Study of the relationship between time and traffic flow on motorways

Abstract

Abstract Mathematical modeling of traffic flow is necessary for development of the Intelligent Transportation Systems, increase in the efficiency of preventive road safety measures, as well as road maintenance planning. The paper presents the results of mathematical modeling of traffic flow on motorways. It bases on data analysis obtained from traffic sensors. In previous studies, a model was obtained for predicting the traffic volume on the roads of the suburban area. However, it is not fully suitable for the assessment of similar processes on the roads outside settlements. The multiplicative model is adopted as the basis. The graphic patterns of the traffic flow distribution, depending on the hour of the day and the day of the week, are given. It bases on the data of traffic flows from the A-322. As the result of approximation, functional dependences in the form of periodic functions were found. The adequacy of the model is evaluated by comparing actual and model data. The results indicate applicability of the proposed model for traffic flow forecasting on any sections of motorways.