Моделирование передвижения транспортных средств на основе макроскопической фундаментальной диаграммы транспортного потока

Abstract

The article discusses the possibilities of traffic modeling for predicting changes in vehicle accumulation and analyzing the state of traffic flow based on a macroscopic fundamental diagram at the network level. The macroscopic fundamental diagram of the traffic flow is one of the most effective and active methods for predicting the conditions of the functioning of the road network in cities. For the reliability of the study, the transport data of intelligent video surveillance on the street and road network of the central part of the city were used. Jinan (China). Based on the obtained diagrams, a piecewise two-zone system is constructed that can represent all possible states of the traffic flow. The dynamics of the dependence of the transport system between incoming and outgoing flows is shown in the frame of a piecewise two-zone system. For a specific analysis of the state of the traffic flow, modeling was carried out using the MATLAB 2019a mathematical modeling complex. As a result of traffic modeling, specific analytical equations of the system dynamics are obtained and patterns of changes in the accumulation of cars in the considered zones are presented. According to the trend of calculated car accumulation curves, a proposal has been made to design a traffic management strategy in different states of the traffic flow: for those states that are within the limit of collecting attractive curves, it is possible to apply weakened control - for those states that tend to the congestion point in the diagram, it is necessary to apply strict traffic flow control.