Technical Papers
Aug 12, 2022

Saturation Flow Rate at the Work Zone–Straddled Intersections with Interweaving Movements: Lane-Based Modeling Study

Publication: Journal of Transportation Engineering, Part A: Systems
Volume 148, Issue 10

Abstract

This study explored how the presence of work zones could influence the saturation flow rate (SFR) prevailing at an intersection. Specifically, it researched construction-ridden intersections with interweaving movements (CIWIMs) of vehicle flows that proceed across the stop line and down the connective lanes on the downstream approach to the adjacent intersection. First, image recognition and tracking algorithms were used to extract 2,545 vehicle trajectories from the video captured on-site. Then, the trajectories were manipulated based on lanes to obtain the saturated headway time of the entry-lane stop line during effective green time and the variables related to lane-change behaviors after passing the stop line (e.g., lane-change percentage, lane-change position, lorry percentage, and average passing speed). In addition, certain linear and nonlinear regression methods were employed to estimate lane-focused SFR models in a parsimonious fashion. Subsequently, the Highway Capacity Manual (HCM) model, along with Schroeder’s model, was pairwise compared with the newly proposed Box-Cox model for validation. The results indicate that the mean errors are 28.86% and 17.70% for the HCM and Schroeder’s models, respectively, while the estimation error for the Box-Cox model is merely 7.20%. This sensitivity analysis reveals that the proportion of bidirectional lane changes, spatial use rate of lane changes, and proportion of heavier vehicles significantly compromises the CIWIM-based SFR. One important finding is that the models accounting for microscopic channel-change behaviors, with higher estimation accuracy compared with existing models, can also be used for traffic simulation parameter calibration and road delay estimation to obtain higher validity and precision.

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 code that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

The authors sincerely thank the editor and the anonymous reviewers for their helpful comments and valuable suggestions, which considerably improved the presentation of this work. This research was sponsored by the National Key Research and Development Program of China (2019YFB16002), the National Natural Science Foundation of China (52002278), and the Shuguang Program supported by the Shanghai Education Development Foundation and the Shanghai Municipal Education Commission (18SG21).

References

Abrevaya, J. 2002. “Computing marginal effects in the Box-Cox model.” Econometric Res. 21 (3): 383–393. https://doi.org/10.1081/ETC-120015789.
Akaike, H. 1998. “Information theory and an extension of the maximum likelihood principle.” In Selected papers of Hirotugu Akaike, 199–213. New York: Springer.
Al-Kaisy, A., and F. Hall. 2003. “Guidelines for estimating capacity at freeway reconstruction zones.” J. Transp. Eng. 129 (5): 572–577. https://doi.org/10.1061/(ASCE)0733-947X(2003)129:5(572).
Alshabibi, N. M., and E. Prassas. 2018. “Impact assessment of short-term work zones on intersection capacity in New York City.” Transp. Res. Rec. 2672 (15): 1–8. https://doi.org/10.1177/0361198118774703.
Bonneson, J., and K. Nguyen. 2012. HCM urban streets methodology enhancements—Saturation flow rate adjustment factor for work zone presence. Washington, DC: Transportation Research Board of the National Academies.
Brackstone, M., and M. McDonald. 2003. “Driver behaviour and traffic modelling: Are we looking at the right issues?” In Proc., IEEE Intelligent Vehicles Symp., 517–521. New York: IEEE. https://doi.org/10.1177/0361198118774703.
Cambridge, S. 2005. Traffic congestion and reliability: Trends and advanced strategies for congestion mitigation. Washington, DC: Federal Highway Administration.
Chai, T., and R. R. Draxler. 2014. “Root mean square error (RMSE) or mean absolute error (MAE)? Arguments against avoiding RMSE in the literature.” Geosci. Model Dev. 7 (3): 1247–1250. https://doi.org/10.5194/gmd-7-1247-2014.
Elefteriadou, L., M. Jain, and K. Heaslip. 2008. Impact of lane closures on roadway capacity: Part B: Arterial work zone capacity. Gainesville, FL: Transportation Research Center.
FHWA (Federal Highway Administration). 2009. Manual on uniform traffic control devices (MUTCD). Washington, DC: FHWA.
Fox, J. 1997. Applied regression analysis, linear models, and related methods. Thousand Oaks, CA: SAGE.
Gan, X., J. Weng, W. Li, and M. Han. 2022. “Spatial-temporal varying coefficient model for lane-changing behavior in work zone merging areas.” J. Transp. Saf. Secur. 14 (6): 949–972. https://doi.org/10.1080/19439962.2020.1864075.
Gao, X., J. Zhao, and M. Wang. 2020. “Modelling the saturation flow rate for continuous flow intersections based on field collected data.” PLoS One 15 (8): 1–18. https://doi.org/10.1371/journal.pone.0236922.
Hajbabaie, A., S. K. Kim, B. J. Schroeder, S. Aghdashi, N. M. Rouphail, and K. Tabrizi. 2017. “Estimation of saturation headway in work zones on urban streets.” Transp. Res. Rec. 2615 (1): 26–34. https://doi.org/10.3141/2615-04.
HCM (Highway Capacity Manual). 2016. Transportation research board. Washington, DC: National Academics of Sciences, Engineering, and Medicine.
Heaslip, K., A. Kondyli, D. Arguea, L. Elefteriadou, and F. Sullivan. 2009. “Estimation of freeway work zone capacity through simulation and field data.” Transp. Res. Rec. 2130 (1): 16–24. https://doi.org/10.3141/2130-03.
Hou, G., and S. Chen. 2020. “Study of work zone traffic safety under adverse driving conditions with a microscopic traffic simulation approach.” Accid. Anal. Prev. 145 (Sep): 105698. https://doi.org/10.1016/j.aap.2020.105698.
Jia, H., Y. Tan, and L. Yang. 2011. “Modeling vehicle merging behavior in urban expressway merging sections based on logistic model.” In Proc., 2011 Int. Conf. on Transportation, Mechanical, and Electrical Engineering (TMEE), 656–659. New York: IEEE.
Jianjun, W., and M. Chaoquan. 2019. Traffic survey and analysis. 3rd ed. Beijing: China Communications Press.
Joseph, C. T., E. Radwan, and N. M. Rouphail. 1988. “Work zone analysis model for the signalized arterial.” Transp. Res. Rec. 1194 (1): 112–119.
Ke, R., S. Feng, Z. Cui, and Y. Wang. 2020. “Advanced framework for microscopic and lane-level macroscopic traffic parameters estimation from UAV video.” IET Intel. Transport Syst. 14 (7): 724–734. https://doi.org/10.1049/iet-its.2019.0463.
Konishi, S., and G. Kitagawa. 2008. “Bayesian information criteria.” In Information criteria and statistical modeling, 211–237. New York: Springer.
Meng, Q., and J. Weng. 2010. “Cellular automata model for work zone traffic.” Transp. Res. Rec. 2188 (1): 131–139. https://doi.org/10.3141/2188-14.
Meng, Q., and J. Weng. 2011a. “Evaluation of rear-end crash risk at work zone using work zone traffic data.” Accid. Anal. Prev. 43 (4): 1291–1300. https://doi.org/10.1016/j.aap.2011.01.011.
Meng, Q., and J. Weng. 2011b. “An improved cellular automata model for heterogeneous work zone traffic.” Transp. Res. Part C Emerging Technol. 19 (6): 1263–1275. https://doi.org/10.1016/j.trc.2011.02.011.
Meng, Q., and J. Weng. 2013. “Uncertainty analysis of accident notification time and emergency medical service response time in work zone traffic accidents.” Traffic Inj. Prev. 14 (2): 150–158. https://doi.org/10.1080/15389588.2012.708886.
Meng, Q., J. Weng, and X. Qu. 2010. “A probabilistic quantitative risk assessment model for long-term work zone crashes.” Accid. Anal. Prev. 42 (6): 1866–1877. https://doi.org/10.1016/j.aap.2010.05.007.
Mondal, S., and A. Gupta. 2020a. “Queue-based headway distribution models at signal controlled intersection under mixed traffic.” Transp. Res. Rec. 2674 (11): 768–778. https://doi.org/10.1177/0361198120949876.
Mondal, S., and A. Gupta. 2020b. “A review of methodological approaches for saturation flow estimation at signalized intersections.” Can. J. Civ. Eng. 47 (3): 237–247. https://doi.org/10.1139/cjce-2018-0696.
National Work Zone Safety Information Clearinghouse. 2020. Work zone traffic crash trends and statistics. College Station, TX: Texas A&M Transportation Institute.
Qiu, X. P., R. X. Sun, L. N. Ma, and D. Yang. 2016. “Modeling and analyzing of traffic flow in the work zone of urban signalized intersection based on social force.” J. Transp. Syst. Eng. Inf. Technol. 16 (1): 99–104. https://doi.org/10.1139/cjce-2018-0696.
Raju, N., S. Arkatkar, and G. Joshi. 2020. “Effect of construction work zone on traffic stream parameters using vehicular trajectory data under mixed traffic conditions.” J. Transp. Eng. Part A Syst. 146 (6): 05020002. https://doi.org/10.1061/JTEPBS.0000353.
Raju, N., S. Arkatkar, G. Joshi, and N. Raju. 2021. “Modeling following behavior of vehicles using trajectory data under mixed traffic conditions: An Indian viewpoint.” Transp. Lett. 13 (9): 649–663. https://doi.org/10.1080/19427867.2020.1751440.
Roess, R. P., E. S. Prassas, and W. R. McShane. 2004. Traffic engineering. New York: Pearson/Prentice Hall.
Sadegh, A., A. E. Radwan, and N. M. Rouphail. 1988. “ARTWORK: A simulation model of urban arterial work zones.” Transp. Res. Rec. 1163 (1): 1–3.
Sakia, R. M. 1992. “The Box-Cox transformation technique: A review.” J. R. Stat. Soc. D 41 (2): 169–178. https://doi.org/10.2307/2348250.
Sarasua, W. A., W. J. Davis, M. A. Chowdhury, and J. H. Ogle. 2006. “Estimating interstate highway capacity for short-term work zone lane closures: Development of methodology.” Transp. Res. Rec. 1948 (1): 45–57. https://doi.org/10.1177/0361198106194800106.
Schroeder, B. J., N. M. Rouphail, B. M. Williams, A. Hajbabaie, B. Aghdashi, S. Kim, K. Tabrizi, and B. Narron. 2015. Delay and user cost estimation for work zones on urban arterials: Final project report. Raleigh, NC: Institute for Transportation Research and Education.
Shaaban, K., and D. Elnashar. 2013. “Evaluation of work zone strategies at signalized intersections.” J. Traffic Logist. Eng. 1 (2): 202–206. https://doi.org/10.12720/jtle.1.2.202-206.
Shao, C.-Q., and X.-M. Liu. 2012. “Estimation of saturation flow rates at signalized intersections.” Discrete Dyn. Nature Soc. 2012 (720474): 1–10. https://doi.org/10.1155/2012/720474.
Shao, Y., Z. Luo, H. Wu, X. Han, B. Pan, S. Liu, and C. Claudel. 2020. “Evaluation of two improved schemes at non-aligned intersections affected by a work zone with an entropy method.” Sustainability 12 (14): 5494. https://doi.org/10.3390/su12145494.
Sun, J., J.-Q. Hu, and J. Sun. 2016. “Capacity estimation model on weaving segments of urban expressways.” Chin. J. Highway Transp. 29 (4): 114–122.
TRB (Transportation Research Board). 2016. Highway capacity manual: A guide for multimodal mobility analysis. 6th ed. Washington, DC: Transportation Research Board.
Wang, Y., J. Rong, C. Zhou, X. Chang, and S. Liu. 2020. “An analysis of the interactions between adjustment factors of saturation flow rates at signalized intersections.” Sustainability 12 (2): 665. https://doi.org/10.3390/su12020665.
Washington, S. P., M. G. Karlaftis, and F. Mannering. 2003. Statistical and econometric methods for transportation data analysis. Boca Raton, FL: Chapman and Hall/CRC.
Weng, J. 2011. “Traffic delay estimation, operational strategy analysis and risk assessment for work zones.” Ph.D. thesis, National Univ. of Singapore. https://scholarbank.nus.edu.sg/handle/10635/25881.
Weng, J., G. Du, D. Li, and Y. Yu. 2018. “Time-varying mixed logit model for vehicle merging behavior in work zone merging areas.” Accid. Anal. Prev. 117 (3): 328–339. https://doi.org/10.1016/j.aap.2018.05.005.
Weng, J., X. Gan, and G. Du. 2019. “Random coefficient models for work zone headway distribution.” J. Transp. Eng. Part A Syst. 145 (10): 04019042. https://doi.org/10.1061/JTEPBS.0000268.
Weng, J., G. Li, and Y. Yu. 2017. “Time-dependent drivers’ merging behavior model in work zone merging areas.” Transp. Res. Part C Emerging Technol. 80 (Jul): 409–422. https://doi.org/10.1016/j.trc.2017.05.007.
Weng, J., and Q. Meng. 2011. “Analysis of driver casualty risk for different work zone types.” Accid. Anal. Prev. 43 (5): 1811–1817. https://doi.org/10.1016/j.aap.2011.04.016.
Weng, J., and Q. Meng. 2012a. “Effects of environment, vehicle and driver characteristics on risky driving behavior at work zones.” Saf. Sci. 50 (4): 1034–1042. https://doi.org/10.1016/j.ssci.2011.12.005.
Weng, J., and Q. Meng. 2012b. “Ensemble tree approach to estimating work zone capacity.” Transp. Res. Rec. 2286 (1): 56–67. https://doi.org/10.3141/2286-07.
Weng, J., and Q. Meng. 2013a. “Estimating capacity and traffic delay in work zones: An overview.” Transp. Res. Part C Emerging Technol. 35 (Oct): 34–45. https://doi.org/10.1016/j.trc.2013.06.005.
Weng, J., and Q. Meng. 2013b. “Impact analysis of work zone configuration, traffic flow and heavy vehicle percentage on traffic delay at work zones.” Asian Transp. Stud. 2 (3): 239–252. https://doi.org/10.1016/j.ssci.2011.12.005.
Weng, J., Q. Meng, and T. F. Fwa. 2014a. “Vehicle headway distribution in work zones.” Transportmetrica A: Transp. Sci. 10 (4): 285–303. https://doi.org/10.1080/23249935.2012.762564.
Weng, J., Q. Meng, and X. Yan. 2014b. “Analysis of work zone rear-end crash risk for different vehicle-following patterns.” Accid. Anal. Prev. 72 (Nov): 449–457. https://doi.org/10.1016/j.aap.2014.08.003.
Weng, J., S. Xue, and X. Yan. 2016a. “Modeling vehicle merging behavior in work zone merging areas during the merging implementation period.” IEEE Trans. Intell. Transp. Syst. 17 (4): 917–925. https://doi.org/10.1109/TITS.2015.2477335.
Weng, J., J. Z. Zhu, X. Yan, and Z. Liu. 2016b. “Investigation of work zone crash casualty patterns using association rules.” Accid. Anal. Prev. 92 (Jul): 43–52. https://doi.org/10.1016/j.aap.2016.03.017.
Yang, D., X. Zhou, G. Su, and S. Liu. 2019. “Model and simulation of the heterogeneous traffic flow of the urban signalized intersection with an island work zone.” IEEE Trans. Intell. Transp. Syst. 20 (5): 1719–1727. https://doi.org/10.1109/TITS.2018.2834910.
Yang, D., L. Zhu, L. Ma, and R. Sun. 2016. “Model for the capacity of the urban signal intersection with work zone.” J. Adv. Transp. 50 (7): 1506–1519. https://doi.org/10.1002/atr.1413.
Yuan, Y., B. Goñi-Ros, M. Poppe, W. Daamen, and S. P. Hoogendoorn. 2019. “Analysis of bicycle headway distribution, saturation flow and capacity at a signalized intersection using empirical trajectory data.” Transp. Res. Rec. 2673 (6): 10–21. https://doi.org/10.1177/0361198119839976.
Zhang, G., and Y. Wang. 2014. “A Gaussian kernel-based approach for modeling vehicle headway distributions.” Transp. Sci. 48 (2): 206–216. https://doi.org/10.1287/trsc.1120.0451.
Zhu, L., B. Jia, D. Yang, Y. Wu, G. Yang, J. Gu, H. Qiu, and Q. Guo. 2020. “Modeling the traffic flow of the urban signalized intersection with a straddling work zone.” J. Adv. Transp. 2020 (1496756): 12. https://doi.org/10.1155/2020/1496756.

Information & Authors

Information

Published In

Go to Journal of Transportation Engineering, Part A: Systems
Journal of Transportation Engineering, Part A: Systems
Volume 148Issue 10October 2022

History

Received: Dec 7, 2021
Accepted: May 6, 2022
Published online: Aug 12, 2022
Published in print: Oct 1, 2022
Discussion open until: Jan 12, 2023

Permissions

Request permissions for this article.

Authors

Affiliations

Ph.D. Candidate, Key Laboratory of Road and Traffic Engineering of Ministry of Education, Tongji Univ., Shanghai 201804, China. ORCID: https://orcid.org/0000-0003-3588-761X. Email: [email protected]
Ph.D. Candidate, Key Laboratory of Road and Traffic Engineering of Ministry of Education, Tongji Univ., Shanghai 201804, China. ORCID: https://orcid.org/0000-0002-7495-6748. Email: [email protected]
Xiaozhao Lu [email protected]
Professor, School of Transportation and Logistics, Southwest Jiaotong Univ., Chengdu 610031, China. Email: [email protected]
Postdoctorate, Postdoctoral Station of Mechanical Engineering & Clean Energy Automotive Engineering Center, School of Automotive Studies, Tongji Univ., Shanghai 201804, China (corresponding author). Email: [email protected]
Professor, Smart Transportation Application and Research Lab, Dept. of Civil and Environmental Engineering, Univ. of Washington, Seattle, WA 98195. ORCID: https://orcid.org/0000-0002-4180-5628. Email: [email protected]
Professor, Key Laboratory of Road and Traffic Engineering of Ministry of Education, Tongji Univ., Shanghai 201804, 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

  • Quantitative Analysis of Vehicular Traffic Flow Order at Signalized Intersections, Journal of Transportation Engineering, Part A: Systems, 10.1061/JTEPBS.TEENG-8120, 150, 2, (2024).

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