Kinetic Description of Bottleneck Effects in Traffic Flow

ZHANG Peng; WU Dong-yan; S. C. Wong; TAO Yi-zhou

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Article Navigation > Applied Mathematics and Mechanics > 2009 > 30(4): 399-408

ZHANG Peng, WU Dong-yan, S. C. Wong, TAO Yi-zhou. Kinetic Description of Bottleneck Effects in Traffic Flow[J]. Applied Mathematics and Mechanics, 2009, 30(4): 399-408.

Citation:

ZHANG Peng, WU Dong-yan, S. C. Wong, TAO Yi-zhou. Kinetic Description of Bottleneck Effects in Traffic Flow[J]. Applied Mathematics and Mechanics, 2009, 30(4): 399-408.

Citation:

ZHANG Peng, WU Dong-yan, S. C. Wong, TAO Yi-zhou. Kinetic Description of Bottleneck Effects in Traffic Flow[J]. Applied Mathematics and Mechanics, 2009, 30(4): 399-408.

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Kinetic Description of Bottleneck Effects in Traffic Flow

1.
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;

Received Date: 2008-10-14
Rev Recd Date: 2009-02-13
Publish Date: 2009-04-15

Abstract

Abstract

The effects of traffic bottlenecks using an extended LWR model are dealt with.The solution structure was analytically indicated by study of the Riemann problem,which is characterized by a discontinuo us flux.This leads to a typical solution that describes a queueupstream of the bottleneck and its width and height,and informs the design of a D-mapping algorithm.More significantly,it was found that the kinetic model is able to reproduce stop-and-go waves for a triangular fundamental diagram.Some simulation examples were given to support these conclusions,and are shown to be in agreement with the analytical solutions.
- LWR model,
- discontinuous flux,
- D-mapping algorithm,
- stop-and-gowaves

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References(23)

References

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