منابع مشابه
Maxwell model of traffic flows
We investigate traffic flows using the kinetic Boltzmann equations with a Maxwell collision integral. This approach allows analytical determination of the transient behavior and the size distributions. The relaxation of the car and cluster velocity distributions towards steady state is characterized by a wide range of velocitydependent relaxation scales, R,t(v),R , with R the ratio of the passi...
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where T is the stress tensor, p the hydrostatic pressure, S the extra-stress tensor, A the first RivlinEricksen tensor and μ the dynamic viscosity. Many common fluids show this “Newtonian” behavior and in fact the whole discipline of classical fluid mechanics is based upon this equation. However, the constitutive equation (1) does not show any of the normal stress effects or relaxation phenomen...
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This project studies the effects of vehicle routing on pollution levels. We aim to develop queueing theory based mathematical models to analyse highway traffic flows and focus on focus on the capacity drop and shockwaves. Then we intend to use emission models and plume model to predict air pollution in a wider region. These predictions will be tested using remote sensing data and data from meas...
متن کاملModel predictive control for multi-class traffic flows
In this paper we first present an extension of the macroscopic traffic flow model METANET to multi-class flows. The resulting multi-class model takes into account the differences between, e.g., fast vehicles (cars) and slow vehicles (trucks) including their possibly different free-flow speeds and critical densities. Next, we show how this model can be used in a model-based predictive control ap...
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In this paper, we consider a hyperbolic relaxation system arising from a dynamic continuum traffic flow model. The equilibrium characteristic speed resonates with one characteristic speed of the full relaxation system in this model. Thus the usual sub-characteristic condition only holds marginally. In spite of this obstacle, we prove global in time regularity and finite time singularity formati...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 1999
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.59.88