Communications - Scientific Letters of the University of Zilina 2021, 23(1):E11-E22 | DOI: 10.26552/com.C.2021.1.E11-E22

Study on the Vehicle Linear Dynamic Interval in a Traffic Flow

Oleg Fyodorovich Danilov1, Victor Ivanovich Kolesov ORCID...1, Denis Alexandrovich Sorokin1, Maxim Leonidovich Gulaev1
1 Federal State Budget Educational Institution of Higher Education "Industrial University of Tyumen" (IUT), Tyumen, Russian Federation

The transportation industry of a modern city involves the effective systems for the road traffic management. To manage any object is impossible without understanding its specifics. The tasks of road traffic management are based on mathematical models of traffic flows. The "following the leader" model based on the linear dynamic interval of vehicles has become widely accepted in the model analysis. The paper discusses the mathematical model of the linear dynamic interval of vehicles; the model is identified structurally and parametrically. Coefficients of the model are analyzed in detail; a generalized assessment of the dynamic performance of the traffic flow, evolved in various road conditions, is given. The study has resulted in the proposed basic models for traffic flows that can be used for algorithmic support of the model analysis of traffic flows and the road traffic management.

Keywords: smart city; dynamic interval; traffic flow; speed; intensity; density; road coverage

Received: March 8, 2020; Accepted: July 11, 2020; Prepublished online: November 13, 2020; Published: January 4, 2021  Show citation

ACS AIP APA ASA Harvard Chicago Chicago Notes IEEE ISO690 MLA NLM Turabian Vancouver
Fyodorovich Danilov, O., Ivanovich Kolesov, V., Alexandrovich Sorokin, D., & Leonidovich Gulaev, M. (2021). Study on the Vehicle Linear Dynamic Interval in a Traffic Flow. Communications - Scientific Letters of the University of Zilina, 23(1), E11-22. doi: 10.26552/com.C.2021.1.E11-E22
Share...
Download citation
  • BibTeX (.bib)
  • Bookends (.ris)
  • EasyBib (.ris)
  • EndNote (.enw)
  • EndNote 8 (.xml)
  • ISI WoS (.isi)
  • Medlars (.medlars)
  • Mendeley (.ris)
  • MODS (.xml)
  • Papers (.ris)
  • RefWorks (.txt)
  • RefManager (.ris)
  • RIS (.ris)
  • MS Word (.xml)
  • Zotero (.ris)
    • Open full article

    References

    1. DIRKS, S., KEELING, M. A vision of smarter cities: how cities can lead the way into a prosperous and sustainable future [online]. U.S.A.: IBM Corporation, 2009. Available from: https://www.ibm.com/downloads/cas/2JYLM4ZA
    2. FOSTER, M. Building and managing an intelligent city. Accenture [online]. 2011, p. 24-25. Available from: http://www.fm-house.com/wp-content/uploads/2015/01/Building-Managing-Intelligent-City.pdf
    3. HEDLUND, J. Smart city 2020: technology and society in the modern city. Microsoft Service Enterprise Architecture paper. 2012, 1, p. 12.
    4. GIFFINGER, R., FERTNER, C., KRAMAR, H., KALASEK, R., PICHLER-MILANOVIC, N., MEIJERS, E. Smart cities ranking of European medium-sized cities [online]. Final report of Centre of Regional Science in Vienna. 2007, p. 7. Available from: http://www.smart-cities.eu/download/smart_cities_final_report.pdf
    5. NEIROTTI, P., DE MARCO, A., GAGLIANO, A., MANGANO, G., SCORANNO, F. Current trends in smart city initiatives: some stylized facts. Cities [online]. 2014, 38, p. 25-36. ISSN 0264-2751. Available from: https://doi.org/10.1016/j.cities.2013.12.010 Go to original source...
    6. BEGICH, Y. E., SHERSTOBITOVA, P. A. The concept of smart city as a strategy to manage urban infrastructure. Construction of Unique Buildings and Structures [online]. 2017, 8(59), p. 27-40. ISSN 2304-6295. Available from: https://doi.org/10.18720/CUBS.59.2
    7. DANILOV, O. F., KOLESOV, V. I., SOROKIN, D. A. Development of criteria for transport flow efficiency assessments of the city street road network. MATEC Web of Conferences [online]. 2016, 73, 01010. ISSN 2261-236X. Available from: https://doi.org/10.1051/matecconf/20167301010 Go to original source...
    8. DANILOV, O. F., KOLESOV, V. I., SOROKIN, D. A. Development of mathematical model for traffic flow within speed limitation. MATEC Web of Conferences [online]. 2016, 73, 01028. ISSN 2261-236X. Available from: https://doi.org/10.1051/matecconf/20167301028 Go to original source...
    9. CHANDLER, R. E., HERMAN, R., MONTROLL, E. W. Traffic dynamics: studies in car following. Operations Research [online]. 1958, 6(2), p. 165-184. ISSN 0030-364X, eISSN 1526-5463. Available from: https://doi.org/10.1287/opre.6.2.165 Go to original source...
    10. GAZIS, D. C., HERMAN, R., ROTHERY, R. W. Nonlinear follow-the-leader models of traffic flow. Operations Research [online]. 1961, 9(4), p. 545-567. ISSN 0030-364X, eISSN 1526-5463. Available from: https://doi.org/10.1287/opre.9.4.545 Go to original source...
    11. DREW, D. R. Traffic flow theory and control. New York: McGraw-Hill, 1968. ISBN 978-0070178311.
    12. WIEDEMANN, R. Road traffic flow simulation / Simulation des Strassenverkehrsflusses (in German). Karlsruhe: Series of publications from the Institute of Transportation at the University of Karlsruhe / Schriftenreihe des Instituts fur Verkehrswesen der Universitat Karlsruhe, 1974. Available from: https://www.worldcat.org/title/simulation-des-straenverkehrsflusses/oclc/634105860
    13. GIPPS, P. G. A behavioural car-following model for computer simulation. Transportation Research Part B: Methodological [online]. 1981, 15(2), p. 105-111. ISSN 0191-2615. Available from: https://doi.org/10.1016/0191-2615(81)90037-0 Go to original source...
    14. FRITZSCHE, H. T. A model for traffic simulation. Traffic Engineering and Control. 1994, 35(5), p. 317-321. ISSN 0041-0683. ISSN 0041-0683.
    15. SEARLE, J. Equations for speed, time and distance for vehicles under maximum acceleration. In: Safety Technology session of the 1999 SAE International Congress and Exposition and is included in the SAE Special Publication, "Advances in Safety Technology 1999" (SP-1433): proceedings. Society of Automotive Engineers. 1999. ISBN 0768003652, p. 1-11. Go to original source...
    16. TREIBER, M., HENNECKE, A., HELBING, D. Congested traffic states in empirical observations and microscopic simulations. Physical Review E [online]. 2000, 62(2), 1805. ISSN 2470-0045, eISSN 2470-0053. Available from: https://doi.org/10.1103/PhysRevE.62.1805 Go to original source...
    17. JIANG, R., WU, Q., ZHU, Z. Full velocity difference model for a car-following theory. Physical Review E [online]. 2001, 64(1), 017101. ISSN 2470-0045, eISSN 2470-0053. Available from: https://doi.org/10.1103/PhysRevE.64.017101 Go to original source...
    18. NEWELL, G. F. A simplified car-following theory: a lower order model. Transportation Research Part B: Methodological [online]. 2002, 36(3), p. 195-205. ISSN 0191-2615. Available from: https://doi.org/10.1016/S0191-2615(00)00044-8 Go to original source...
    19. OLSTAM, J. J., TAPANI, A. Comparison of car-following models [online]. Swedish National Road and Transport Research Institute, 2004. Available from: https://www.researchgate.net/publication/265198439_Comparison_of_Car-following_models
    20. RAKHA, H. Validation of Van Aerde's simplified steady state car-following and traffic stream model. Transportation Letters - The International Journal of Transportation Research [online]. 2009, 1(3), p. 227-244. ISSN 1942-7867, eISSN 1942-7875. Available from: https://doi.org/10.3328/TL.2009.01.03.227-244 Go to original source...
    21. INOSE, H., HAMADA, T. Traffic management. Moscow: Transport, 1983.
    22. GASNIKOV, A. V. Introduction to mathematical modeling of traffic flows. Moscow: MIPT, 2010. ISBN 978-5-7417-0334-2.
    23. NATHAN, G., CARROLL, J., AJAY, K. Traffic flow theory: a state of the art report [online]. Washington DC, 2001. Available from: https://www.academia.edu/39779635/Traffic_Flow_Theory_A_State-of-the-Art_Report
    24. PUGACHEV, I. N., GOREV, A. E., OLESHENKO, E. M. Organization of road traffic and traffic safety. manual for graduate students. Moscow: Academia Publishing House, 2009. ISBN 978-5-7695-4662-4.
    25. SOTSKOV, D. A., NUZHDIN, R. V., KUNAKOV, A. P., NAZAROV, A. G. Modeling of emergency brake application in traffic flow [online]. Analytical and expert support for road traffic safety system: collection of reports. St. Petersburg: GASU, 2006, p. 16-21. Available from: http://www.adf.spbgasu.ru/Conference2006/section_4.pdf
    26. GUDKOV, V. A. Safety of transport units (vehicles). Manual for graduate students. Moscow: Hotline - Telecom, 2010. ISBN 978-5-9912-0090-5.
    27. BAKHTINA, O. N. Study on characteristics of traffic flow in conditions prior to traffic congestion [online]. Organization of road traffic and traffic safety in large cities: collection of reports. St. Petersburg: GASU, 2008, p. 168-171. Available from: http://lib.madi.ru/fel/fel1/fel10B008.pdf
    28. GOST R 51709 Motor vehicles. Safety requirements for technical condition and verification methods [online]. Introduced 2002-01-01. Moscow: Publishing House of Standards, 2001. Available from: http://docs.cntd.ru/document/gost-r-51709-2001
    29. VASILIEV, A. P. Reference encyclopedia of a road builder. Book 2. Repair and maintenance of roads [online]. Moscow, 2004. Available from: http://science.totalarch.com/book/0502.rar
    30. KAPSKI, D., KASYANIK, V., LOBASHOV, O., VOLYNETS, A., KAPTSEVICH, O., GALKIN, A. Estimating the parameters of traffic flows on the basis of processing of localization data on the movement of vehicles. Communications - Scientific Letters of the University of Zilina [online]. 2019, 21(2), p. 89-99. ISSN 1335-4205, eISSN 2585-7878. Available from: http://komunikacie.uniza.sk/index.php/communications/article/view/1474 Go to original source...

    This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International License (CC BY 4.0), which permits use, distribution, and reproduction in any medium, provided the original publication is properly cited. No use, distribution or reproduction is permitted which does not comply with these terms.


    Return to the content