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.

Kinetic Description of Bottleneck Effects in Traffic Flow

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