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Heterogeneous platoon flow dispersion model based on truncated mixed simplified phase‐type distribution of travel speed
Authors:Yangsheng Jiang  Zhihong Yao  Xiaoling Luo  Weitiao Wu  Xiao Ding  Afaq Khattak
Affiliation:1. School of Transportation and Logistics, Southwest Jiaotong University, Chengdu, Sichuan, China;2. National United Engineering Laboratory of Integrated and Intelligent Transportation, Chengdu, Sichuan, China;3. Department of Civil Engineering, University of Arkansas, Fayetteville, AR, USA;4. School and Civil and Transportation Engineering, South China University of Technology, Guangzhou, Guangdong, China
Abstract:Existing research on platoon dispersion models either describe homogeneous traffic flow feature, or are in lack of analytical solutions. By analyzing the field data, the truncated mixed simplified phase‐type distribution is proved to be capable of capturing the characteristics of heterogeneous traffic flow with an excellent fitting result. In light of this, we derive a generic heterogeneous platoon dispersion model with truncated mixed simplified phase‐type of speed in the forms of integrable functions. Numerical case studies are conducted to compare the performance of the proposed model and the conventional models (i.e., the Robertson model and truncated mixed Gaussian model). The results show that the proposed model not only better captures the platoon dispersion laws of heterogeneous traffic flow, but also presents higher computational efficiency, which provides practical implications on traffic signal control. Copyright © 2017 John Wiley & Sons, Ltd.
Keywords:heterogeneous traffic flow  platoon dispersion model  truncated mixed simplified phase‐type distribution  EM algorithm  signal control
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