On Mathematical Model of Traffic Control

This paper presents the formation of platoons and their velocity-size distribution in freeway traffic using the stochastic approach. This is aimed at reducing traffic congestions, maintaining safety, increasing highway capacity, limiting the speed of a car by the spacing between it and the car directly ahead and above all reducing motor accidents. Traffic systems shall also be modeled and applied to traffic problems of different kinds to find their solutions. Keywords: Models, Traffics, Platoons, Multi-Agent Systems (MAS