Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

For citation:

Kushnikov V. A., Bogomolov A. S., Adamovich K. Y. Mathematical Model for Predicting the Safety Parameters of Regional Road Transport System. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2018, vol. 18, iss. 2, pp. 240-248. DOI: 10.18500/1816-9791-2018-18-2-240-248, EDN: XQFNSX

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
28.05.2018
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Language: 
Russian
Heading: 
Computer Sciences
Article type: 
Article
UDC: 
510.67,519.673
DOI: 
10.18500/1816-9791-2018-18-2-240-248
EDN: 
XQFNSX

Mathematical Model for Predicting the Safety Parameters of Regional Road Transport System

Autors: 
Kushnikov Vadim Alexeevich, Institute of Precision Mechanics and Control, Russian Academy of Sciences (IPTMU RAS)
Bogomolov Alexey Sergeevich, Saratov State University
Adamovich Kseniya Yu., Institute of Precision Mechanics and Control, Russian Academy of Sciences (IPTMU RAS)
Abstract: 

The set of models for prediction the main safety metrics of Russian regional road transport system is developed. The main metrics are taken from the documents the state inspection of traffic safety. This set of models is based on system dynamics and includes the graph of cause-effect relations between variables of the system and the system of nonlinear differential equations. Solving this system allows to analyze the impact of external factors to the variables of models. The adequacy of models was verified using the official statistics of the State Traffic Safety Inspectorate. In this paper presented the forecast of the traffic accidents count. According to the obtained solution the modeling of the traffic accidents dynamics was implemented.

Key words: 
traffic accident
car
traffic safety
accidents
cause-effect approach
system dynamics models
Forrester’s model
Meadows model
References: 
  1. Klyuev V. V, Rezchikov A. F., Bogomolov A. S., Ukov D. A., Filimonyuk L. Yu. System Approach to a Problem of Appraisal of Man-Machine Systems’ Remaining Life. Kontrol’. Diagnostika [Testing. Diagnostics], 2011, no. 8, pp. 9–13 (in Russian).
  2. Bogomolov A. S. Integrated Resource Control of Complex Man-Machine Systems. Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2013, vol. 13, iss. 3, pp. 83–87 (in Russian).
  3. Klyuev V. V., Novozhilov G. V., Rezchikov A. F., Bogomolov A. S. Resource Approach for Security of Systems „Man–Object–Environment“. Moscow, Izdat. Dom „Spektr“, 2014, 158 p. (in Russian).
  4. Novozhilov G. V., Rezchikov A. F., Neymark M. S., Bogomolov A. S., Tsesarskiy L.G., Filimonyuk L. Yu. Human Factor In Aviation Transport Systems. Polyot [Flight], 2013, no. 5, pp. 3–10 (in Russian).
  5. Kluev V. V., Rezchikov A. F., Bogomolov A. S., Koshevaya E. M., Ukov D. A. Cause- Conditional Approach to Resource Management of Furnace in Cement Production . Kontrol’. Diagnostika [Testing. Diagnostics], 2012, no. 7, pp. 30–36 (in Russian).
  6. Kluev V. V., Rezchikov A. F., Bogomolov A. S., Filimonyuk L. Yu. The Conception of Complex Resource for Research of „Man–Object–Environment“ Systems’ Safety. Kontrol’. Diagnostika [Testing. Diagnostics], 2013, no. 8, pp. 44–55 (in Russian).
  7. Kluev V. V., Rezchikov A. F., Bogomolov A. S., Filimonyuk L. Yu. Resources’ Interaction of Complex Man-Machine Systems in Critical Situations. Kontrol’. Diagnostika [Testing. Diagnostics], 2013, no. 4, pp. 41–45 (in Russian).
  8. Kluev V. V., Rezchikov A. F., Kushnikov V. A., Tverdokhlebov V. A., Ivashenko V. A., Bogomolov A. S., Filimonyuk L. Yu. An Analysis of Critical Situations Caused by Unfavorable Concurrence of Circumstances. Kontrol’. Diagnostika [Testing. Diagnostics], 2014, no. 7, pp. 12–16 (in Russian). DOI: https://doi.org/10.14489/td.2014.07.pp.012-016
  9. Bogomolov A. S., Gapchenko A. Yu., Vasylev K. A. Concurrent Approach to the Problem of Modeling Man-Machine Systems. Vector of sciences. Togliatti State University, 2012, no. 4 (22), pp. 26–28 (in Russian).
  10. On Transport Security : Federal Law of 09 February 2007 no. 16-FZ. Rossiyskaya Gazeta [Russian newspaper], 2016, 28 June, Federal issue no. 7007 (139) (in Russian).
  11. Forrester J. W. World Dynamics. MIT Press, 1979. 142 p. (Russ. ed.: Moscow, AST, 2003. 379 p.).
  12. Yandybaeva N. V., Kushnikov V. A. Mathematical model to predict higher school accreditation rates. Large-scale Systems Control. Moscow, ICS RAS, 2013, iss. 41, pp. 314–343 (in Russian).
  13. Yandybaeva N. V. The Principle of System Dynamics for Higher School Educational Process Quality Control. V Mire Nauchnykh Otkrytiy [Siberian Journal of Life Sciences and Agriculture], 2010, no. 2, pt. 3, pp. 46–48 (in Russian).
  14. Kushnikov V. A., Yandybaeva N. V. Applying Forrester model for higher school educational process quality control. Applied Informatics, 2011, no. 3(33), pp. 65–73 (in Russian).
  15. Yandybaeva N. V, Kushnikov V. A. Evaluation of the Quality of the Educational Process in High School on J. Forrester Model Base. Vestnik Saratov State Technical University, 2011, vol. 2, no. 1(55), pp. 176–181 (in Russian).
  16. Yandybaeva N. V., Kozhanova E. R., Kushnikov V. A. Developing Software to Determine Effectiveness of a Higher School. Vestnik Saratov State Technical University, 2014, no. 2(75), pp. 214–219 (in Russian).
  17. Kluev V. V., Rezchikov A. F., Kushnikov V. A., Ivaschenko V. A., Bogomolov A. S., Filimonyuk L. Yu., Yandybaeva N. V. The mathematical models for control, diagnostics and forecasting the national security of the Russian Federation. Kontrol’. Diagnostika [Testing. Diagnostics], 2016, no. 3, pp. 43–51 (in Russian). DOI: https://doi.org/10.14489/td.2016.03.pp.043-051
  18. Yandybaeva N. V, Kushnikov V. A. Mathematical Model for Forecasting of Indicators of Economic Safety of the Russian Federation. Vestnik of Astrakhan State Technical University. Ser.: Management, Computer Science and Informatics, 2014, no. 3, pp. 93–101 (in Russian).
  19. Yandybaeva N. V., Kushnikov V. A. Mathematical model for predicting changes in indicators of national security of Russia. Nauchnoe Obozrenie [Scientific Review], 2015, no. 10–1, pp. 115–121 (in Russian).
  20. Rezchikov A. F., Tsvirkun A. D., Kushnikov V. A., Yandybaeva N. V., Ivaschenko V. A. Methods of predictive assessment of socio-economic indicators of national security. Control Sciences, 2015, no. 5, pp. 37–44 (in Russian).
  21. Yandybaeva N. V. Model of system dynamics for predicting changes in indicators of national security. Mathematical Methods in Technics and Technologies. ММТТ–27. Saratov, Izd-vo Sarat. gos. tekhn. un-ta, 2014, vol. 7, pp. 76–78 (in Russian).
  22. Tsvirkun A. D., Rezchikov A. F., Yandybaeva N. V., Kushnikov V. A. Imitating modeling the parameters of Russian National Security. Upravlenie razvitiem krupnomasshtabnih sistem (MLSD´2014). Moscow, Institute of Precision Mechanics and Control, Russian Academy of Sciences, 2014, pp. 155–163 (in Russian).
  23. Yandybaeva N. V., Kushnikov V. A. Forrester model for predicting changes in indicators of national security of Russia. Upravlenie razvitiem krupnomasshtabnih sistem (MLSD’2015). Moscow, Institute of Precision Mechanics and Control, Russian Academy of Sciences, 2015, vol. 1, pp. 342–348 (in Russian).
  24. Adamovich K. Yu. Mathematical Model for Forecasting of Transport Systems’ Safety Characteristics. Mathematical Methods in Technics and Technologies. ММТТ–28. Saratov, Izd-vo Sarat. gos. tekhn. un-ta, 2015, vol. 6, pp. 146–150.
  25. Khamutova M. V., Kushnikov V. A. Model for Forecasting of Flood Effects. Mathematical Methods in Technics and Technologies. ММТТ–28. Saratov, Izd-vo Sarat. gos. tekhn. un-ta, 2015, vol. 6, pp. 119–122 (in Russian).
  26. Dinamika osnovnykh pokazatelei avariinosti za 7 let (Dynamics of the main accident rates for 7 years). Gosavtoinspektsiia MVD Rossii (Russian Interior Ministry Traffic Police. Site). Available at: https://www.gibdd.ru/stat/charts/ (Accessed 11 July 2016) (in Russian).
Received: 
09.01.2018
Accepted: 
26.04.2018
Published: 
04.06.2018
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