- About this Journal
- Abstracting and Indexing
- Aims and Scope
- Article Processing Charges
- Articles in Press
- Author Guidelines
- Bibliographic Information
- Citations to this Journal
- Contact Information
- Editorial Board
- Editorial Workflow
- Free eTOC Alerts
- Publication Ethics
- Reviewers Acknowledgment
- Submit a Manuscript
- Subscription Information
- Table of Contents
Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 405907, 13 pages
Pedestrian Walking Behavior Revealed through a Random Walk Model
Department of Transportation Engineering, Beijing Institute of Technology, Beijing 100084, China
Received 27 September 2012; Accepted 4 November 2012
Academic Editor: Geert Wets
Copyright © 2012 Hui Xiong et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
- F. Weifeng, Y. Lizhong, and F. Weicheng, “Simulation of bi-direction pedestrian movement using a cellular automata model,” Physica A, vol. 321, no. 3-4, pp. 633–640, 2003.
- W. G. Weng, T. Chen, H. Y. Yuan, and W. C. Fan, “Cellular automaton simulation of pedestrian counter flow with different walk velocities,” Physical Review E, vol. 74, no. 3, Article ID 036102, 7 pages, 2006.
- V. J. Blue and J. L. Adler, “Cellular automata microsimulation for modeling bi-directional pedestrian walkways,” Transportation Research Part B, vol. 35, no. 3, pp. 293–312, 2001.
- Y. F. Yu and W. G. Song, “Cellular automaton simulation of pedestrian counter flow considering the surrounding environment,” Physical Review E, vol. 75, no. 4, Article ID 046112, 8 pages, 2007.
- L. Z. Yang, J. Li, and S. B. Liu, “Simulation of pedestrian counter-flow with right-moving preference,” Physica A, vol. 387, no. 13, pp. 3281–3289, 2008.
- T. Nagatani, “Freezing transition in bi-directional CA model for facing pedestrian traffic,” Physics Letters, Section A, vol. 373, no. 33, pp. 2917–2921, 2009.
- A. Varas, M. D. Cornejo, D. Mainemer et al., “Cellular automaton model for evacuation process with obstacles,” Physica A, vol. 382, no. 2, pp. 631–642, 2007.
- M. Muramatsu, T. Irie, and T. Nagatani, “Jamming transition in pedestrian counter flow,” Physica A, vol. 267, no. 3, pp. 487–498, 1999.
- M. Muramatsu and T. Nagatani, “Jamming transition of pedestrian traffic at a crossing with open boundaries,” Physica A, vol. 286, no. 1, pp. 377–390, 2000.
- Y. Tajima, K. Takimoto, and T. Nagatani, “Scaling of pedestrian channel flow with a bottleneck,” Physica A, vol. 294, no. 1-2, pp. 257–268, 2001.
- Y. Tajima and T. Nagatani, “Clogging transition of pedestrian flow in T-shaped channel,” Physica A, vol. 303, no. 1-2, pp. 239–250, 2002.
- R. Jiang and Q. S. Wu, “The moving behavior of a large object in the crowds in a narrow channel,” Physica A, vol. 364, pp. 457–463, 2006.
- D. Helbing and P. Molnár, “Social force model for pedestrian dynamics,” Physical Review E, vol. 51, no. 5, pp. 4282–4286, 1995.
- W. J. Yu, R. Chen, L. Y. Dong, and S. Q. Dai, “Centrifugal force model for pedestrian dynamics,” Physical Review E, vol. 72, no. 2, Article ID 026112, 7 pages, 2005.
- D. Yanagisawa and K. Nishinari, “Mean-field theory for pedestrian outflow through an exit,” Physical Review E, vol. 76, no. 6, Article ID 061117, 9 pages, 2007.
- H. J. Huang and R. Y. Guo, “Static floor field and exit choice for pedestrian evacuation in rooms with internal obstacles and multiple exits,” Physical Review E, vol. 78, no. 2, Article ID 021131, 9 pages, 2008.
- R. L. Hughes, “A continuum theory for the flow of pedestrians,” Transportation Research Part B, vol. 36, no. 6, pp. 507–535, 2002.
- R. M. Colombo and M. D. Rosini, “Pedestrian flows and non-classical shocks,” Mathematical Methods in the Applied Sciences, vol. 28, no. 13, pp. 1553–1567, 2005.
- L. F. Henderson, “On the fluid mechanics of human crowd motion,” Transportation Research, vol. 8, no. 6, pp. 509–515, 1974.
- D. Helbing, “A fluid-dynamic model for the movement of pedestrians,” Complex Systems, vol. 6, pp. 391–415, 1992.
- Y. Xia, S. C. Wong, and C. W. Shu, “Dynamic continuum pedestrian flow model with memory effect,” Physical Review E, vol. 79, no. 6, Article ID 066113, 8 pages, 2009.
- E. Barkai, R. Metzler, and J. Klafter, “From continuous time random walks to the fractional Fokker-Planck equation,” Physical Review E, vol. 61, no. 1, pp. 132–138, 2000.
- W. F. Spotz and G. F. Carey, “High-order compact scheme for the steady stream-function vorticity equations,” International Journal for Numerical Methods in Engineering, vol. 38, no. 20, pp. 3497–3512, 1995.
- S. Karaa and J. Zhang, “High order ADI method for solving unsteady convection-diffusion problems,” Journal of Computational Physics, vol. 198, no. 1, pp. 1–9, 2004.