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With considering the influence of relative motion of vehicles in car following behavior, safe driving conditions and lane changing rules, a two-lane cellular automaton traffic model is proposed based on car following behavior, which is able to illustrate the system's metastable state near the critical point and produce simulation results that accord with observed data. With simulation data on lane changing behavior, a study is conducted on relationship between traffic density and number of vehicles meeting lane changing conditions. Lane changing function is defined to describe lane change process under standard driving behavior. Analytical solution of the function is obtained and used to predict traffic density that stabilizes after lane change process, which contributes to further research on vehicle lane changing behavior.
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Keywords:
- cellular automaton /
- metastability /
- lane changing rules /
- numerical simulation
[1] Nagel K, Schrekenberg M 1992 J. Phys. I France 2 2221
[2] Wagner P 1996 Traffic and granular flow (Singapore: World Scientific) p193
[3] Fukui M, Ishibashi Y 1996 J．Phys．Soc．Japan 65 1868
[4] Barlovic R, Santen L, Schreckenburg A 1998 Eur. Phys J. B 5 793
[5] Lei L,Xue Y, Dai S Q 2003 Acta Phys. Sin. 52 2121 (in Chinese) [雷丽, 薛郁, 戴世强 2003 52 2121]
[6] Chowdhury D, Wolf D E, Schreckenberg M 1997 Physica A 235 417
[7] Nagel K,Wolf D E, Wagner P 1998 Phys. Rev. E 58 1425
[8] Wagner P, Nagel K, Wolf D E 1997 Physica A 234 687
[9] Rickert M, Nagel K, Schreckenberg M 1996 Physica A 231 534
[10] Knospe W, Santen L, Schadschneider A 1999Physica A 265 614
[11] Wang Y M, Zhou L S, L Y B 2008 China Journal of Highway and Transport 21 89 (in Chinese) [王永明, 周磊山, 吕永波 2008 中国公路学报 21 89]
[12] Wang Y M, Zhou L S, L Y B 2008 Journal of System Simulation 20 1159 (in Chinese) [王永明, 周磊山, 吕永波 2008 系统仿真学报 20 1159]
[13] Schadschneider A 2002 Physica A 313 153
[14] Chowdhury D, Santen L, Schadschneider A 2000 Physics Reports 329 199
[15] Qiang M, Jin X W 2011 Transportation research. C 19 1263
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[1] Nagel K, Schrekenberg M 1992 J. Phys. I France 2 2221
[2] Wagner P 1996 Traffic and granular flow (Singapore: World Scientific) p193
[3] Fukui M, Ishibashi Y 1996 J．Phys．Soc．Japan 65 1868
[4] Barlovic R, Santen L, Schreckenburg A 1998 Eur. Phys J. B 5 793
[5] Lei L,Xue Y, Dai S Q 2003 Acta Phys. Sin. 52 2121 (in Chinese) [雷丽, 薛郁, 戴世强 2003 52 2121]
[6] Chowdhury D, Wolf D E, Schreckenberg M 1997 Physica A 235 417
[7] Nagel K,Wolf D E, Wagner P 1998 Phys. Rev. E 58 1425
[8] Wagner P, Nagel K, Wolf D E 1997 Physica A 234 687
[9] Rickert M, Nagel K, Schreckenberg M 1996 Physica A 231 534
[10] Knospe W, Santen L, Schadschneider A 1999Physica A 265 614
[11] Wang Y M, Zhou L S, L Y B 2008 China Journal of Highway and Transport 21 89 (in Chinese) [王永明, 周磊山, 吕永波 2008 中国公路学报 21 89]
[12] Wang Y M, Zhou L S, L Y B 2008 Journal of System Simulation 20 1159 (in Chinese) [王永明, 周磊山, 吕永波 2008 系统仿真学报 20 1159]
[13] Schadschneider A 2002 Physica A 313 153
[14] Chowdhury D, Santen L, Schadschneider A 2000 Physics Reports 329 199
[15] Qiang M, Jin X W 2011 Transportation research. C 19 1263
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