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This paper deals with the effects of traffic bottlenecks using an extended Lighthill-Whitham-Richards (LWR) model. The solution structure is analytically indicated by the study of the Riemann problem characterized by a discontinuous flux. This leads to a typical solution describing a queue upstream of the bottleneck and its width and height, and informs the design of a δ-mapping algorithm. More significantly, it is found that the kinetic model is able to reproduce stop-and-go waves for a triangular fun-damental diagram. Some simulation examples, which are in agreement with the analytical solutions, are given to support these conclusions. 相似文献
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In this paper, we present a new car-following model by taking into account the effects of the traffic interruption probability on the car-following behaviour of the following vehicle. The stability condition of the model is obtained by using the linear stability theory. The modified Korteweg-de Vries (KdV) equation is constructed and solved, and three types of traffic flows in the headway sensitivity space-stable, metastable, and unstable--are classified. Both the analytical and simulation results show that the traffic interruption probability indeed has an influence on driving behaviour, and the consideration of traffic interruption probability in the car-following model could stabilize traffic flow. 相似文献
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Characteristic Parameters of a Wide Cluster in a Higher-Order Traffic Flow Model 总被引:1,自引:0,他引:1 下载免费PDF全文
Nonlinear weak solution theory is applied to determine the parameters of a wide cluster in an "anisotropic" higher-order traffic flow model. These parameters are the maximal and minimal densities and the travelling wave speed in the solution structure, Numerical experiments show that the convergent simulation results arc in good agreement with those obtaincd from the analytical expressions. 相似文献
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