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Traffic jamming on hexagonal lattice

Author

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  • Maniccam, S

Abstract

A traffic model on hexagonal lattice is studied. The moving objects are modeled as biased random walkers on hexagonal lattice. The hexagonal lattice traffic model is an extension of the square lattice traffic model proposed by Muramatsu et al. (Physica A 267 (1999) 487). The hexagonal and square models are compared. It is found that hexagonal and square models have a phase transition from freely moving state to jammed state at a critical density. The critical density of hexagonal model is greater than that of square model when the drift of moving objects is high. The difference between the critical densities of hexagonal and square models decreases when the drift decreases.

Suggested Citation

  • Maniccam, S, 2003. "Traffic jamming on hexagonal lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 321(3), pages 653-664.
    • Handle: RePEc:eee:phsmap:v:321:y:2003:i:3:p:653-664
    DOI: 10.1016/S0378-4371(02)01549-2
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    Citations

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    Cited by:

    1. Nagatani, Takashi & Nagai, Ryoichi, 2005. "Chaotic and periodic motions of two competing vehicles controlled by traffic lights," Chaos, Solitons & Fractals, Elsevier, vol. 25(1), pages 245-253.
    2. Zhao, Yongxiang & Li, Meifang & Lu, Xin & Tian, Lijun & Yu, Zhiyong & Huang, Kai & Wang, Yana & Li, Ting, 2017. "Optimal layout design of obstacles for panic evacuation using differential evolution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 175-194.
    3. Leng, Biao & Wang, Jianyuan & Zhao, Wenyuan & Xiong, Zhang, 2014. "An extended floor field model based on regular hexagonal cells for pedestrian simulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 119-133.
    4. Ha, Vi & Lykotrafitis, George, 2012. "Agent-based modeling of a multi-room multi-floor building emergency evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(8), pages 2740-2751.
    5. Shang, Hua-Yan & Huang, Hai-Jun & Zhang, Yi-Ming, 2015. "An extended mobile lattice gas model allowing pedestrian step size variable," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 424(C), pages 283-293.
    6. Leng, Biao & Wang, Jianyuan & Xiong, Zhang, 2015. "Pedestrian simulations in hexagonal cell local field model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 532-543.
    7. Zhao, Yongxiang & Zhang, H.M., 2017. "A unified follow-the-leader model for vehicle, bicycle and pedestrian traffic," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 315-327.

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