吉林大学学报(工学版) ›› 2013, Vol. 43 ›› Issue (02): 310-316.

Previous Articles     Next Articles

Influences of time step and cell size on cellular automaton model

JING Ming, DENG Wei, JI Yan-jie, WANG Hao   

  1. School of Transportation, Southeast University, Nanjing 210096, China
  • Received:2012-02-16 Online:2013-03-01 Published:2013-03-01

Abstract: By improving updating rules of NaSch model and adopting time step and cell size as input values of the model, a refined NS model was established and used to study the influence of time step and cell size on road traffic flow evolution and their action mechanisms. Simulation showed that smaller time step can truly reflect the relative motion of vehicles and reduce deterministic deceleration while smaller cell size can accurately describe the change of vehicle velocity and location and reduce "delay" effect caused by cumulative update of travel distance. Simulation results of traffic flow using the refined model have less jam width and speed dispersion, which suggests better system stability. The simulated traffic flow and measured data were in good agreement, which solved the problem that simulated traffic flow of classic NS model is lower than the actual flow.

Key words: engineering of communications and transportation system, cellular automaton, NaSch model, time step, cell size, speed dispersion

CLC Number: 

  • U491
[1] Cremer M, Ludwig J.A fast simulation model for traffic flow on the basis of Boolean operations[J].Math Comp Simul,1986,28: 297-303.

[2] Fukui M,Ishibashi Y. Traffic flow in 1D cellular automaton model including cars moving with high speed[J].Phys Soc Japan,1996,65(6):1868-1870.

[3] Barlovic R, Santen L, Schreckenburg A. Metastable states in cellular automata for traffic flow s[J]. Eur Phy B,1998,5: 793-800.

[4] Benjamin S C,Johnson N F, Hui P M.Cellular automaton models of traffic flow along a highway containing a junction[J].Physica A, 1996,29:3119-3127.

[5] Knopse W, Santen L, Schadschneider A. Toward a realistic microscopic description of highway traffic[J]. Phys A, 2000,33: L477-L485.

[6] Nishinari K,Takahashi D.Analytical properties of ultradiscrete Burgers equation and role-184 cellular automaton[J].Phys A,1998,31:5439-5450.

[7] Wagner P.Traffic simulations using cellular automata:comparison with reality//Proceedings of Workshop in Traffic and Granular Flow, Singapore:World Scientific,1995:199-203.

[8] 雷丽,薛郁,戴世强.交通流的一维元胞自动机敏感驾驶模型[J].物理学报,2003,52(9):2121-2126. Lei Li, Xue Yu, Dai Shi-qiang. One-dimensional sensitive driving cellular automaton model for traffic flow[J]. Acta Phys Sin,2003,52(9):2121-2126.

[9] 薛郁,董力耘,戴世强. 一种改进的一维元胞自动机交通流模型及减速概率的影响[J].物理学报,2001,50(3):445-449. Xue Yu, Dong Li-yun, Dai Shi-qiang. Model of traffic flow and the effect of deceleration probability[J]. Acta Phys Sin,2001,50(3):445-449.

[10] 董力耘,薛郁,戴世强.基于跟车思想的一维元胞自动机交通流模型[J].应用数学和力学,2004, 23(4):331-337. Dong Li-yun, Xue Yu, Dai Shi-qiang. One-dimensional cellular automaton model of traffic flow based on car-following idea[J].Applied Mathematics and Mechanics, 2004, 23(4):331-337.

[11] 刘泓,王慧,张晋,等.基于一维元胞自动机的双跟驰模型//第26届中国控制工程会议,张家界,2007:62-65. Liu Hong,Wang Hui, Zhang Jin,et al. Two-car following model based on one-dimension cellular automaton//Proceedings of the 26th Chinese Control Conference,Zhangjiajie,2007:62-65.

[12] 黄雪峰,董力耘. 加速过程慢启动的细化敏感驾驶交通流模型[J].上海大学学报,2008,14(3):276-280. Huang Xue-feng, Dong Li-yun. Refined sensitive driving traffic flow model with slow-to-start during acceleration[J].Journal of Shanghai University, 2008,14(3):276-280.

[13] 王昊,王炜,陆建,等.基于跟驰理论的车速离散度定义及特性[J].东南大学学报:自然科学版,2009,39(1):161-165. Wang Hao, Wang Wei, Lu Jian, et al. Car-following theory based speed dispersion definition and related properties[J].Journal of Southeast University(Natural Science Edition), 2009,39(1):161-165.
[1] CHEN Yong-heng,LIU Fang-hong,CAO Ning-bo. Analysis of conflict factors between pedestrians and channelized right turn vehicles at signalized intersections [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1669-1676.
[2] LIU Xiang-yu, YANG Qing-fang, KUI Hai-lin. Traffic guidance cell division based on random walk algorithm [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(5): 1380-1386.
[3] LIU Zhao-hui, WANG Chao, LYU Wen-hong, GUAN Xin. Identification of data characteristics of vehicle running status parameters by nonlinear dynamic analysis [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(5): 1405-1410.
[4] LUAN Xin, DENG Wei, CHENG Lin, CHEN Xin-yuan. Mixed Logit model for understanding travel mode choice behavior of megalopolitan residents [J]. 吉林大学学报(工学版), 2018, 48(4): 1029-1036.
[5] CHEN Yong-heng, LIU Xin-shan, XIONG Shuai, WANG Kun-wei, SHEN Yao, YANG Shao-hui. Variable speed limit control under snow and ice conditions for urban expressway in junction bottleneck area [J]. 吉林大学学报(工学版), 2018, 48(3): 677-687.
[6] WANG Zhan-zhong, LU Yue, LIU Xiao-feng, ZHAO Li-ying. Improved harmony search algorithm on truck scheduling for cross docking system [J]. 吉林大学学报(工学版), 2018, 48(3): 688-693.
[7] CHEN Song, LI Xian-sheng, REN Yuan-yuan. Adaptive signal control method for intersection with hook-turn buses [J]. 吉林大学学报(工学版), 2018, 48(2): 423-429.
[8] SU Shu-jie, HE Lu. Transient dynamic congestion evacuation model of pedestrian at walk traffic planning crossroads [J]. 吉林大学学报(工学版), 2018, 48(2): 440-447.
[9] WANG Zhan-zhong, ZHAO Li-ying, JIAO Yu-Ling, CAO Ning-bo. Social force model of pedestrian-bike mixed flow at signalized crosswalk [J]. 吉林大学学报(工学版), 2018, 48(1): 89-97.
[10] HOU Xian-yao, CHEN Xue-wu. Use of public transit information market segmentation based onattitudinal factors [J]. 吉林大学学报(工学版), 2018, 48(1): 98-104.
[11] GAO Kun, TU Hui-zhao, SHI Heng, LI Zhen-fei. Effect of low visibility in haze weather condition on longitudinal driving behavior in different car-following stages [J]. 吉林大学学报(工学版), 2017, 47(6): 1716-1727.
[12] WEI Li-ying, CUI Yu-feng, WEI Jia-rong. Cellular automata model based on local maximum entropy lane-changing rules for electric bicycle flow [J]. 吉林大学学报(工学版), 2017, 47(5): 1436-1445.
[13] YAO Rong-han, ZHANG Xiao-tong, LIAN Lian. Optimization model for controlling reversible approach lanes at signalized intersections [J]. 吉林大学学报(工学版), 2017, 47(4): 1048-1054.
[14] FANG Rui-wei, ZHANG Xie-dong, JIANG Pan. Planning of urban rapid transportation based on SWOT-AHP analysis [J]. 吉林大学学报(工学版), 2017, 47(4): 1055-1060.
[15] LI Ming-da, KUI Hai-lin, MEN Yu-zhuo, BAO Cui-zhu. Aerodynamic drag of heavy duty vehicle with complex underbody structure [J]. 吉林大学学报(工学版), 2017, 47(3): 731-736.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!