Summary
In this paper, the traffic behaviors of mixed bicycle flow are investigated by using the multi-value cellular automata (CA) model. Two types of bicycles with different maximum speed are considered in the system. The system of mixed bicycles is investigated under both periodic and open boundary conditions. As to periodic boundary condition, it is shown that under the deterministic case there appear multiple states both in congested flow and free flow regions. Analytical analysis is carried out and is in good agreement with the simulation results. In the stochastic case, the multiple states effect disappears only when both slow and fast bicycles are randomized. As to open boundary condition, the flux in saturated state will not change with different proportion of slow bicycle if only the slow bicycle has randomization effect, but in other cases, they decrease as the proportion of slow bicycle increasing. Spacetime plots are presented to show the evolution of mixed bicycle flow.
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References
Chowdhury D, Santen L, Schadschneider A (2000) Phys. Rep. 329:199–329.
Helbing D (2001) Rev. Mod. Phys. 73:1067–1141.
Nagatani T (2002) Rep. Prog. Phys. 65:1331–1386.
Bando M, Nakayama A, Shibata A, Sugiyama Y (1995) Phys. Rev. E 51:1035–1042.
Lee H Y, Lee H W, Kim D (1998) Phys. Rev. Lett. 81:1130–1133.
Kerner B S, Klenov S L, Wolf D E (2002) J. Phys. A: Math. Gen. 35:9971–10013.
Nagel K, Schreckenberg M (1992) J. Physique I 2:2221–2229.
Li X B, Wu Q S, Jiang R (2001) Phys. Rev. E 64:066128.
Benjamin S C, Johnson N F, Hui P M (1996) J. Phys. A: Math. Gen. 29:3119–3127 Barlovic R, Santen L, Schadschneider A (1998) Eur. Phys. J. B 5:793–800.
Wolfram S (1986) Theory and Applications of Cellular Automata. World Scientific, Singapore.
Nishinari K, Takahashi D (1998) J. Phys. A: Math. Gen. 31:5439–5450.
Nishinari K, Takahashi D (1999) J. Phys. A: Math. Gen. 32:93–104.
Nishinari K, Takahashi D (2000) J. Phys. A: Math. Gen. 33:7709–7720.
Nishinari K (2001) J. Phys. A: Math. Gen. 34:10727–10736.
Matsukidaira J, Nishinari K (2003) Phys. Rev. Lett. 90:088701.
Matsukidaira J, Nishinari K (2004) Int. J. Mod. Phys. C 15:507–515.
Jiang R, Jia B, Wu Q S (2004) J. Phys. A: Math. Gen. 37:2063–2072.
Chowdhury D, Wolf D E, Schreckenberg M (1997) Physica A 235:417–439.
Knospe W, Santen L, Schadschneider A, Schreckenberg M (1999) Physica A 265:614–633.
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Jia, B., Li, XG., Jiang, R., Gao, ZY. (2009). Traffic Behaviors of Mixed Bicycle System in the Multi-Value Cellular Automata Model. In: Appert-Rolland, C., Chevoir, F., Gondret, P., Lassarre, S., Lebacque, JP., Schreckenberg, M. (eds) Traffic and Granular Flow ’07. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77074-9_35
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DOI: https://doi.org/10.1007/978-3-540-77074-9_35
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