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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2006, Vol. 7 Issue (2 ): 15-    DOI: 10.1631/jzus.2006.A0204
    
Numerical analysis on car-following traffic flow models with delay time
Li Li, Shi Peng-fei
Institute of Image Processing and Pattern Recognition, Shanghai Jiao Tong University, Shanghai 200030, China
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Abstract  Effects of the speed relaxation time on the optimal velocity car-following model (OVM) with delay time due to driver reaction time proposed by Bando et al.(1995) were studied by numerical methods. Results showed that the OVM including the delay is not physically sensitive to the speed relaxation times. A modified car-following model is proposed to overcome the deficiency. Analyses of the linear stability of the modified model were conducted. It is shown that coexisting flows appear if the initial homogeneous headway of the traffic flow is between critical values. In addition, phase transitions occur on varying the initially homogeneous headway.

Key words： Car-following models      Delay time      Relaxation time      Phase transitions     
Received: 17 November 2004     
CLC:  U491.112  
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Li Li
Shi Peng-fei
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Li Li, Shi Peng-fei. Numerical analysis on car-following traffic flow models with delay time. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2006, 7(2 ): 15-.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2006.A0204     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2006/V7/I2 /15

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