1. bookVolume 22 (2021): Issue 3 (June 2021)
Journal Details
License
Format
Journal
First Published
20 Mar 2000
Publication timeframe
4 times per year
Languages
English
access type Open Access

Modern Sediment Model of Traffic Flow

Published Online: 22 Jun 2021
Page range: 301 - 311
Journal Details
License
Format
Journal
First Published
20 Mar 2000
Publication timeframe
4 times per year
Languages
English
Abstract

The work deals with the mathematical modeling of traffic phenomena. The submitted model is based on a prospective analogy of some described phenomena with particle sedimentation. Both the qualitative analysis of the model and the numerical experiment is carried out. Qualitative results of the research have been compared with the known data of supervision of the traffic on city highways. As a result, the main control parameters which can use for optimal traffic management are highlighted and justified.

Keywords

1. Antonella, F., Simona, S, Silvia, S. (2018) Advances in Industrial Control, Freeway Traffic Modelling and Control. Springer International Publishing AG, 316 p. Search in Google Scholar

2. Brener, A., Balabekov, O. and Yedilbayev, B. (2013) New models of traffic intensity. The 13th World conference on traffic research. Rio de Janeiro, Brazil. Search in Google Scholar

3. Cremer, M., Ludwig, J. (1986) A fast simulation model for traffic flow on the basis of Boolean operations, Math. Comp Simul., 28, 297-303. Search in Google Scholar

4. Chowdhury, D., Santen, L., Schadschneider, A. (2000) Statistical physics of vehicular traffic and some related systems, Phys. Rep., 329, 199-329. Search in Google Scholar

5. Greenberg, H. (1959) An analysis of traffic flow. Operations Research, 7, 79-85. Search in Google Scholar

6. Gasis, D.C. et al. (1959) Car following theory of steady state flow. Operations Research, 7, 499-505. Search in Google Scholar

7. Greenshields, B.D. (1934) A study of traffic capacity. Proc. (US) highway research. board., 14, 448-494. Search in Google Scholar

8. Haight, F.A. (1963) Mathematical theories of traffic flow. Academic Press, New York, London. Search in Google Scholar

9. Helbing, D. (2001) Traffic and related self-driven many-particle systems, Rev. Mod. Phys., 73, 1067. Search in Google Scholar

10. Hindawi (2019) Models and Technologies for Transport System Flow Analysis. Journal of Advanced Transportation, Volume 2019, Article ID 6964943, p. 4 https://doi.org/10.1155/2019/6964943 Search in Google Scholar

11. Hobbs, F. D. (1984) Traffic planning and engineering by, head of environmental modeling and survey unit, University of Birmingham/second edition Pergamon Press, 543 p. Oxford New York, Toronto, Sydney, Paris, Frankfurt. Search in Google Scholar

12. Kerner, B.S., Rehborn, H. (1996) Experimental Features and characteristics of traffic jams. Physical Review E., 53, 1297-1300. Search in Google Scholar

13. Kerner B.S. (2004) The physics of traffic. Springer-Verlag, Berlin, Heidelberg, 688 p. Search in Google Scholar

14. Ligthill, M.J., Whitham, F.R.S. (1995) On kinetic waves II. A theory of traffic flow on crowded roads. Proc. of the Royal Society Ser. A., 229(1178), 317-345. Search in Google Scholar

15. Lubashevsky, I., Mahnke, R., Wagner, P., and Kalenkov, S. (2002) Long-lived states in synchronized traffic flow: Empirical prompt and dynamical trap model. Phys. Rev. E., 66, 016117. Search in Google Scholar

16. Nagel, K., Wagner, R., Woesler, R. (2003) Still flowing. Approaches to traffic flow and traffic jam modeling, January 2. Search in Google Scholar

17. Pell, A, Meingast, A. and Schauer, O. (2016) Trends in Real-time Traffic Simulation Transportation Research Procedia 25C, 1477–1484. University of Applied Sciences Upper Austria, Wehrgrabengasse 1-3, 4400 Steyr, Austria, World Conference on Transport Research - WCTR 2016, Shanghai. 10-15 July 2016. Search in Google Scholar

18. Prigogine, I. (1961) A Boltsman-like approach to the statistical theory of traffic flow/Theory of Traffic Flow. Ed. Herman R. Elsevier, Amsterdam. Search in Google Scholar

19. Prigogine, I., Herman, R. (1971) Kinetic Theory of Vehicular Traffic. Elsevier, N.Y. Search in Google Scholar

20. Treiterer, J., Myers, J.A. (1974) The hysteresis phenomenon in traffic flow. In Proceedings 6th ISTT, 13, Artarmon, New South Wales. Search in Google Scholar

21. Zhiyuan, L., Lele, Z. and David, Z.W. Wang. (2019) Jiangsu Key Laboratory of Urban ITS, Jiangsu Collaborative Innovation Center of Modern Urban Traffic Technologies. Search in Google Scholar

22. Zawar, H., Khan, I., W., and Azeem, S. (2019) A Macroscopic Traffic Model based on Driver Reaction and Traffic Stimuli. Aslam/Appl. Sci., 9, 2848. DOI:10.3390/app9142848 Search in Google Scholar

Recommended articles from Trend MD

Plan your remote conference with Sciendo