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Models of freeway traffic and control.
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The article was published on 1971-01-01 and is currently open access. It has received 1071 citations till now. The article focuses on the topics: Traffic congestion reconstruction with Kerner's three-phase theory & Traffic flow.read more
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The cell transmission model, part ii: network traffic
TL;DR: This article shows how the evolution of multi-commodity traffic flows over complex networks can be predicted over time, based on a simple macroscopic computer representation of traffic flow that is consistent with the kinematic wave theory under all traffic conditions.
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Resurrection of “second order” models of traffic flow
TL;DR: A new "second order" model of traffic flow is introduced, which replaces the space derivative with a convective derivative and nicely predicts instabilities near the vacuum, i.e., for very light traffic.
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Requiem for second-order fluid approximations of traffic flow
TL;DR: In this paper, it is shown that any continuum model of traffic flow that smooths out all discontinuities in density will predict negative flows and negative speeds (i.e., "wrong way travel") under certain conditions.
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State-of-the-art of vehicular traffic flow modelling
Serge P. Hoogendoorn,P.H.L. Bovy +1 more
TL;DR: This paper presents a overview of some fifty years of modelling vehicular traffic flow, and a rich variety of modelling approaches developed so far and in use today will be discussed and compared.
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A non-equilibrium traffic model devoid of gas-like behavior
TL;DR: A non-equilibrium traffic model shown to be devoid of the gas-like behavior that plagues other higher-order models is presented and is able to explain some of the observed traffic phenomena that challenge old models.