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Correlation analysis of synchronization flow at a traffic bottleneck

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Abstract

In this paper, we study the correlation characteristics of synchronization flow in a two-lane model with the partial reduced lane based on the Kerner–Klenov–Wolf cellular automation model using the detrended fluctuation analysis (DFA). The local fundamental diagram and cross-correlation near the entry of the partial reduced lane have been analyzed in the periodic boundary condition. The typical two-dimensional scatter diagram in the local fundamental diagram and the noncorrelation of the cross-correlation between the local density and flow reveal characteristics of synchronization flow near the entry of the reduced lane. By the DFA, the synchronized flow at a traffic bottleneck exhibits the characteristics of long-range correlation. The results of investigation indicate that the injection rate, removal rate, and the location of the partial reduced lane have an obvious influence on the change of the scale exponent in the open boundary condition. Moreover, the length of the partial reduced lane has impact on the change of the scale exponent in the periodic boundary condition.

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Acknowledgments

The project supported by the National Natural Science Foundation of China (Grant Nos. 11262003 & 11302125 & 11372147), Shanghai Science and Technology Commission (No. 12PJ1404000), the Graduate Student Innovative Foundation of Guangxi Zhuang Autonomous Region (No. YCSZ2012013) and Innovation Foundation of Shanghai Municipal Ministry of Education (No. 13YZ085).

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Authors and Affiliations

  1. Institute of Physics Science and Engineering, Guangxi University, Nanning , 530004, China

    Li-Si Jia, Wei-zhong Teng, Wei Pan & Yu Xue

  2. Logistics Research Center, Shanghai Maritime University, Shanghai , 200135, China

    Hong-di He

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  1. Li-Si Jia
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  2. Wei-zhong Teng
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  4. Yu Xue
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Correspondence to Yu Xue.

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Jia, LS., Teng, Wz., Pan, W. et al. Correlation analysis of synchronization flow at a traffic bottleneck. Nonlinear Dyn 78, 1801–1809 (2014). https://doi.org/10.1007/s11071-014-1565-0

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