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This article is cited in 6 scientific papers (total in 6 papers)
MODELS IN PHYSICS AND TECHNOLOGY
Numerical study of traffic flows by the hydrodynamic models
I. I. Morozov, A. V. Gasnikov, V. N. Tarasov, Ya. A. Kholodov, A. S. Kholodov Moscow Institute of Physics and Technology, Dolgoprudnyi, Moscow region, 141700, Russia
Abstract:
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.
Received: 23.11.2011
Citation:
I. I. Morozov, A. V. Gasnikov, V. N. Tarasov, Ya. A. Kholodov, A. S. Kholodov, “Numerical study of traffic flows by the hydrodynamic models”, Computer Research and Modeling, 3:4 (2011), 389–412
Linking options:
https://www.mathnet.ru/eng/crm566 https://www.mathnet.ru/eng/crm/v3/i4/p389
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Abstract page: | 193 | Full-text PDF : | 136 | References: | 40 |
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