Technical Papers
Aug 20, 2012

Cellular Automaton Modeling of the Interaction between Vehicles and Pedestrians at Signalized Crosswalk

Publication: Journal of Transportation Engineering
Volume 138, Issue 12

Abstract

Characteristics of mixed traffic on a road with a signalized crosswalk are investigated by cellular automaton modeling. The interaction mechanism between vehicles and pedestrians is taken into account. Also, the inordinate behavior of vehicles near the crosswalk, and various behaviors of three types of pedestrians (i.e., careful pedestrians, normal pedestrians, and riskers), are incorporated into the proposed model. By using numerical simulations, the case for pedestrian flow consisting of careful and normal pedestrians is investigated. Phase diagrams and spatiotemporal diagrams are presented to show different traffic states. The results show that there is a critical value that divides the vehicle flow into a free flow portion and a congested flow portion. Interestingly, there are two critical values for pedestrian flow for a large signal cycle value, whereas there is only one critical value when the signal cycle value is smaller than a critical value. Finally, the variation of violating frequency against time during a signal cycle is investigated. It is found that there are two local maximum values on the frequency curves when the pedestrians consist of all three types, and this phenomenon is coincident with the qualitatively real traffic.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

We appreciate Dr. Hongwei Guo for providing the real traffic data. This work is partially supported by the National Basic Research Program of China (973 Program) (Grant No. 2012CB725401), the National Natural Science Foundation of China under Project (Grant No. 71071012), the Fundamental Research Funds for the Central Universities (Grant Nos. 2012JBM065), and the Innovation Foundation of Science and Technology for Excellent Doctorial Candidate of Beijing Jiaotong University (Grant No. 141046522).

References

Cho, H. J., and Wu, Y. T. (2004). “Modeling and simulation of motorcycle traffic flow.” Proc., 2004 IEEE Int. Conf. on Systems, Man, and Cybernetics, IEEE, Hague, Netherlands, 1705, 6262–6267.
Faghri, A., and Egyháiová, E. (1999). “Development of a computer simulation model of mixed motor vehicle and bicycle traffic on an urban road network.”, Transportation Research Board, Washington, DC, 86–93.
Guo, H. W., Gao, Z. Y., Yang, X. B., and Jiang, X. B. (2011). “Modeling pedestrian violation behavior at signalized crosswalks in China: A hazards-based duration approach.” Traffic Inj. Prev., 12(1), 96–103.
Helbing, D., Jiang, R., and Treiber, M. (2005). “Analytical investigation of oscillations in intersecting flows of pedestrian and vehicle traffic.” Phys. Rev. E, 72(4), 046130.
Hubbard, S. M. L., Bullock, D. M., and Mannering, F. L. (2009). “Right turns on green and pedestrian level of service: Statistical assessment.” J. Transp. Eng., 135(4), 153–159.
Jiang, R., Helbing, D., Shukla, P. K., and Wu, Q. S. (2006). “Inefficient emergent oscillations in intersecting driven many-particle flows.” Physica A, 368(2), 567–574.
Jiang, R., Wu, Q. S., and Li, X. B. (2002). “Capacity drop due to the traverse of pedestrians.” Phys. Rev. E, 65(3), 036120.
Khan, S. I., and Maini, P. (1999). “Modelling heterogeneous traffic flow.”, Transportation Research Board, Washington, DC, 234–241.
Kirchner, A., and Schadschneider, A. (2002). “Simulation ofevacuation processes using a bionics-inspired cellular automaton model for pedestrian dynamics.” Physica A, 312(1–2), 260–276.
Kruszyna, M., Mackiewicz, P., and Szydlo, A. (2006). “Influence of pedestrians’ entry process on pedestrian delays at signal-controlled crosswalks.” J. Transp. Eng., 132(11), 855–861.
Lee, J. Y. S., Goh, P. K., and Lam, W. H. K. (2005). “New level-of-service standard for signalized crosswalks with bi-directional pedestrian flows.” J. Transp. Eng., 131(12), 957–960.
Lee, J. Y. S., and Lam, W. H. K. (2008). “Simulating pedestrian movements at signalized crosswalks in Hong Kong.” Transp. Res., Part A, 42(10), 1314–1325.
Nagel, K., and Schreckenberg, M. (1992). “A cellular automaton model for freeway traffic.” J. Phys. I (France), 2(12), 2221–2229.
Nambisan, S. S., and Karkee, G. J. (2010). “Do pedestrian countdown signals influence vehicle speeds?”, Transportation Research Board, Washington, DC, 70–76.
Oketch, T. G. (2000). “New modeling approach for mixed-traffic streams with nonmotorized vehicles.”, Transportation Research Board, Washington, DC, 61–69.
Shi, J. G., Chen, Y. Y., Ren, F. T., and Rong, J. (2007). “Research on pedestrian behavior and traffic characteristics at unsignalized midblock crosswalk-case study in Beijing.”, Transportation Research Board, Washington, DC, 23–33.
Schroeder, B. J., and Rouphail, N. M. (2010). “Mixed-priority pedestrian delay models at single-lane roundabouts.”, Transportation Research Board, Washington, DC, 129–138.
Wang, W. H., Guo, H. W., Gao, Z. Y., and Bubb, H. (2011). “Individual differences of pedestrian behaviour in midblock crosswalk and intersection.” Int. J. Crashworthiness, 16(1), 1–9.
Xie, D. F., Gao, Z. Y., Zhao, X. M., and Li, K. P. (2009). “Characteristics of mixed traffic flow with non-motorized vehicles and motorized vehicles at an unsignalized intersection.” Physica A, 388(10), 2041–2050.
Yang, J., Deng, W., Wang, J., Li, Q., and Wang, Z. (2006). “Modeling pedestrians’ road crossing behavior in traffic system micro-simulation in China.” Transp. Res., Part A, 40(3), 280–290.
Zhang, Y., Duan, H. L., and Zhang, Y. (2007). “Modeling mixed traffic flow at crosswalks in micro-simulations using cellular automata.” Tsinghua Sci. Technol., 12(2), 214–222.
Zhao, X. M., Jia, B., and Gao, Z. Y. (2009). “Traffic interactions between motorized vehicles and nonmotorized vehicles near a bus stop.” J. Transp. Eng., 135(11), 894–906.

Information & Authors

Information

Published In

Go to Journal of Transportation Engineering
Journal of Transportation Engineering
Volume 138Issue 12December 2012
Pages: 1442 - 1452

History

Received: Jun 3, 2011
Accepted: Jun 4, 2012
Published online: Aug 20, 2012
Published in print: Dec 1, 2012

Permissions

Request permissions for this article.

Authors

Affiliations

Dong-Fan Xie, Ph.D. [email protected]
Institute of System Science, School of Traffic and Transportation, Beijing Jiaotong Univ., Beijing 100044, P.R. China; and School of Civil and Environmental Engineering, Nanyang Technological Univ., Singapore 639798, Singapore (corresponding author). E-mail: [email protected]
Professor, Institute of System Science, School of Traffic and Transportation, Beijing Jiaotong Univ., Beijing 100044, P.R. China. E-mail: [email protected]
Xiao-Mei Zhao [email protected]
Associate Professor, Institute of System Science, School of Traffic and Transportation, Beijing Jiaotong Univ., Beijing 100044, P.R. China. E-mail: [email protected]
David Z. W. Wang [email protected]
Assistant Professor, School of Civil and Environmental Engineering, Nanyang Technological Univ., Singapore 639798, Singapore. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share