采用一个推广的LWR模型研究交通瓶颈效应.通过求解流通量间断的Riemarm问题,得到关于模型解结构的解析结果,由此导出了描述在瓶颈上游车流的排队现象及其队列长度和高度(密度)的一个典型解,并能够构造模型方程的一种δ-映射算法.更有意义的是,表明了通过采用三角形基本图,这一运动学模型能够描述时走时停波.通过数值模拟,验证了数值结果与解析结果的一致性,从而支撑了文章的理论结果.
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 discontinuous flux. This leads to a typical solution that describes a queue upstream of the bottleneck and its width and height, and informs the design of a δ-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.