Physics – Data Analysis – Statistics and Probability
Scientific paper
2008-03-18
Tsinghua Science and Technology, vol. 14, no. 2, pp. 252-254, 2009.
Physics
Data Analysis, Statistics and Probability
Scientific paper
10.1016/S1007-0214(09)70037-9
Modeling of headway/spacing between two consecutive vehicles has many applications in traffic flow theory and transport practice. Most known approaches only study the vehicles running on freeways. In this paper, we propose a model to explain the spacing distribution of queuing vehicles in front of a signalized junction based on random-matrix theory. We show that the recently measured spacing distribution data well fit the spacing distribution of a Gaussian symplectic ensemble (GSE). These results are also compared with the spacing distribution observed for car parking problem. Why vehicle-stationary-queuing and vehicle-parking have different spacing distributions (GSE vs GUE) seems to lie in the difference of driving patterns.
Jin Xuexiang
Li Li
Su Yuelong
Zhang Yi
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