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In this paper the experiment to study the features of pedestrians' walking preference is designed. Then the cellular automata model which considering pedestrians' walking preference features is built, in which the forward-parameter, right-parameter, surpass-parameter and the correction-parameters are included to mend the probability of the pedestrian getting to each neighboring cell. Based on this model and k-nearest-neighbor interaction pattern, the complex network of pedestrians is modeled. The simulation results obtained from the model well illustrate the density-speed curve and density-volume curve. Meanwhile the self-organization phenomena of the bi-direction pedestrian flow can be observed from the model simulation. In the further analysis of the pedestrian flow's basic parameter and the main feature parameters of pedestrians' complex network, it is found out that the average speed and the average path length are changed with the state of the flow. Finally it can be concluded that there is a linear negative correlation between these two parameters by fitting the data; in other words, pedestrian flow with shorter average-path length has a higher average speed.
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Keywords:
- walking preference /
- cellar automata /
- complex network /
- bi-direction pedestrian flow
[1] Helbing D, Molnár P 1995 Phys. Rev. E 51 4282
[2] Dijkstra J, Timmermans H 2002 Automat. Constr. 11 135
[3] Burstedde C, Klauck K, Schadschneider A, Zittartz J 2001 Physica A 295 507
[4] Blue V J, Adler J L 2001 Trans. Res. Part B 35 293
[5] Tajima Y, Takimoto K, Nagatani T 2002 Physica A 313 709
[6] Blue V, Embrechts M, Adler J 1997 IEEE 3 2320
[7] Yue H, Shao C F, Chen X M, Hao H R 2008 Acta Phys. Sin. 57 6901 (in Chinese) [岳昊, 邵春福, 陈晓明, 郝合瑞 2008 物理学报 57 6901]
[8] Yue H, Guan H, Zhang J, Shao C F 2010 Physica A 389 527
[9] Yang L Z, Zhao D L, Li J, Fang T Y 2005 Build. Environ. 40 411
[10] Sarmady S, Haron F, Talib A Z 2011 Simul. Model. Pract. Theory 19 969
[11] Weng W G, Shen S F, Yuan H Y, Fan W C 2007 Physica A 375 668
[12] Fang W F, Yang L Z, Fan W C 2003 Physica A 321 633
[13] Ma J, Song W G, Zhang J, Lo S M, Liao G X 2010 Physica A 389 2101
[14] Yue H, Hao H, Chen X M, Shao C F 2007 Physica A 384 567
[15] Helbing D 1996 Theory and Decision 40 149
[16] Jia B, Gao Z Y, Li K P 2007 Models and Simulations of Traffic System Based on the Theory of Cellar Automaton (1st Ed.) (Beijing: Science Press) p270 (in Chinese) [贾斌, 高自友, 李克平 2007 基于元胞自动机的交通系统建模与模拟(第一版)(北京:科学出版社) 第270页]
[17] Li S B, Wu J J, Gao Z Y, Li Y, Fu B B 2011 Acta Phys. Sin. 60 050701 (in Chinese) [李树彬, 吴建军, 高自友, 林勇, 傅白白 2011 物理学报 60 050701]
[18] Gao Z Y, Zhao X M, Huang H J, Mao B H 2006 J. Trans. Syst. Eng. Inform. Technol. 6 41 (in Chinese) [高自友, 赵小梅, 黄海军, 毛保华 2006 交通运输系统工程与信息 6 41]
[19] Wu J J, Gao Z Y, Sun H J 2008 J. Trans. Syst. Eng. Inform. Technol. 7 69 (in Chinese) [吴建军, 高自友, 孙海军 2008 交通运输系统工程与信息 7 69]
[20] Helbing D, Molnár P, Farkas I J, Bolay K 2001 Environ. Plan. B 28 361
[21] Ballerini M, Cabibbo N, Candelier R, Cavagna A, Cisbani E, Giardina I, Lecomte V, Orlandi A, Parisi G, Procaccini A, Viale M, Zdravkovic V 2008 Proc. Nat. Acad. Sci. 105 1232
[22] Helbling D, Johansson A, Al-Abideen H Z 2007 Phys. Rev. E 75 046109
[23] Tregenza P R 1976 The Design of Interior Circulation (1st Ed.) (New York: Van Nostrand Reinhold Company) p135
[24] Albert R, Barabási A L 2002 Rev. Modern Phys. 74 47
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[1] Helbing D, Molnár P 1995 Phys. Rev. E 51 4282
[2] Dijkstra J, Timmermans H 2002 Automat. Constr. 11 135
[3] Burstedde C, Klauck K, Schadschneider A, Zittartz J 2001 Physica A 295 507
[4] Blue V J, Adler J L 2001 Trans. Res. Part B 35 293
[5] Tajima Y, Takimoto K, Nagatani T 2002 Physica A 313 709
[6] Blue V, Embrechts M, Adler J 1997 IEEE 3 2320
[7] Yue H, Shao C F, Chen X M, Hao H R 2008 Acta Phys. Sin. 57 6901 (in Chinese) [岳昊, 邵春福, 陈晓明, 郝合瑞 2008 物理学报 57 6901]
[8] Yue H, Guan H, Zhang J, Shao C F 2010 Physica A 389 527
[9] Yang L Z, Zhao D L, Li J, Fang T Y 2005 Build. Environ. 40 411
[10] Sarmady S, Haron F, Talib A Z 2011 Simul. Model. Pract. Theory 19 969
[11] Weng W G, Shen S F, Yuan H Y, Fan W C 2007 Physica A 375 668
[12] Fang W F, Yang L Z, Fan W C 2003 Physica A 321 633
[13] Ma J, Song W G, Zhang J, Lo S M, Liao G X 2010 Physica A 389 2101
[14] Yue H, Hao H, Chen X M, Shao C F 2007 Physica A 384 567
[15] Helbing D 1996 Theory and Decision 40 149
[16] Jia B, Gao Z Y, Li K P 2007 Models and Simulations of Traffic System Based on the Theory of Cellar Automaton (1st Ed.) (Beijing: Science Press) p270 (in Chinese) [贾斌, 高自友, 李克平 2007 基于元胞自动机的交通系统建模与模拟(第一版)(北京:科学出版社) 第270页]
[17] Li S B, Wu J J, Gao Z Y, Li Y, Fu B B 2011 Acta Phys. Sin. 60 050701 (in Chinese) [李树彬, 吴建军, 高自友, 林勇, 傅白白 2011 物理学报 60 050701]
[18] Gao Z Y, Zhao X M, Huang H J, Mao B H 2006 J. Trans. Syst. Eng. Inform. Technol. 6 41 (in Chinese) [高自友, 赵小梅, 黄海军, 毛保华 2006 交通运输系统工程与信息 6 41]
[19] Wu J J, Gao Z Y, Sun H J 2008 J. Trans. Syst. Eng. Inform. Technol. 7 69 (in Chinese) [吴建军, 高自友, 孙海军 2008 交通运输系统工程与信息 7 69]
[20] Helbing D, Molnár P, Farkas I J, Bolay K 2001 Environ. Plan. B 28 361
[21] Ballerini M, Cabibbo N, Candelier R, Cavagna A, Cisbani E, Giardina I, Lecomte V, Orlandi A, Parisi G, Procaccini A, Viale M, Zdravkovic V 2008 Proc. Nat. Acad. Sci. 105 1232
[22] Helbling D, Johansson A, Al-Abideen H Z 2007 Phys. Rev. E 75 046109
[23] Tregenza P R 1976 The Design of Interior Circulation (1st Ed.) (New York: Van Nostrand Reinhold Company) p135
[24] Albert R, Barabási A L 2002 Rev. Modern Phys. 74 47
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