Enskog-like kinetic models for vehicular traffic
نویسندگان
چکیده
منابع مشابه
Enskog-like Kinetic Models for Vehicular Traffic
In the present paper a general critisicsm of kinetic equations for vehicular traac is given. The necessity of introducing an Enskog-type correction into these equations is shown. An Enskog-like kinetic traac ow equation is presented and uid dynamic equations are derived. This derivation yields new coeecients for the standard uid dynamic equations of vehicular traac. Numerical simulations for in...
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We consider an Enskog-like discrete velocity model which in the limit yields the viscous Lighthill-Whitham-Richards equation used to describe vehicular traffic flow. Consideration is given to a discrete velocity model with two speeds. Extensions to the Aw-Rascle system and more general discrete velocity models are also discussed. In particular, only positive speeds are allowed in the discrete v...
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We have simulated a continuous time version of the Nagel-Schreckenberger model of vehicular traffic on highways and calculated the flux as a function of vehicle density. In the low density regime the flux increases linearly with density but becomes a power law when velocities are allowed to increase without bounds. We have simulated also a modified version in which the state of a vehicle depend...
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 1997
ISSN: 0022-4715,1572-9613
DOI: 10.1007/bf02181481