages.