THEORETICAL RESEARCH OF THE RELATIONSHIP BETWEEN SPEED, TRAINFLOW DENSITY, AND INTENSITY OF TRAFFIC AT THE RAILWAY LINE

Abstract

The analysis of the relationships between speed, trainflow density and intensity of the train at the railway line was made. The dependences of the incoming and outgoing flows of trains on the density of trains were established. There was also established the dependence of the incoming flow on the speed and the average travel time of trains on the line and the accuracy of the speed. Thus, it was analyzed the relationship between speed, density and traffic flow of trains on the railway station. There was established that the saturation of the traffic capacity causes a drop in average speed. Furthermore, we can conclude that it is impossible to achieve maximum traffic capacity, which is calculated according to analytical formulas. In fact, it was possible to reach approximately 90% of the traffic capacity compared to the analytical calculations. Furthermore, it should be noted that in case there are more than 70 % of maximum quantity of trains on a railway line, there is a sharp decrease of the average speed rate. Thus, for each railway line it is necessary to determine the value of a rational saturation, and in case it is overloaded it is reasonable to reroute some trains on parallel railway lines.