A new continuum model for traffic flow and numerical tests

Jiang, Rui; Wu, Qing-Song; Zhu, Zili

doi:10.1016/s0191-2615(01)00010-8

Cited by 540 publications

(292 citation statements)

References 20 publications

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“…The accuracy of the semi-discrete scheme (6)- (7) depends on the accuracy of the reconstruction (4). One can use the second order piecewise linear reconstruction, the third-order piecewise quadratic reconstruction, highly accurate essentially non-oscillatory (ENO) reconstruction, highly accurate WENO reconstruction or highly accurate CWENO reconstruction.…”

Section: Numerical Schemementioning

confidence: 99%

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Numerical Solution of a Two-Class LWR Traffic Flow Model by High-Resolution Central-Upwind Scheme

Chen

Shi

2007

Computational Science – ICCS 2007

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Abstract.A high-resolution semi-discrete central-upwind scheme for solving a two class Lighthill-Whitham-Richards (LWR) traffic flow model is investigated in this paper. This scheme is based on combining a fourthorder central weighted essentially nonoscillatory (CWENO) reconstruction with semi-discrete central-upwind numerical flux. The CWENO re construction is chosen to improve the accuracy and guarantee the non-oscillatory behavior of the present method. The strong stability preserving Runge-Kutta method is used for time integration. The resulting method is applied to simulating several tests such as mixture of the two traffic flows. The simulated results illustrate the effectiveness of the present method.

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Section: Numerical Schemementioning

confidence: 99%

“…In recent years an amount of research was done in implementing and extending the LWR model. Zhang [3] and Jiang et al [4] proposed higher-order continuum models. Wong and Wong [5] presented a multi-class LWR traffic flow model(MCLWR model).…”

Section: Introductionmentioning

confidence: 99%

Numerical Solution of a Two-Class LWR Traffic Flow Model by High-Resolution Central-Upwind Scheme

Chen

Shi

2007

Computational Science – ICCS 2007

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“…It is diffi cult to determine which paper was the fi rst to be published, but according to references, that honor would go to Schaar [15]. A wider preview of theoretical curves, which were considered at the time, and also some more contemporary approaches are set out in papers [4,6,7,8,9,14,21], while the paper [1] contains basic theoretical principles regarding the relation between speed and traffi c fl ow density.…”

Section: Introductionmentioning

confidence: 99%

Modelling of the Interdependence Between Speed and Traffic Flow Density. A Neuro – Fuzzy Logic Approach

Davidović

Stevanovic

2016

JTTTP

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Abstract. The speed-traffi c fl ow density interdependence diagram has a number of varia ons, star ng with the theore cal model, through various empirical models that were developed and models based on actual research done on traffi c fl ow. The func onal interdependence is obtained using the Sugeno fuzzy logic system, where representa ve values proposed in HCM 2010 have been adopted as parameters of output associa on func ons. Subsequently the neural network is trained based on actual traffi c fl ow data, which by adjus ng the associa on func on of the fuzzy logic system yields an output form of the basic traffi c fl ow diagram. It was no ced that this hybrid expert system produces be er output results by applying the "subtrac ve clustering" method on data that are used for training a neural network. Finally, the model was tested on several input data groups, and the interdependence between speed and traffi c fl ow density is shown in graphical form.Keyword. Basic traffi c fl ow diagram, traffi c fl ow theory, neural networks, fuzzy logic, subtrac ve clustering, hybrid expert systems.

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“…The most annoying of these properties is the fact that in these second-order models cars can travel backwards. Second-order models that do not suffer from this deficiency have been presented in (Jiang, Wu, and Zhu 2002;Zhang 2002). …”

Section: Introduction To Traffic Flow Theory: the Lwr Modelmentioning

confidence: 99%

Modeling and Analysis of Manufacturing Systems

Lefeber¹

2007

Chapman &Amp; Hall/CRC Computer &Amp; Information Science Series

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A new continuum model for traffic flow and numerical tests

Cited by 540 publications

References 20 publications

Numerical Solution of a Two-Class LWR Traffic Flow Model by High-Resolution Central-Upwind Scheme

Numerical Solution of a Two-Class LWR Traffic Flow Model by High-Resolution Central-Upwind Scheme

Modelling of the Interdependence Between Speed and Traffic Flow Density. A Neuro – Fuzzy Logic Approach

Modeling and Analysis of Manufacturing Systems

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