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An improved coupling lattice model of two-lane traffic flow is proposed by taking into account the effect of the two-lane coupling and lane changing. And the lane changing rate of traffic flow is modified. The analysis of the modified lane changing rate shows that it is in better accordance with the real traffic than the previous ones. The linear stability condition of the extended model is obtained by using the linear stability theory. Numerical simulation also shows that our model can better reproduce the lane changing of traffic flow than previous ones by considering the information of two-lane coupling interaction. And there is unavoidable effect on the two-lane traffic flow from the coupling effect between the two lanes.
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Keywords:
- traffic flow /
- lattice model /
- two lanes /
- simulation
[1] ［1］Lighthill M J, Whitham G B 1955 Proc. Roy. Soc. A 229 317
[2] ［2］Richards P I 1956 Oper. Res. 4 42
[3] ［3］Payne H J 1971 Simul. Coun. Proc. Ser. Math. Syst. 1 51
[4] ［4］Zhang H M 1998 Transp. Res. B 32 485
[5] ［5］Zhang H M 2002 Transp. Res. B 36 275
[6] ［6］Jiang R, Wu Q S 2002 Transp. Res. B 36 405
[7] ［7］Xue Y, Dai S Q 2003 Phys. Rev. E 68 066123
[8] ［8］Daganzo C F 1997 Transp. Res. B 31 83
[9] ［9］Tang T Q, Huang H J 2004 Chin. Sci. Bull. 49 2097
[10] ］Tang T Q, Huang H J 2005 J. Beijing Univ. Aero. Astro. 31 1121
[11] ］Huang H J, Tang T Q, Gao Z Y 2006 Acta Mech. Sin. 22 132
[12] ］Tang C F, Jiang R, Wu Q S 2007 Chin. Phys. 16 1570
[13] ］Peng G H, Sun D H, He H P 2009 Chin. Phys. B 18 468
[14] ］Sun D H, Peng G H 2009 Chin. Phys. B 18 3724
[15] ］Nagatani T 1999 Physica A 264 581
[16] ］Xue Y 2004 Acta Phys. Sin. 53 25 (in Chinese) ［薛郁 2004 53 25］
[17] ］Ge H X, Dai S Q, Xue Y, Dong L Y 2005 Phys. Rev. E 71 066119
[18] ］Nagatani T 1999 Physica A 265 297
[19] ］Tang T Q, Huang H J, Xue Y 2006 Acta Phys. Sin. 55 4026 (in Chinese) ［唐铁桥、 黄海军、 薛郁 2006 55 4026］
[20] ］Liu G Q, Lyrintzis A S, Michalopoulos P G 1996 Appl. Math. Model 20 459
[21] ］Herrmann M, Kerner B S 1998 Physica A 255 163
[22] ］Kerner B S, Konhauser P 1993 Phys. Rev. E 48 2335
[23] ］Feng S W 1998 Ph. D. Dissertation (Shanghai：Shanghai University) (in Chinese) ［冯苏苇 1998 博士学位论文 (上海：上海大学)］
[24] ］Wager P, Nagel K, Wolf D E 1997 Physica A 234 687
[25] ］Knospe W, Santen L, Schadschneider A, Schreckenberg M 2002 J. Phys. A 35 3369
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[1] ［1］Lighthill M J, Whitham G B 1955 Proc. Roy. Soc. A 229 317
[2] ［2］Richards P I 1956 Oper. Res. 4 42
[3] ［3］Payne H J 1971 Simul. Coun. Proc. Ser. Math. Syst. 1 51
[4] ［4］Zhang H M 1998 Transp. Res. B 32 485
[5] ［5］Zhang H M 2002 Transp. Res. B 36 275
[6] ［6］Jiang R, Wu Q S 2002 Transp. Res. B 36 405
[7] ［7］Xue Y, Dai S Q 2003 Phys. Rev. E 68 066123
[8] ［8］Daganzo C F 1997 Transp. Res. B 31 83
[9] ［9］Tang T Q, Huang H J 2004 Chin. Sci. Bull. 49 2097
[10] ］Tang T Q, Huang H J 2005 J. Beijing Univ. Aero. Astro. 31 1121
[11] ］Huang H J, Tang T Q, Gao Z Y 2006 Acta Mech. Sin. 22 132
[12] ］Tang C F, Jiang R, Wu Q S 2007 Chin. Phys. 16 1570
[13] ］Peng G H, Sun D H, He H P 2009 Chin. Phys. B 18 468
[14] ］Sun D H, Peng G H 2009 Chin. Phys. B 18 3724
[15] ］Nagatani T 1999 Physica A 264 581
[16] ］Xue Y 2004 Acta Phys. Sin. 53 25 (in Chinese) ［薛郁 2004 53 25］
[17] ］Ge H X, Dai S Q, Xue Y, Dong L Y 2005 Phys. Rev. E 71 066119
[18] ］Nagatani T 1999 Physica A 265 297
[19] ］Tang T Q, Huang H J, Xue Y 2006 Acta Phys. Sin. 55 4026 (in Chinese) ［唐铁桥、 黄海军、 薛郁 2006 55 4026］
[20] ］Liu G Q, Lyrintzis A S, Michalopoulos P G 1996 Appl. Math. Model 20 459
[21] ］Herrmann M, Kerner B S 1998 Physica A 255 163
[22] ］Kerner B S, Konhauser P 1993 Phys. Rev. E 48 2335
[23] ］Feng S W 1998 Ph. D. Dissertation (Shanghai：Shanghai University) (in Chinese) ［冯苏苇 1998 博士学位论文 (上海：上海大学)］
[24] ］Wager P, Nagel K, Wolf D E 1997 Physica A 234 687
[25] ］Knospe W, Santen L, Schadschneider A, Schreckenberg M 2002 J. Phys. A 35 3369
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