Technical Papers
Sep 6, 2019

Intersection Dilemma-Zone Protection as a Dynamic Signal-Optimization Problem with Model Predictive Control

Publication: Journal of Transportation Engineering, Part A: Systems
Volume 145, Issue 11

Abstract

This paper develops a signal-optimization model for dynamic intersection control and dilemma-zone protection, where the decisions of signal phase switching are optimized to minimize the system transition cost weighted by the number of vehicles trapped in the dilemma zone and the delay incurred by queued vehicles at the intersection. The proposed model is solved with a model predictive control framework, and traffic dynamics are formulated with a cell transmission model, which offers the advantage of taking real-time traffic dynamics as the control input. Case study results from comparing the proposed model with actuated and fixed-time signal control strategies demonstrate the validity and advantages of the proposed methodology.

Get full access to this article

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

Acknowledgments

The support from the National Natural Science Foundation of China (Grant Nos. 71431003 and 71601110) is gratefully acknowledged, and the fourth author’s contribution to this research was also partially supported by Lloyd’s Register Foundation, which helps to protect life and property by supporting engineering-related education, public engagement, and the application of research. Any opinions, findings, and conclusions or recommendations expressed in this paper are those of the authors and do not necessarily reflect the views of the aforementioned funding bodies.

References

Bonneson, J., D. Middleton, K. Zimmerman, H. Charara, and M. Abbas. 2002. Intelligent detection-control system for rural signalized intersections. College Station, TX: Texas Transportation Institute, Texas A&M Univ.
Bonneson, J. A., and P. T. McCoy. 1996. “Traffic detector designs for isolated intersections.” ITE J. 66 (8): 42–47.
Camacho, E., and C. Bordons. 1995. Model predictive control in the process industry. Berlin: Springer.
Chang, E. 1998. Implementing a cell-based signal control model in Hong Kong. Hong Kong: Hong Kong Univ. of Science and Technology.
Chang, G.-L., M. L. Franz, Y. Liu, Y. Lu, and R. Tao. 2013. “Design and evaluation of an intelligent dilemma-zone protection system for a high-speed rural intersection.” Transp. Res. Rec. 2356 (1): 1–8. https://doi.org/10.1177/0361198113235600101.
Daganzo, C. F. 1994. “The cell transmission model: A dynamic representation of highway traffic consistent with the hydrodynamic theory.” Transp. Res. Part B: Methodol. 28 (4): 269–287. https://doi.org/10.1016/0191-2615(94)90002-7.
Daganzo, C. F. 1995. “The cell transmission model. Part II: Network traffic.” Transp. Res. Part B: Methodol. 29 (2): 79–93. https://doi.org/10.1016/0191-2615(94)00022-R.
De Schutter, B., T. van den Boom, and A. Hegyi. 2002. “Model predictive control approach for recovery from delays in railway systems.” Transp. Res. Rec. 1793 (1): 15–20. https://doi.org/10.3141/1793-03.
Feng, Y., K. L. Head, and W. Ma. 2014. “Estimating vehicles in the dilemma zone and application to fixed-time coordinated signal optimization.” Transp. Res. Rec. 2439 (1): 62–70. https://doi.org/10.3141/2439-06.
Feng, Y., M. Zamanipour, K. L. Head, and S. Khoshmagham. 2016. “Connected vehicle-based adaptive signal control and applications.” Transp. Res. Rec. 2558 (1): 11–19. https://doi.org/10.3141/2558-02.
Garcia, C., D. Prett, and M. Morari. 1989. “Model predictive control: Theory and practice—A survey.” Automatica 25 (3): 335–348. https://doi.org/10.1016/0005-1098(89)90002-2.
Gazis, D., R. Herman, and A. Maradudin. 1960. “The problem of the amber signal light in traffic flow.” Oper. Res. 8 (1): 112–132. https://doi.org/10.1287/opre.8.1.112.
Hegyi, A., B. De Schutter, and H. Hellendoorn. 2005. “Model predictive control for optimal coordination of ramp metering and variable speed limits.” Transp. Res. Part C: Emerging Technol. 13 (3): 185–209. https://doi.org/10.1016/j.trc.2004.08.001.
Kronborg, P., F. Davidsson, and J. Edholm. 1997. SOS—Self optimising signal control: Development and field trials of the SOS algorithm for self-optimising signal control at isolated intersections. Stockholm, Sweden: Transport Research Institute.
Lee, S., and S. C. Wong. 2017. “Group-based approach to predictive delay model based on incremental queue accumulations for adaptive traffic control systems.” Transp. Res. Part B: Methodol. 98 (4): 1–20. https://doi.org/10.1016/j.trb.2016.12.008.
Liu, S., H. Hellendoorn, and B. De Schutter. 2017. “Model predictive control for freeway networks based on multi-class traffic flow and emission models.” IEEE Trans. Control Syst. Technol. 18 (2): 306–320. https://doi.org/10.1109/TITS.2016.2573306.
Liu, Y., G.-L. Chang, R. Tao, T. Hicks, and E. Tabacek. 2007. “Empirical observations of dynamic dilemma zones at signalized intersections.” Transp. Res. Rec. 2035 (1): 122–133. https://doi.org/10.3141/2035-14.
Liu, Y., G.-L. Chang, and J. Yu. 2012. “Empirical study of driver responses during the yellow signal phase at six Maryland intersections.” J. Transp. Eng. 138 (1): 31–42. https://doi.org/10.1061/(ASCE)TE.1943-5436.0000278.
Lo, H., E. Chang, and Y. Chan. 2001. “Dynamic network traffic control.” Transp. Res. Part A: Policy and Pract. 35 (8): 721–744. https://doi.org/10.1016/S0965-8564(00)00014-8.
Lo, H. K., and A. H. F. Chow. 2004. “Control strategies for oversaturated traffic.” J. Transp. Eng. 130 (4): 466–478. https://doi.org/10.1061/(ASCE)0733-947X(2004)130:4(466).
Long, K., Y. Liu, and D. L. Han. 2013. “Impact of countdown timer on driving maneuvers after the yellow onset at signalized intersections: An empirical study in Changsha, China.” Saf. Sci. 54 (4): 8–16. https://doi.org/10.1016/j.ssci.2012.10.007.
Machiania, S. G., and M. Abbasb. 2016. “Safety surrogate histograms (SSH): A novel real-time safety assessment of dilemma zone related conflicts at signalized intersections.” Accid. Anal. Prev. 96 (11): 361–370. https://doi.org/10.1016/j.aap.2015.04.024.
Maciejowski, J. 2002. Predictive control with constraints. Harlow, UK: Prentice Hall.
Mienkovic, M. S., N. J. Bojovic, L. Svadlenka, and V. Melichar. 2015. “A stochastic model predictive control to heterogeneous rail freight car fleet sizing problem.” Transp. Res. Part E: Logist. Transp. Rev. 82 (10): 162–198. https://doi.org/10.1016/j.tre.2015.07.009.
Perea-Lopez, E., B. E. Ydstie, and I. E. Grossmann. 2003. “A model predictive control strategy for supply chain optimization.” Comput. Chem. Eng. 27 (8–9): 1201–1218. https://doi.org/10.1016/S0098-1354(03)00047-4.
Peterson, A., T. Bergh, and K. Steen. 1986. “LHOVRA: A new traffic signal control strategy for isolated junctions.” Traffic Eng. Control 27 (7/8): 388–389.
Retting, R. A., J. F. Chapline, and A. F. Williams. 2002. “Changes in crash risk following re-timing of traffic signal change intervals.” Accid. Anal. Prev. 34 (2): 215–220. https://doi.org/10.1016/S0001-4575(01)00016-1.
Schildbach, G., and M. Morari. 2016. “Scenario-based model predictive control for multi-echelon supply chain management.” Eur. J. Oper. Res. 252 (2): 540–549. https://doi.org/10.1016/j.ejor.2016.01.051.
Sharma, A., D. Bullock, and S. Peeta. 2011. “Estimating dilemma zone hazard function at high speed isolated intersection.” Transp. Res. Part C: Emerging Technol. 19 (3): 400–412. https://doi.org/10.1016/j.trc.2010.05.002.
Tarko, A., W. Li, and L. Laracuente. 2006. “Probabilistic approach to controlling dilemma occurrence at signalized intersections.” Transp. Res. Rec. 1973 (1): 55–63. https://doi.org/10.1177/0361198106197300107.
Van der Horst, R., and A. Wilmink. 1986. “Drivers’ decision-making at signalized intersections: An optimization of the yellow timing.” Traffic Eng. Control 27 (12): 615–622.
Wu, Y., M. Abdel-Atya, Y. Ding, B. Jia, Q. Shi, and X. Yan. 2018. “Comparison of proposed countermeasures for dilemma zone at signalized intersections based on cellular automata simulations.” Accid. Anal. Prev. 116 (7): 69–78. https://doi.org/10.1016/j.aap.2017.09.009.
Zegeer, C. V., and R. C. Dean. 1978. Green-extension systems at high-speed intersections. Lexington, KY: Kentucky Transportation Center.
Zheng, Y., S. E. Li, K. Li, F. Borrelli, and J. K. Hedrick. 2017. “Distributed model predictive control for heterogeneous vehicle platoons under unidirectional topologies.” IEEE Trans. Control Syst. Technol. 25 (3): 899–910. https://doi.org/10.1109/TCST.2016.2594588.
Zhou, Y. H., X. Yang, and C. Mi. 2013. “Dynamic route guidance based on model predictive control.” Comput. Model. Eng. Sci. 92 (5): 477–491.
Zhou, Z., B. De Schutter, S. Lin, and Y. G. Xi. 2017. “Two-level hierarchical model-based predictive control for large-scale urban traffic networks.” IEEE Trans. Control Syst. Technol. 25 (2): 496–508. https://doi.org/10.1109/TCST.2016.2572169.
Zimmerman, K., and J. A. Bonneson. 2004. “Intersection safety at high-speed signalized intersections: Number of vehicles in dilemma zone as a potential measure.” Transp. Res. Rec. 1897 (1): 126–133. https://doi.org/10.3141/1897-16.

Information & Authors

Information

Published In

Go to Journal of Transportation Engineering, Part A: Systems
Journal of Transportation Engineering, Part A: Systems
Volume 145Issue 11November 2019

History

Received: Apr 14, 2018
Accepted: Jan 29, 2019
Published online: Sep 6, 2019
Published in print: Nov 1, 2019
Discussion open until: Feb 6, 2020

Permissions

Request permissions for this article.

Authors

Affiliations

Yunfeng Gao [email protected]
Associate Professor, College of Transport and Communications, Shanghai Maritime Univ., 1550 Haigang Ave., Shanghai 201306, China. Email: [email protected]
Yue Liu, M.ASCE [email protected]
Professor, Dept. of Civil Engineering and Environment, Univ. of Wisconsin–Milwaukee, P.O. Box 784, Milwaukee, WI 53201 (corresponding author). Email: [email protected]; [email protected]
Associate Professor, College of Urban Railway Transportation, Shanghai Univ. of Engineering Science, Longteng Rd., Shanghai 201620, China. Email: [email protected]
Professor, College of Transport and Communications, Shanghai Maritime Univ., 1550 Haigang Ave., Shanghai 201306, 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

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