Technical Papers
Sep 9, 2022

Modeling the Pedestrian Delay at Signalized Intersections with Two-Stage Crossing: Considering Physical Queuing Length

Publication: Journal of Transportation Engineering, Part A: Systems
Volume 148, Issue 11

Abstract

An improved pedestrian delay model was proposed for signalized intersections with a two-stage crossing in this paper. This delay model considers the pedestrian physical queuing length when they are waiting on the curbside and the refuge island. It can significantly improve the estimation accuracy of the second-stage delay for pedestrians. The shock wave theory and a triangular-shaped fundamental diagram were used to model pedestrian queue formation and dissipation. The proposed model is presented in a general form for estimating the first-stage delay and second-stage delay classified in 12 different scenarios. The model was compared with the existing two-stage delay model by microscopic simulations with different signal settings and pedestrian volume settings. Results show our modified model is more accurate than the existing model under medium and high pedestrian arrival rates.

Get full access to this article

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

Data Availability Statement

Some or all data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

This research was supported by the National Key R&D Program, China (2018YFB1601000), National Natural Science Foundation of China (71901060 and 52172342), Jiangsu Provincial Double-Innovation Ph.D. Program (JSSCBS20210108), and China Scholarship Council (202006090205).

References

Alhajyaseen, W., and H. Nakamura. 2009. “A methodology for modeling pedestrian platoon discharge and crossing times at signalized crosswalks.” In Proc., 88th Annual Meeting of the TRB. Washington, DC: Transportation Research Board.
Ban, X., R. Herring, P. Hao, and A. M. Bayen. 2009. “Delay pattern estimation for signalized intersections using sampled travel times.” Transp. Res. Rec. 2130 (1): 109–119. https://doi.org/10.3141/2130-14.
Bie, Y., and Z. Liu. 2015. “Evaluation of a signalized intersection with hook turns under traffic actuated control circumstance.” J. Transp. Eng. 141 (5): 04014093. https://doi.org/10.1061/(ASCE)TE.1943-5436.0000763.
Chaudhari, A., N. Gore, S. Arkatkar, G. Joshi, and S. Pulugurtha. 2020. “Pedestrian crossing warrants for urban midblock crossings under mixed-traffic environment.” J. Transp. Eng. Part A Syst. 146 (5): 04020031. https://doi.org/10.1061/JTEPBS.0000338.
Ishaque, M. M., and R. B. Noland. 2005. “Multimodal microsimulation of vehicle and pedestrian signal timings.” Transp. Res. Rec. 1939 (1): 107–114. https://doi.org/10.1177/0361198105193900113.
Jin, Z. H. 2004. “Quantitative analysis method of pedestrians twice crossing.” [In Chinese.] Urban Roads Bridges Flood Control 4 (Jan): 28–33. https://doi.org/10.16799/j.cnki.csdqyfh.2004.04.007.
Karimpour, A., J. C. Anderson, S. Kothuri, and Y. J. Wu. 2021. “Estimating pedestrian delay at signalized intersections using high-resolution event-based data: A finite mixture modeling method.” J. Intell. Transp. Syst. Technol. Plann. Oper. 2021 (Jan): 1–18. https://doi.org/10.1080/15472450.2021.1926246.
Lao, Y., Y. J. Wu, Y. Wang, and X. Yang. 2013. “Applicability of single and double phase mid-block crossings.” Proc. Inst. Civ. Eng. Transp. 166 (3): 126–136. https://doi.org/10.1680/tran.10.00027.
Li, Q., Z. Wang, J. Yang, and J. Wang. 2005. “Pedestrian delay estimation at signalized intersections in developing cities.” Transp. Res. Part A Policy Pract. 39 (1): 61–73. https://doi.org/10.1016/j.tra.2004.11.002.
Ma, W., X. Yang, W. Pu, and Y. Liu. 2010. “Signal timing optimization models for two-stage midblock pedestrian crossing.” Transp. Res. Rec. 2198 (1): 133–144. https://doi.org/10.3141/2198-15.
Nagraj, R., and P. Vedagiri. 2013. “Modeling pedestrian delay and level of service at signalized intersection crosswalks under mixed traffic conditions.” Transp. Res. Rec. 2394 (1): 70–76. https://doi.org/10.3141/2394-09.
Song, X., Q. Yang, Z. Qu, P. Tao, and Z. Li. 2015. “New model for total crossing time of pedestrian platoon at a signalized crosswalk.” Transp. Res. Rec. 2519 (1): 67–74. https://doi.org/10.3141/2519-08.
Tang, L., Y. Liu, J. Li, R. Qi, S. Zheng, B. Chen, and H. Yang. 2020. “Pedestrian crossing design and analysis for symmetric intersections: Efficiency and safety.” Transp. Res. Part A Policy Pract. 142 (Oct): 187–206. https://doi.org/10.1016/j.tra.2020.10.012.
Wang, X., and Z. Tian. 2010. “Pedestrian delay at signalized intersections with a two-stage crossing design.” Transp. Res. Rec. 2173 (1): 133–138. https://doi.org/10.3141/2173-16.
Wang, Z., L. Zhao, N. Cao, Y. Lu, and M. Chen. 2017. “A modified total crossing time model of bidirectional pedestrians at signalized crosswalks.” Discret. Dyn. Nat. Soc. 2017 (Mar): 22. https://doi.org/10.1155/2017/2190724.
Wu, F., H. Chen, K. Hou, Z. Cheng, and T. Z. Qiu. 2022. “Adaptive pushbutton control for signalized pedestrian midblock crossings.” J. Transp. Eng. Part A Syst. 148 (4): 04022011. https://doi.org/10.1061/JTEPBS.0000659.
Wu, X., G. Wang, D. Fu, T. K. Tong, Z. Zhang, and W. Li. 2019. “Modeling arterial traffic dynamics with actuated signal control using a simplified shockwave model.” IEEE Trans. Intell. Transp. Syst. 21 (11): 4659–4669. https://doi.org/10.1109/TITS.2019.2943246.
Yang, X. F., Q. Fu, and X. G. Yang. 2006. “Setting criterion of pedestrian twice crossing at signalized control link.” [In Chinese.] Zhongguo Gonglu Xuebao 19 (4): 109–113. https://doi.org/10.16799/j.cnki.csdqyfh.2004.04.007.
Ye, X., J. Chen, G. Jiang, and X. Yan. 2015. “Modeling pedestrian level of service at signalized intersection crosswalks under mixed traffic conditions.” Transp. Res. Rec. 2512 (1): 46–55. https://doi.org/10.3141/2512-06.
Yu, C., W. Ma, K. Han, and X. Yang. 2017. “Optimization of vehicle and pedestrian signals at isolated intersections.” Transp. Res. Part B Methodol. 98 (Dec): 135–153. https://doi.org/10.1016/j.trb.2016.12.015.
Yu, C., W. Ma, H. K. Lo, and X. Yang. 2015. “Optimization of mid-block pedestrian crossing network with discrete demands.” Transp. Res. Part B Methodol. 73 (Dec): 103–121. https://doi.org/10.1016/j.trb.2014.12.005.
Yu, C., W. Ma, and X. Yang. 2016. “Integrated optimization of location and signal timings for midblock pedestrian crosswalk.” J. Adv. Transp. 50 (4): 552–569. https://doi.org/10.1002/atr.1360.
Zhao, J., and W. Ma. 2018. “Optimizing vehicle and pedestrian trade-off using signal timing in intersections with center transit lanes.” J. Transp. Eng. Part A Syst. 144 (6): 04018023. https://doi.org/10.1061/JTEPBS.0000145.
Zhao, J., W. Ma, and P. Li. 2017. “Optimal design of midblock crosswalk to achieve trade-off between vehicles and pedestrians.” J. Transp. Eng. Part A Syst. 143 (1): 04016003. https://doi.org/10.1061/JTEPBS.0000006.

Information & Authors

Information

Published In

Go to Journal of Transportation Engineering, Part A: Systems
Journal of Transportation Engineering, Part A: Systems
Volume 148Issue 11November 2022

History

Received: Mar 6, 2022
Accepted: Jun 28, 2022
Published online: Sep 9, 2022
Published in print: Nov 1, 2022
Discussion open until: Feb 9, 2023

Permissions

Request permissions for this article.

Authors

Affiliations

Ph.D. Student, School of Transportation, Southeast Univ., 2 Southeast University Rd., Nanjing 210000, China. ORCID: https://orcid.org/0000-0002-4774-4758. Email: [email protected]
Assistant Professor, School of Civil and Environmental Engineering, Nanyang Technological Univ., 50 Nanyang Ave., Singapore 639798, Singapore. ORCID: https://orcid.org/0000-0002-9814-6053. Email: [email protected]
Assistant Professor, School of Transportation, Southeast Univ., 2 Southeast University Rd., Nanjing 210000, China (corresponding author). ORCID: https://orcid.org/0000-0002-8511-3295. Email: [email protected]
Professor, School of Transportation, Southeast Univ., 2 Southeast University Rd., Nanjing 210000, China. Email: [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

  • Dynamic Systems Modeling and Integrated Transportation Demand-and-Supply Management with a Polynomial Arrival Queue Model, Journal of Transportation Engineering, Part A: Systems, 10.1061/JTEPBS.TEENG-8136, 150, 4, (2024).
  • Exploring Optimal Signal Plans for Isolated Signalized Intersections with Central Pedestrian Refuges, Journal of Transportation Engineering, Part A: Systems, 10.1061/JTEPBS.TEENG-8053, 150, 5, (2024).
  • Pedestrian Waiting Delay at Signalized Midblock Crosswalks under Mixed Traffic Conditions, Journal of Transportation Engineering, Part A: Systems, 10.1061/JTEPBS.TEENG-7541, 149, 11, (2023).

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