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Based on the pioneer work of Konishi et al, a new coupled map car-following model is presented by considering the headway distance of two successive vehicles in front. The feedback control method presented by Zhao-Gao is utilized to suppress the traffic congestion in the coupled map car-following model. According to the control theory, the condition under which the traffic jam can be suppressed is analyzed. The results are compared with that presented by Konishi et al. The simulation results show that the new model with the feedback control method presented by Zhao-Gao could suppress the traffic jam effectively.
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Keywords:
- traffic flow /
- coupled map car-following model /
- optimal velocity function /
- delayed feedback control
[1] Newell G F 1961 Oper. Res. 9 209
[2] Bando M, Hasebe K, Nakayama A, Shibata A, Sugiyama Y 1995 Phys. Rev. E 51 1035
[3] [4] Tang T Q, Huang H J, Shang H Y 2010 Chin. Phys. B 19 050517
[5] [6] Peng G H 2010 Chin. Phys. B 19 056401
[7] [8] Ge H X, Cheng R J, Li Z P 2008 Physica A 387 5239
[9] [10] [11] Yukawa S, Kikuchi M 1995 J. Phys. Soc. Jpn. 64 35
[12] Tadaki S, Kikuchi M, Sugiyama Y, Yukawa S 1998 J. Phys. Soc. Jpn. 67 2270
[13] [14] [15] Konishi K, Kokame H, Hirata K 1999 Phys. Rev. E 60 4000
[16] Zhao X M, Gao Z Y 2006 Physica A 366 513
[17] [18] Han X L, Jiang C Y, Ge H X, Dai S Q 2007 Acta Phys. Sin. 56 4383 (in Chinese) [韩祥临、 姜长元、 葛红霞、 戴世强 2007 56 4383]
[19] [20] Shen F Y, Ge H X, Zhang H, Yu H M, Lei L 2009 Chin. Phys. B 18 4208
[21] -
[1] Newell G F 1961 Oper. Res. 9 209
[2] Bando M, Hasebe K, Nakayama A, Shibata A, Sugiyama Y 1995 Phys. Rev. E 51 1035
[3] [4] Tang T Q, Huang H J, Shang H Y 2010 Chin. Phys. B 19 050517
[5] [6] Peng G H 2010 Chin. Phys. B 19 056401
[7] [8] Ge H X, Cheng R J, Li Z P 2008 Physica A 387 5239
[9] [10] [11] Yukawa S, Kikuchi M 1995 J. Phys. Soc. Jpn. 64 35
[12] Tadaki S, Kikuchi M, Sugiyama Y, Yukawa S 1998 J. Phys. Soc. Jpn. 67 2270
[13] [14] [15] Konishi K, Kokame H, Hirata K 1999 Phys. Rev. E 60 4000
[16] Zhao X M, Gao Z Y 2006 Physica A 366 513
[17] [18] Han X L, Jiang C Y, Ge H X, Dai S Q 2007 Acta Phys. Sin. 56 4383 (in Chinese) [韩祥临、 姜长元、 葛红霞、 戴世强 2007 56 4383]
[19] [20] Shen F Y, Ge H X, Zhang H, Yu H M, Lei L 2009 Chin. Phys. B 18 4208
[21]
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