Slow-to-start effect in two-dimensional traffic flow

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Abstract

This paper studies slow-to-start effect in two-dimensional Biham–Middleton–Levine (BML) traffic flow model with traffic light periods T=2τ. In most cases, the model exhibits free flow, jam, and phase separation phenomenon. Nevertheless, when the slow-to-start parameter p=0, and traffic light parameter τ=3 or 5, it is found that phase separation phenomenon does not occur. We have explained this via the evolution process from a designed regular initial configuration. Moreover, it is also found that the free flow self-organizes into grid-like structure when τ is large and the slow-to-start parameter 0<p<1.

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Acknowledgements

We thank Han-Xin Yang for his valuable discussions. This work is funded by the National Important Research Project: (Study on emergency management for non-conventional happened thunderbolts, Grant No. 91024026); the National Natural Science Foundation of China (Grant Nos. 10975126, 11072239), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20093402110032).

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