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Computer Research and Modeling, 2015, Volume 7, Issue 6, Pages 1185–1203 (Mi crm288)  

MODELS IN PHYSICS AND TECHNOLOGY

Development, calibration and verification of mathematical model for multilane urban road traffic flow. Part I

A. E. Alekseenkoab, Ya. A. Kholodovab, A. S. Kholodovab, A. I. Gorevaa, M. O. Vasil'eva, Yu. V. Chekhovichac, V. D. Mishinab, V. M. Starozhiletsa

a Moscow Institute of Physics and Technology, 9, Institutskii per., Dolgoprudnyi, Moscow region, 141700, Russia
b Institute of Computer Aided Design of the Russian Academy of Sciences (ICAD RAS), Moscow, 123056, Russia
c Institution of Russian Academy of Sciences Dorodnicyn Computing Centre of RAS, Moscow, 119333, Russia

Abstract: In this paper, we propose the unified procedure for the development and calibration of mathematical model for multilane urban road traffic flow. We use macroscopic approach, describing traffic flow with the system of second-order nonlinear hyperbolic equations (for traffic density and velocity). We close the resulting model with the equation of vehicle flow as a function of density, obtained empirically for each segment of road network using data from traffic detectors and vehicles' GPS tracks. We verify the developed new model and calibration methods by using it to model segment of Moscow's Ring Road.

Keywords: traffic flow modeling, fundamental diagram, second-order hydrodynamic models.

Funding Agency Grant Number
Russian Foundation for Basic Research 14-01-0060914
Russian Science Foundation 14-11-00877


DOI: https://doi.org/10.20537/2076-7633-2015-7-6-1185-1203

Full text: PDF file (2282 kB)
Full text: http://crm.ics.org.ru/.../2397
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UDC: 519.6
Received: 09.09.2015

Citation: A. E. Alekseenko, Ya. A. Kholodov, A. S. Kholodov, A. I. Goreva, M. O. Vasil'ev, Yu. V. Chekhovich, V. D. Mishin, V. M. Starozhilets, “Development, calibration and verification of mathematical model for multilane urban road traffic flow. Part I”, Computer Research and Modeling, 7:6 (2015), 1185–1203

Citation in format AMSBIB
\Bibitem{AleKhoKho15}
\by A.~E.~Alekseenko, Ya.~A.~Kholodov, A.~S.~Kholodov, A.~I.~Goreva, M.~O.~Vasil'ev, Yu.~V.~Chekhovich, V.~D.~Mishin, V.~M.~Starozhilets
\paper Development, calibration and verification of mathematical model for multilane urban road traffic flow. Part I
\jour Computer Research and Modeling
\yr 2015
\vol 7
\issue 6
\pages 1185--1203
\mathnet{http://mi.mathnet.ru/crm288}
\crossref{https://doi.org/10.20537/2076-7633-2015-7-6-1185-1203}


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