scholarly journals Real-time travel time estimation using macroscopic traffic flow models

Author(s):  
P. Kachroo ◽  
K. Ozbay ◽  
A.G. Hobeika
Author(s):  
Wen Zhang ◽  
Yang Wang ◽  
Xike Xie ◽  
Chuancai Ge ◽  
Hengchang Liu

2020 ◽  
Vol 31 (07) ◽  
pp. 2050097
Author(s):  
Jianzhong Chen ◽  
Ronghui Liu ◽  
Yanmei Hu

Traffic flow models are important tools for traffic management applications such as traffic incident detection and traffic control. In this paper, we propose a novel numerical approximation method for second-order macroscopic traffic flow models. The method is based on the semi-discrete central-upwind numerical flux and high-order reconstructions for spatial discretizations. We then apply the designed high-resolution schemes to three representative types of second-order traffic flow models and perform a variety of numerical experiments to validate the proposed methods. The simulation results illustrate the effectiveness, simplicity and universality of the central-upwind scheme as numerical approximation method for macroscopic traffic flow models.


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