Two-Dimensional Cellular Automaton Traffic Model with Randomly Switching Traffic Lights

Gu Guoqing; Hui Pakming; Wang Binghong; Dai Shiqiang

Volume 19 Issue 9

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Article Navigation > Applied Mathematics and Mechanics > 1998 > 19(9): 752-772

Gu Guoqing, Hui Pakming, Wang Binghong, Dai Shiqiang. Two-Dimensional Cellular Automaton Traffic Model with Randomly Switching Traffic Lights[J]. Applied Mathematics and Mechanics, 1998, 19(9): 752-772.

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Two-Dimensional Cellular Automaton Traffic Model with Randomly Switching Traffic Lights

1.
School of Systems Science and Systems Engineering, University of Shanghai for Science and Technology, Shanghai 200093, P.R. China;
2.
Physics Department, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, P.R. China;
3.
Department of Modern Physics, University of Science and Technology of China, Hefei 230026, P.R. China;
4.
Shanghai Institute of Applied Mathematic and Mechanics, Shanghai University, Shanghai 200072, P.R. China

Received Date: 1997-01-31
Publish Date: 1998-09-15

Abstract

Abstract

Cellular automaton traffic models can include various facotrs in traffic systems and the corresponding computational simulations are rather simple and effective.The Biham-MiddletonLevine model (BML model) facilitates the simulation of two-dimensional traffic flow problems via the cellular automaton models.In this paper,the BML model is improved by removing its limitation of synchronized change of traffic lights.In the new model,the traffic light at each crossing could arbitrarily change its starting time and tempo of variation,and hence the model could more realistically describe the influence of traffic lights on the performance of traffic systems.Some new effects appearing in the new model are also elucidated.
- cellular automata,
- traffic model,
- traffic light,
- phase transition

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References(8)

References

[1]	O.Biham,A.A.Middleton and D.Levine,Self-organization and a dynamical transition in traffic flow models,Phys.Rev.,A46(10) (1992),R6124-R 6127.
[2]	T.Nagatani,Jamming transition in the traffic flow model with two-level crossing,Phys.Rev.,E48(5) (1993),3290-3294.
[3]	J.A.Cuesta,F.C.Martinez,J.M.Molerea and A.Sanchez,Phase transition in twodimensional traffic model,Phys.Rev.,E48(6) (1993),R4175-R4178.
[4]	T.Nagatani,Effect of jamavoiding turn on jamming transition in two-dimensional traffic model,J.Phys.Soc.Jpn.,63(4) (1994),1228-1231.
[5]	顾国庆、钟家雄、许伯铭,Two-dimensional traffic flow problems in inhomogeneous lattice,Pysica,A217(1995),339-347.
[6]	钟家雄、许伯铭、顾国庆,Two-dimensional traffic flow problems with faulty traffic lights,Phys. Rev.,E51(1) (1995),772-774.
[7]	S.C.Benjamin,N.F.Johnson 和许伯铭,Cellular automata models of traffic flow along a highway containing a junction,J.Phys.,A29(12) (1996),3119-3127.
[8]	顾国庆、范炳全、许伯铭,交通系统的元胞自动机模型,系统工程理论方法应用,14(1) (1995),12-17.

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