Результаты поиска по 'macroscopic hydrodynamic models':
Найдено статей: 4
  1. Kholodov Y.A., Alekseenko A.E., Vasilev M.O., Kholodov A.S.
    Developing the mathematical model of road junction by the hydrodynamic approach
    Computer Research and Modeling, 2014, v. 6, no. 4, pp. 503-522

    The purpose of this paper is to develop a macroscopic hydrodynamic model describing the vehicular traffic on a road junction and taking into account the distribution of traffic light phases and the existing road markings.

    Keywords: vehicular traffic, the state equation, hyperbolic equation systems, traffic flows, phenomenological models, red light phases, road markings.
    Views (last year): 4.
  2. Alekseenko A.E., Kholodov Y.A., Kholodov A.S., Goreva A.I., Vasilev M.O., Chekhovich Y.V., Mishin V.D., Starozhilets V.M.
    Development, calibration and verification of mathematical model for multilane urban road traffic flow. Part I
    Computer Research and Modeling, 2015, v. 7, no. 6, pp. 1185-1203

    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 Moscows Ring Road.

    Keywords: traffic flow modeling, fundamental diagram, second-order hydrodynamic models.
    Views (last year): 4. Citations: 2 (RSCI).
  3. Kholodov Y.A., Alekseenko A.E., Kholodov A.S., Vasilev M.O., Mishin V.D.
    Development, calibration and verification of mathematical model for multilane urban road traffic flow. Part II
    Computer Research and Modeling, 2015, v. 7, no. 6, pp. 1205-1219

    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.
    Views (last year): 3.
  4. Morozov I.I., Gasnikov A.V., Tarasov V.N., Kholodov Y.A., Kholodov A.S.
    Numerical study of traffic flows by the hydrodynamic models
    Computer Research and Modeling, 2011, v. 3, no. 4, pp. 389-412

    The purpose of this paper is to generalize the macroscopic hydrodynamic vehicular traffic models by using the algorithm for constructing the adequate state equation — dependence the pressure from traffic density by taking into account the real experimental data (possibly using the parametric solutions for model equations). It is proved that this kind of state equation which closed model equations system and obtained from the experimentally observed form of the fundamental diagram — dependence the traffic intensity from its density, completely determines the all properties of the used phenomenological model.

    Keywords: vehicular traffic, the state equation, hyperbolic equation systems, traffic flows, phenomenological models.
    Views (last year): 7. Citations: 7 (RSCI).

Indexed in Scopus

Full-text version of the journal is also available on the web site of the scientific electronic library eLIBRARY.RU

The journal is included in the Russian Science Citation Index

The journal is included in the RSCI

International Interdisciplinary Conference "Mathematics. Computing. Education"

Copyright © 2009–2024 Institute of Computer Science