A cellular automaton model for the road in front of elementary and middle school gates during students going to school

Chen Jing; Pang Ming-Bao; Yang Min

doi:10.7498/aps.63.094502

Abstract

Based on the studies on traffic bottleneck of road, interference area, and mixed traffic flow, a cellular automaton model for the roads in front of elementary and middle school gates during students going to school is established. Characteristics of traffic flow are discussed via the simulation experiment. Effects of the traffic flow and the traffic volume are analyzed including the proportion of student driving private cars, the proportion of school buses, and the command giving by traffic policeman on the scene. Results of examples given in this paper show that traffic safety can be ensured, the traffic jams can be suppressed, and the goal of achieving largest traffic flow and decreasing the passing time of vehicles can be realized by decreasing the proportion of student driving private cars, increasing the proportion of school buses, and assisting the traffic policeman to command on the scene.

Keywords:

Authors and contacts

1.
Transportation Department, School of Civil Engineering, Hebei University of Technology, Tianjin 300401, China
Funds: Project supported by the National Natural Science Foundation of China (Grant No. 50478088), and the Natural Science Foundation of Hebei Province, China (Grant No. E2011202073).

References

[1]	Fred Mannering 2009 Transportation Research Part F 12 99
[2]	Li S B, Wu J J, Gao Z Y, Lin Y, Fu B B 2011 Acta Phys. Sin. 60 050701(in Chinese) [李书彬, 吴建军, 高自友, 林勇, 傅白白 2011 物理学报 60 050701]
[3]	Nikolas Geroliminis, Daganzo C F 2008 Transportation Research Part B 42 759
[4]	Soyoung Ahn, Sravani Vadlamani, Jorge Laval 2013 Transportation Research Part C 34 138
[5]	Sheng P, Zhao S L, Wang J F, Zuo H 2010 Acta Phys. Sin. 59 3831 (in Chinese) [盛鹏, 赵树龙, 王俊峰, 左航 2010 物理学报 59 3831]
[6]	Jia B, Li X G, Jiang R, Gao Z Y 2009 Acta Phys. Sin. 58 6845(in Chinese) [贾斌, 李新刚, 姜锐, 高自友 2009 物理学报 58 6845]
[7]	Li Q D, Dong L Y, Dai S Q 2009 Acta Phys. Sin. 58 7584(in Chinese) [李庆定, 董力耘, 戴世强 2009 物理学报 58 7584]
[8]	Ding J X, Huang H J 2010 Acta Phys. Sin. 59 3093(in Chinese) [丁建勋, 黄海军 2010 物理学报 59 3093]
[9]	Mei C Q, Huang H J, Tang T Q 2008 Acta Phys. Sin. 57 4786 (in Chinese) [梅超群, 黄海军, 唐铁桥 2008 物理学报 57 4786]
[10]	Sun Z, Jia B, Li X G 2012 Acta Phys. Sin. 61 100508(in Chinese) [孙泽, 贾斌, 李新刚 2012 物理学报 61 100508]
[11]	He Z C, Sun W B, Zhang L C, Xu F F, Zhuang L J 2013 Acta Phys. Sin. 62 168901(in Chinese) [何兆成, 孙文博, 张力成, 许菲菲, 庄立坚 2013 物理学报 62 168901]
[12]	Dong C F, Ma X, Wang B H 2012 Physics Letters A 374 1326
[13]	Wang M, Zeng J W, Qian Y S, Li W J, Yang F, Jia X X 2012 Chin. Phys. B 21 070502
[14]	Yang W D, Wang T 2012 Physics Procedia 25 917
[15]	Teng Y F, Gao Z Y, Jia B, Li F 2008 Acta Phys. Sin. 57 1365(in Chinese) [腾亚帆, 高自友, 贾斌, 李峰 2008 物理学报 57 1365]
[16]	Hua X D, Wang W, Wang H 2011 Acta Phys. Sin. 60 084502(in Chinese) [华雪东, 王炜, 王昊 2011 物理学报 60 084502]
[17]	Takashi Nagatani 2010 Physics Letters A 374 2823
[18]	Zhang J J, Pang M B, Ren S S 2012 Acta Phys. Sin. 61 244503(in Chinese) [张晶晶, 庞明宝, 任沙沙 2012 物理学报 61 244503]
[19]	Li F, Zhang X Y, Gao Z Y 2007 Physica A 374 827
[20]	Li S C, Kong L J, Liu M R, Zheng R S 2009 Acta Phys. Sin. 58 2276 (in Chinese) [李盛春, 孔令江, 刘慕仁, 郑容森 2009 物理学报 58 2276]
[21]	Jiang J S, Dong L Y 2012 Acta Phys. Sin. 61 214503(in Chinese) [江金胜, 董力耘 2012 物理学报 61 214503]
[22]	Jia B, Gao Z Y, Li K P, Li X G 2007 Models and Simulations of Traffic System Based on the Theoty of Cellular Automaton (Vol.1) (Beijing: Science Press) p113 (in Chinese) [贾斌, 高自友, 李克平, 李新刚 2007 基于元胞自动机的交通系统建模与模拟(第一卷)(北京:科学出版社) 第113页]
[23]	Xiang Z T, Xiong L 2013 Chin. Phys. B 22 028901
[24]	Yang X F, Mao W, Fu Q 2013 Acta Phys. Sin. 62 240511 (in Chinese) [杨晓芳, 茅威, 付强 2013 物理学报 62 240511]
[25]	Zhang X Q, Wang Y, Hu Q H 2014 Acta Phys. Sin. 63 010508 (in Chinese) [张兴强, 汪滢, 胡庆华 2014 物理学报 63 010508]
[26]	Zhao X M, Xie D F, Li H O 2012 Physics Procedia 24 1052
[27]	Wang Y M 2010 Journal of System Simulation. 22 2149(in Chinese) [王永明 2010 系统仿真学报 22 2149]

Cited By

[1]	Fred Mannering 2009 Transportation Research Part F 12 99
[2]	Li S B, Wu J J, Gao Z Y, Lin Y, Fu B B 2011 Acta Phys. Sin. 60 050701(in Chinese) [李书彬, 吴建军, 高自友, 林勇, 傅白白 2011 物理学报 60 050701]
[3]	Nikolas Geroliminis, Daganzo C F 2008 Transportation Research Part B 42 759
[4]	Soyoung Ahn, Sravani Vadlamani, Jorge Laval 2013 Transportation Research Part C 34 138
[5]	Sheng P, Zhao S L, Wang J F, Zuo H 2010 Acta Phys. Sin. 59 3831 (in Chinese) [盛鹏, 赵树龙, 王俊峰, 左航 2010 物理学报 59 3831]
[6]	Jia B, Li X G, Jiang R, Gao Z Y 2009 Acta Phys. Sin. 58 6845(in Chinese) [贾斌, 李新刚, 姜锐, 高自友 2009 物理学报 58 6845]
[7]	Li Q D, Dong L Y, Dai S Q 2009 Acta Phys. Sin. 58 7584(in Chinese) [李庆定, 董力耘, 戴世强 2009 物理学报 58 7584]
[8]	Ding J X, Huang H J 2010 Acta Phys. Sin. 59 3093(in Chinese) [丁建勋, 黄海军 2010 物理学报 59 3093]
[9]	Mei C Q, Huang H J, Tang T Q 2008 Acta Phys. Sin. 57 4786 (in Chinese) [梅超群, 黄海军, 唐铁桥 2008 物理学报 57 4786]
[10]	Sun Z, Jia B, Li X G 2012 Acta Phys. Sin. 61 100508(in Chinese) [孙泽, 贾斌, 李新刚 2012 物理学报 61 100508]
[11]	He Z C, Sun W B, Zhang L C, Xu F F, Zhuang L J 2013 Acta Phys. Sin. 62 168901(in Chinese) [何兆成, 孙文博, 张力成, 许菲菲, 庄立坚 2013 物理学报 62 168901]
[12]	Dong C F, Ma X, Wang B H 2012 Physics Letters A 374 1326
[13]	Wang M, Zeng J W, Qian Y S, Li W J, Yang F, Jia X X 2012 Chin. Phys. B 21 070502
[14]	Yang W D, Wang T 2012 Physics Procedia 25 917
[15]	Teng Y F, Gao Z Y, Jia B, Li F 2008 Acta Phys. Sin. 57 1365(in Chinese) [腾亚帆, 高自友, 贾斌, 李峰 2008 物理学报 57 1365]
[16]	Hua X D, Wang W, Wang H 2011 Acta Phys. Sin. 60 084502(in Chinese) [华雪东, 王炜, 王昊 2011 物理学报 60 084502]
[17]	Takashi Nagatani 2010 Physics Letters A 374 2823
[18]	Zhang J J, Pang M B, Ren S S 2012 Acta Phys. Sin. 61 244503(in Chinese) [张晶晶, 庞明宝, 任沙沙 2012 物理学报 61 244503]
[19]	Li F, Zhang X Y, Gao Z Y 2007 Physica A 374 827
[20]	Li S C, Kong L J, Liu M R, Zheng R S 2009 Acta Phys. Sin. 58 2276 (in Chinese) [李盛春, 孔令江, 刘慕仁, 郑容森 2009 物理学报 58 2276]
[21]	Jiang J S, Dong L Y 2012 Acta Phys. Sin. 61 214503(in Chinese) [江金胜, 董力耘 2012 物理学报 61 214503]
[22]	Jia B, Gao Z Y, Li K P, Li X G 2007 Models and Simulations of Traffic System Based on the Theoty of Cellular Automaton (Vol.1) (Beijing: Science Press) p113 (in Chinese) [贾斌, 高自友, 李克平, 李新刚 2007 基于元胞自动机的交通系统建模与模拟(第一卷)(北京:科学出版社) 第113页]
[23]	Xiang Z T, Xiong L 2013 Chin. Phys. B 22 028901
[24]	Yang X F, Mao W, Fu Q 2013 Acta Phys. Sin. 62 240511 (in Chinese) [杨晓芳, 茅威, 付强 2013 物理学报 62 240511]
[25]	Zhang X Q, Wang Y, Hu Q H 2014 Acta Phys. Sin. 63 010508 (in Chinese) [张兴强, 汪滢, 胡庆华 2014 物理学报 63 010508]
[26]	Zhao X M, Xie D F, Li H O 2012 Physics Procedia 24 1052
[27]	Wang Y M 2010 Journal of System Simulation. 22 2149(in Chinese) [王永明 2010 系统仿真学报 22 2149]

[1]	Hua Xue-Dong, Wang Wei, Wang Hao. A hybrid traffic flow model with considering the influence of adaptive cruise control vehicles and on-ramps. Acta Physica Sinica, 2016, 65(8): 084503. doi: 10.7498/aps.65.084503
[2]	Zhang Ning-Xi, Zhu Hui-Bing, Lin Heng, Huang Meng-Yuan. One-dimensional cellular automaton model of traffic flow considering dynamic headway. Acta Physica Sinica, 2015, 64(2): 024501. doi: 10.7498/aps.64.024501
[3]	Zhang Xing-Qiang, Wang Ying, Hu Qing-Hua. Research and simulation on cellular automaton model of mixed traffic flow at intersection. Acta Physica Sinica, 2014, 63(1): 010508. doi: 10.7498/aps.63.010508
[4]	Zhang Jing-Jing, Pang Ming-Bao, Ren Sha-Sha. Characteristic analysis of traffic flow in variable speed limit section of freeway based on cellular automaton model. Acta Physica Sinica, 2012, 61(24): 244503. doi: 10.7498/aps.61.244503
[5]	Yang Ling-Xiao, Zhao Xiao-Mei, Gao Zi-You, Zheng Jian-Feng. Bi-directional pedestrian flow model with traffic convention. Acta Physica Sinica, 2011, 60(10): 100501. doi: 10.7498/aps.60.100501
[6]	Wu Jian-Jun, Xu Shang-Yi, Sun Hui-Jun. Detrended fluctuation analysis of time series in mixed traffic flow. Acta Physica Sinica, 2011, 60(1): 019502. doi: 10.7498/aps.60.019502
[7]	Bai Ke-Zhao, Chen Rui-Xiong, Liu Mu-Ren, Kong Ling-Jiang, Zheng Rong-Sen. Study of the grade roundabout crossing. Acta Physica Sinica, 2009, 58(7): 4500-4505. doi: 10.7498/aps.58.4500
[8]	Jia Bin, Li Xin-Gang, Jiang Rui, Gao Zi-You. The influence of bus stop on the dynamics of traffic flow. Acta Physica Sinica, 2009, 58(10): 6845-6851. doi: 10.7498/aps.58.6845
[9]	Li Qing-Ding, Dong Li-Yun, Dai Shi-Qiang. Investigation on traffic bottleneck induce by bus stopping with a two-lane cellular automaton model. Acta Physica Sinica, 2009, 58(11): 7584-7590. doi: 10.7498/aps.58.7584
[10]	Ding Jian-Xun, Huang Hai-Jun, Tang Tie-Qiao. A cellular automaton model of traffic considering the dynamic evolution of velocity randomization probability. Acta Physica Sinica, 2009, 58(11): 7591-7595. doi: 10.7498/aps.58.7591
[11]	Tian Li-Jun, Liu Tian-Liang, Huang Hai-Jun. Comparative studies on information feedback strategies in traffic networks with overlaping routes. Acta Physica Sinica, 2008, 57(4): 2122-2129. doi: 10.7498/aps.57.2122
[12]	Xiao Rui-Jie, Kong Ling-Jiang, Liu Mu-Ren. The influence of the length and the velocy of vehicles on the mixed traffic flow in one-lane highway. Acta Physica Sinica, 2007, 56(2): 740-746. doi: 10.7498/aps.56.740
[13]	Han Xiang-Lin, Jiang Chang-Yuan, Ge Hong-Xia, Dai Shi-Qiang. A modified coupled map car-following model based on application of intelligent transportation system and control of traffic congestion. Acta Physica Sinica, 2007, 56(8): 4383-4392. doi: 10.7498/aps.56.4383
[14]	Lei Li, Dong Li-Yun, Song Tao, Dai Shi-Qiang. Study on the traffic flow of weaving section in elevated road system with cellular automaton model. Acta Physica Sinica, 2006, 55(4): 1711-1717. doi: 10.7498/aps.55.1711
[15]	Zheng Rong-Sen, Tan Hui-Li, Kong Ling-Jiang, Liu Mu-Ren. A cellular automaton model for mixing traffic in two-lane system. Acta Physica Sinica, 2005, 54(8): 3516-3522. doi: 10.7498/aps.54.3516
[16]	Ge Hong-Xia, Zhu Hui-Bing, Dai Shi-Qiang. Cellular automaton traffic flow model considering intelligent transportation system. Acta Physica Sinica, 2005, 54(10): 4621-4626. doi: 10.7498/aps.54.4621
[17]	Chen Yan－Hong, Xue Yu. Effects of the stochastic delay probability on traffic flow. Acta Physica Sinica, 2004, 53(12): 4145-4150. doi: 10.7498/aps.53.4145*
[18]	Peng Lin, Tan Hui-Li, Wu Da-Yan, Liu Mu-Ren, Kong Ling-Jiang. A study on multi-speed cellular automata model of traffic flow of main-road with two-lane under the traffic light control. Acta Physica Sinica, 2004, 53(9): 2899-2904. doi: 10.7498/aps.53.2899
[19]	Lei Li, Xue Yu, Dai Shi-Qiang. One-dimensional sensitive driving cellular automaton model for traffic flow. Acta Physica Sinica, 2003, 52(9): 2121-2126. doi: 10.7498/aps.52.2121
[20]	WANG BING-HONG, WANG LEI, HUI PAK-MING, HU BAMBI. THE GRADUAL ACCELERATING TRAFFIC FLOW GELLULAR AUTOMATON MODEL IN WHICH ONLY HIG H SPEED CAR CAN BE DELAYED. Acta Physica Sinica, 2000, 49(10): 1926-1932. doi: 10.7498/aps.49.1926

Catalog

Vol. 63, Issue 9 - 2014-05-05

Metrics

Abstract views: 8135
PDF Downloads: 17569
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板