贾斌,高自友,李克平,等. 基于元胞自动机的交通系统建模与模拟[M]. 北京: 科学出版社,2007. JIA Bin,GAO Zi-you,LI Ke-ping,et al. Models and Simulation of Traffic System Based on the Theory of Cellular Automaton [M]. Beijing: Science Press,2007.
[2]
CREMER M,LUDWIG J. A Fast Simulation Model for Traffic Flow on the Basis of Boolean Operations [J]. Mathematics and Computers in Simulation,1986,28(4): 297-303.
[3]
WOLFRAM S. Statistical Mechanics of Cellular Automata [J]. Reviews of Modern Physics,1983,55(3): 601-644.
[4]
NAGEL K,SCHRECKENBERG M. A Cellular Automaton Model for Freeway Traffic [J]. Journal de Physique I,1992,2(12): 2221-2229.
[5]
BIHAM O,MIDDLETON A A,LEVINE D. Self-organization and a Dynamical Transition in Traffic-flow Models [J]. Physical Review A,1992,46(10): 6124-6127.
TAKAYASU M,TAKAYASU H. 1/f Noise in a Traffic Model [J]. Fractals,1993,1(4): 860-866.
[8]
BENJAMIN S C,JOHNSON N F,HUI P M. Cellular Automata Models of Traffic Flow along a Highway Containing a Junction [J]. Journal of Physics A: Mathematical and General,1996,29(12): 3119-3127.
[9]
BARLOVIC R,SANTEN L,SCHADSCHNEIDER A,et al. Metastable States in Cellular Automata for Traffic Flow [J]. The European Physical Journal B-condensed Matter and Complex Systems,1998,5(3): 793-800.
[10]
FUKUI M,ISHIBASHI Y. Traffic Flow in 1D Cellular Automaton Model Including Cars Moving with High Speed [J]. Journal of the Physical Society of Japan,1996,65(6): 1868-1870.
[11]
LI Xiao-bai, WU Qing-song,JIANG Rui. Cellular Automaton Model Considering the Velocity Effect of a Car on the Successive Car [J]. Physical Review E,2001,64(6): 066128.
[12]
NAGATANI T. Self-organization and Phase Transition in Traffic-flow Model of a Two-lane Roadway [J]. Journal of Physics A: Mathematical and General,1993,26(17): L781-L787.
[13]
NAGATANI T. Dynamical Jamming Transition Induced by a Car Accident in Traffic-flow Model of a Two-lane Roadway [J]. Physica A: Statistical Mechanics and Its Applications,1994,202(3/4): 449-458.
[14]
RICKERT M,NAGEL K,SCHRECKENBERG M,et al. Two Lane Traffic Simulations Using Cellular Automata [J]. Physica A: Statistical Mechanics and Its Applications,1996,231(4): 534-550.
[15]
CHOWDHURY D,WOLF D E,SCHRECKENBERG M. Particle Hopping Models for Two-lane Traffic with Two Kinds of Vehicles: Effects of Lane-changing Rules [J]. Physica A: Statistical Mechanics and Its Applications,1997,235(3/4): 417-439.
[16]
NAGEL K,WOLF D E,WAGNER P,et al. Two-lane Traffic Rules for Cellular Automata: A Systematic Approach [J]. Physical Review E,1998,58(2): 1425-1437.
[17]
PEDERSEN M M,RUHOFF P T. Entry Ramps in the Nagel-Schreckenberg Model [J]. Physical Review E,2002,65(5): 056705.
[18]
DAOUDIA A K,MOUSSA N. Numerical Simulations of a Three-lane Traffic Model Using Cellular Automata [J]. Chinese Journal of Physics,2003,41(6): 671-681.
[19]
SIMON P M,GUTOWITZ H A. Cellular Automaton Model for Bidirectional Traffic [J]. Physical Review E,1998,57(2): 2441-2444.
[20]
DING Zhong-jun,SUN Xiao-yan,LIU Run-ran,et al. Traffic Flow at a Signal Controlled T-shaped Intersection [J]. International Journal of Modern Physics C,2010,21(3): 443-455.
[21]
RUSKIN H J,WANG R L. Modeling Traffic Flow at an Urban Unsignalized Intersection [C]//Computational Science—ICCS 2002. Berlin: Springer,2002: 381-390.
[22]
WANG R L,RUSKIN H J. Modelling Traffic Flow at a Multilane Intersection [C]//Computational Science and Its Applications—ICCSA 2003. Berlin: Springer,2003: 577-586.
[23]
FOULADVAND M E,SADJADI Z,SHAEBANI M R. Characteristics of Vehicular Traffic Flow at a Roundabout [J]. Physical Review E,2004,70(4): 046132.
[24]
JIN Cheng-jie,WANG Wei,JIANG Rui. Cellular Automaton Simulations of a T-shaped Unsignalised Intersection with Refined Configurations [J]. Transportmetrica A: Transport Science,2014,10(3): 273-283.
[25]
NAGATANI T. Anisotropic Effect on Jamming Transition in Traffic-flow Model [J]. Journal of the Physical Society of Japan,1993,62(8): 2656-2662.
[26]
NAGATANI T. Jamming Transition in the Traffic-flow Model with Two-level Crossings [J]. Physical Review E,1993,48(5): 3290-3294.
[27]
GU Gao-qing,CHUNG K H,HUI P M. Two-dimensional Traffic Flow Problems in Inhomogeneous Lattices [J]. Physica A: Statistical Mechanics and Its Applications,1995,217(3/4): 339-347.
[28]
丁建勋,王霓裳,石琴. 考虑立交桥构型的二维交通流BML模型[J]. 交通运输系统工程与信息,2011, 11(6):98-103. DING Jian-xun,WANG Ni-shang,SHI Qin. A Two-dimensional BML Model of Traffic Flow Considering Overpass Configuration[J]. Journal of Transportation Systems Engineering and Information Technology,2011,11(6): 98-103.
[29]
CUESTA J A,MARTNEZ F C,MOLERA J M,et al. Phase Transitions in Two-dimensional Traffic-flow Models [J]. Physical Review E,1993,48(6): R4175-R4178.
[30]
NAGATANI T. Effect of Jam-avoiding Turn on Jamming Transition in Two-dimensional Traffic Flow Model [J]. Journal of the Physical Society of Japan,1994,63(4): 1228-1231.
[31]
NAGATANI T. Effect of Traffic Accident on Jamming Transition in Traffic-flow Model [J]. Journal of Physics A: Mathematical and General,1993,26(19): L1015-L1020.
[32]
FUKUI M,ISHIBASHI Y. Evolution of Traffic Jam in Traffic Flow Model [J]. Journal of the Physical Society of Japan,1993,62(11): 3841-3844.
[33]
BENYOUSSEF A,CHAKIB H,EZ-ZAHRAOUY H. Anisotropy Effect on Two-dimensional Cellular-automaton Traffic Flow with Periodic and Open Boundaries [J]. Physical Review E,2003,68(2): 026129.
[34]
DING Zhong-jun,JIANG Rui,WANG Bing-hong. Traffic Flow in the Biham-Middleton-Levine Model with Random Update Rule [J]. Physical Review E,2011,83(4): 047101.
[35]
CHUNG K H,HUI P M,GU Guo-qing. Two-dimensional Traffic Flow Problems with Faulty Traffic Lights [J]. Physical Review E,1995,51(1): 772-774.
[36]
FENG Su-wei,GU Guo-qing,DAI Shi-qiang. Effects of Traffic Lights on CA Traffic Model [J]. Communications in Nonlinear Science and Numerical Simulation,1997,2(2): 70-74.
[37]
TRK J,KERTSZ J. The Green Wave Model of Two-dimensional Traffic: Transitions in the Flow Properties and in the Geometry of the Traffic Jam [J]. Physica A: Statistical Mechanics and Its Applications,1996,231(4): 515-533.
[38]
孙舵, 汪秉宏. 红绿灯周期对二维交通流的影响及平均场理论[J]. 吉林大学学报: 工学版, 2009, 39(增2):80-82. SUN Duo,WANG Bing-hong. Effects of Traffic Lights Period and Application of Mean-field Theory in Two Traffic Flow [J]. Journal of Jilin University, 2009, 39(S2):80-82.
[39]
DING Zhong-jun,JIANG Rui,LI Ming,et al. Effect of Violating the Traffic Light Rule in the Biham-Middleton-Levine Traffic Flow Model [J]. Europhysics Letters,2012,99(6): 68002.
[40]
SUI Qiao-hong,DING Zhong-jun,JIANG Rui,et al. Slow-to-start Effect in Two-dimensional Traffic Flow [J]. Computer Physics Communications,2012,183(3): 547-551.
[41]
CHOWDHURY D,SCHADSCHNEIDER A. Self-organization of Traffic Jams in Cities: Effects of Stochastic Dynamics and Signal Periods [J]. Physical Review E,1999,59(2): R1311-R1314.
[42]
SCHADSCHNEIDER A,CHOWDHURY D,BROCKFELD E,et al. A New Cellular Automata Model for City Traffic [C]//Traffic and Granular Flow '99. Berlin: Springer,2000: 437-442.
[43]
BROCKFELD E,BARLOVIC R,SCHADSCHNEIDER A,et al. Optimizing Traffic Lights in a Cellular Automaton Model for City Traffic [J]. Physical Review E,2001,64(5): 056132.
[44]
LI Ming,DING Zhong-jun,JIANG Rui,et al. Traffic Flow in a Manhattan-like Urban System [J]. Journal of Statistical Mechanics: Theory and Experiment,2011,12: P12001.
[45]
SHI Jun-qing,CHENG Lin,LONG Jian-cheng,et al. A New Cellular Automaton Model for Urban Two-way Road Networks [J]. Computational Intelligence and Neuroscience,2014,2014: 685047.
