MODELING THE MOVEMENT OF VEHICLES BASED ON A MACROSCOPIC FUNDAMENTAL DIAGRAM OF THE TRAFFIC FLOW
Jiang Haiyan, Don State Technical University, Rostov-on-Don, Russia, jiang.live.in.rus@mail.ru
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.
Keywords: modeling, state of traffic flow, macroscopic fundamental diagram, patterns of accumulation changes, traffic management strategy.
References
1. V.V. Zyryanov, H. Jiang (2021). Application of a macroscopic fundamental diagram of the traffic flow using video surveillance system data on the road network of Jinan, China. The tenth All-Russian Scientific and practical conference on simulation modeling and its application in science and industry «Simulation modeling. Theory and Practice» (IMMOD-2021). Proceedings of the conference (electronic edition), October 20-22, 2021, St. Petersburg: JSC «TSSC». 694 p. P. 574-580. ISBN 978-5-905526-05-3
2. V.V. Zyryanov (2014). Investigation of the properties of the network main diagram of the traffic flow. Collection of reports of the eleventh international conference «Organization and safety of road traffic in large cities», St. Petersburg State University of Architecture and Civil Engineering, St. Petersburg. P. 66-72.
3. S. Ardekani, R. Herman (1987). Urban network-wide variables and their relation. Transportation Science 21. P. 1-16.
4. C.F. Daganzo (2007). Urban gridlock: macroscopic modeling and mitigation approaches. Transportation Research. Part B 41 (1). P. 49-62.
5. C.F. Daganzo, N. Geroliminis (2008). An analytical approximation for the macroscopic fundamental diagram of urban traffic. Transportation Research. Part B 42 (9). P. 771-781.
6. N. Geroliminis, J. Sun (2011). Properties of a well-defined macroscopic fundamental diagram for urban traffic. Transportation Research. Part B 45 (3). P. 605-617.
7. N. Geroliminis, C.F. Daganzo (2008). Existence of urban-scale macroscopic fundamental diagrams: some experimental findings. Transportation Research. Part B 42 (9). P. 759-770.
8. J. Haddad, N. Geroliminis (2012). On the stability of traffic perimeter control in two-region urban cities. Transportation Research. Part B 46. P. 1159- 1176.
9. R. Herman, I. Prigogine (1979). A two-fluid approach to town traffic. Science 204. P. 148-151.
10. Ji Y., Geroliminis N. (2011). Spatial and temporal analysis of congestion in urban transportation networks. Transportation Research Board Annual Meeting, Washington, DC.
11. R.E. Kalman (1960). Contributions to the theory of optimal control. Boletin Sociedad Matematica Mexicana 5. P. 102-119.
12. H.K. Khalil (2002). Nonlinear Systems, third ed. Prentice Hall.
13. H. Mahmassani, J.C. Williams, R. Herman (1987). Performance of urban traffic networks. Gartner, N.H., Wilson, N.H.M. (Eds.), 10th International Symposium on Transportation and Traffic Theory. Elsevier, Amsterdam, The Netherlands.
14. R. Sastry S. (1999). Nonlinear Systems: Analysis, Stability, and Control. Springer.
15. V. Zyryanov (2019). Simulation Network-Level Relationships of Traffic Flow. IOP Conference Series: Materials Science and Engineering. 698 (2019) 066049 IOP Publishing. doi:10.1088/1757-899X/698/6/066049
Information about author:
Jiang Haiyan, Don State Technical University, Department of Transportation and Traffic Management, postgraduate student, Rostov-on-Don, Russia