This article is cited in 1 paper

MODELS IN PHYSICS AND TECHNOLOGY

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

Ya. A. Kholodov^ab, A. E. Alekseenko^ab, A. S. Kholodov^ab, M. O. Vasil'ev^a, V. D. Mishin<sup>ab

a</sup> 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), 19/18 2nd Brestskaya st., Moscow, 123056, Russia

Abstract: The goal of this work is to generalize second order mathematical models for automotive flow using algorithm for building state equation — the dependency of pressure on traffic density — which is adequate with regard to real world data. The form of state equation, which closes the system of model equations, is obtained from experimental form of fundamental diagram — the dependency of traffic flow intensity on its density, and completely defines all properties of any phenomenological model. The proposed approach was verified using numerical experiments on typical traffic data, obtained from PeMS system (http://pems.dot.ca.gov/), using segment of I-507 highway in California, USA as model system.

Keywords: automotive flow, traffic flow, macroscopic hydrodynamic models, state equation, phenomenological models.

UDC: 519.6

Received: 06.11.2015

DOI: 10.20537/2076-7633-2015-7-6-1205-1219