Stochastic master-equation approach to traffic breakdown caused by reduction of highway lanes
A new stochastic approach to the open, spatial inhomogeneous traffic system at a highway bottleneck due to the reduction of highway lanes based on the Markov processes is proposed. The model is in the context of three-phase traffic theory, where the breakdown phenomenon is associated with a first-order phase transition from the free flow phase to the synchronized flow phase. In addition, a permanent and motionless non-homogeneity that can be considered a deterministic vehicle cluster localized in a neighborhood of the bottleneck is assumed. The appropriate master equation for the car cluster evolution is established. The mean time delay and the associated nucleation rate of traffic breakdown are found and investigated. The nucleation rate of traffic breakdown as a function of the reduction of lane numbers and the coming flow rate per lane is studied. The numerical results exhibit qualitatively same features in comparison with the real traffic.
Xing-li Li Jian-ping Meng Xiang-lin Han Shi-qiang Dai
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
国际会议
The 5th International Conference on Nonlinear Mechanics(第五届国际非线性力学会议)
上海
英文
1049-1054
2007-06-11（万方平台首次上网日期，不代表论文的发表时间）