Technical Papers
Jun 25, 2024

Simulation Evaluation of a Large-Scale Implementation of Virtual-Phase Link–Based Model Predictive Control

Publication: Journal of Transportation Engineering, Part A: Systems
Volume 150, Issue 9

Abstract

Traffic congestion is a serious problem in the US, and traffic signal control is one of the effective solutions to congestion. Previous research on model predictive control (MPC)-based traffic signal control showed substantial benefits over conventional methods. This study focused on implementing MPC over a large-scale network with complex intersections and the impact of cycle length, network size, and imperfect state estimation on performances. This study implemented a virtual phase link (VPL)-based model predictive control method which used the number of vehicles in each VPL as input state variables and was suitable for National Electrical Manufacturing Association (NEMA) ring-barrier control. To test the impact of network size, the performance of distributed MPC (36 intersections in the network are divided into five subnetworks) was compared with that of MPC over the full network for a set of cycle lengths. To test the impact of imperfect state estimation, we synthetically infused estimation error and developed two scenarios, MPC-error and MPC-error narrow, which had higher and lower estimation errors, respectively. The performance of these MPC methods was compared with that of the existing time-of-day (TOD) method and an offline method that used Webster’s method for split and MULTIBAND for cycle length and offset optimization. Trajectory and linkwise signal performance measures were collected from the simulation to evaluate performance. The distributed MPC method with perfect state estimation had the lowest delay and highest energy efficiency of all the methods. The performance of MPC decreased as the prediction inaccuracy increased. MPC-error had 7% and 11% more delay than MPC-error narrow in the morning and evening peaks, respectively. Overall, simulation results suggest that even with imperfect state estimation, MPC methods will outperform offline methods significantly.

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

This work was authored by the National Renewable Energy Laboratory, operated by Alliance for Sustainable Energy, LLC, for the US Department of Energy (DOE) under Contract no. DE-AC36-08GO28308. Funding was provided by US Department of Energy Office of Energy Efficiency and Renewable Energy Vehicle Technologies Office. A portion of the research was performed using computational resources sponsored by the US Department of Energy Office of Energy Efficiency and Renewable Energy, located at the National Renewable Energy Laboratory. The views expressed in the article do not necessarily represent the views of the DOE or the US Government. By accepting the paper for publication, the publisher acknowledges that the US Government retains a nonexclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this work, or allow others to do so, for US Government purposes. This work was made possible through the close cooperation of the Chattanooga Department of Transportation and Siemens Mobility. The research team acknowledges and appreciates guidance and technical support of Cindy Shell, Tommy Trotter, Airton Kohls, Casey Lewis, and Michael Gaertner.

References

Aboudolas, K., M. Papageorgiou, A. Kouvelas, and E. Kosmatopoulos. 2010. “A rolling-horizon quadratic-programming approach to the signal control problem in large-scale congested urban road networks.” Transp. Res. Part C Emerging Technol. 18 (5): 680–694. https://doi.org/10.1016/j.trc.2009.06.003.
Al Islam, S. M. A. B., and A. Hajbabaie. 2017. “Distributed coordinated signal timing optimization in connected transportation networks.” Transp. Res. Part C Emerging Technol. 80 (Jul): 272–285. https://doi.org/10.1016/j.trc.2017.04.017.
Arel, I., C. Liu, T. Urbanik, and A. G. Kohls. 2010. “Reinforcement learning-based multi-agent system for network traffic signal control.” IET Intell. Transp. Syst. 4 (2): 128–135. https://doi.org/10.1049/iet-its.2009.0070.
Balaji, P., X. German, and D. Srinivasan. 2010. “Urban traffic signal control using reinforcement learning agents.” IET Intell. Transp. Syst. 4 (3): 177–188. https://doi.org/10.1049/iet-its.2009.0096.
Brooker, A., J. Gonder, L. Wang, E. Wood, S. Lopp, and L. Ramroth. 2015. “FASTSim: A model to estimate vehicle efficiency, cost and performance. Warrendale, PA: SAE publication. https://doi.org/10.4271/2015-01-0973.
Bynum, M. L., G. A. Hackebeil, W. E. Hart, C. D. Laird, B. L. Nicholson, J. D. Siirola, J.-P. Watson, and D. L. Woodruff. 2021. Pyomo—Optimization modeling in Python. New York: Springer.
Cesme, B., and P. G. Furth. 2014. “Self-organizing traffic signals using secondary extension and dynamic coordination.” Transp. Res. Part C Emerging Technol. 48 (Nov): 1–15. https://doi.org/10.1016/j.trc.2014.08.006.
Chen, C., H. Modares, K. Xie, F. L. Lewis, Y. Wan, and S. Xie. 2019. “Reinforcement learning-based adaptive optimal exponential tracking control of linear systems with unknown dynamics.” IEEE Trans. Autom. Control 64 (11): 4423–4438. https://doi.org/10.1109/TAC.2019.2905215.
Crawford, J. A., T. B. Carlson, W. L. Eisele, and B. T. Kuhn. 2011. A Michigan toolbox for mitigating traffic congestion. College Station, TX: Michigan DOT.
Diakaki, C., V. Dinopoulou, K. Aboudolas, M. Papageorgiou, E. Ben-Shabat, E. Seider, and A. Leibov. 2003. “Extensions and new applications of the traffic-responsive urban control strategy: Coordinated signal control for urban networks.” Transp. Res. Rec. 1856 (1): 202–211. https://doi.org/10.3141/1856-22.
Diakaki, C., M. Papageorgiou, and T. McLean. 2000. “Integrated traffic-responsive urban corridor control strategy in Glasgow, Scotland: Application and evaluation.” Transp. Res. Rec. 1727 (1): 101–111. https://doi.org/10.3141/1727-13.
El-Tantawy, S., B. Abdulhai, and H. Abdelgawad. 2014. “Design of reinforcement learning parameters for seamless application of adaptive traffic signal control.” J. Intell. Transp. Syst. 18 (3): 227–245. https://doi.org/10.1080/15472450.2013.810991.
Feng, Y., K. L. Head, S. Khoshmagham, and M. Zamanipour. 2015. “A real-time adaptive signal control in a connected vehicle environment.” Transp. Res. Part C Emerging Technol. 55 (Jun): 460–473. https://doi.org/10.1016/j.trc.2015.01.007.
Gartner, N. H., S. F. Assman, F. Lasaga, and D. L. Hou. 1991. “A multi-band approach to arterial traffic signal optimization.” Transp. Res. Part B Methodol. 25 (1): 55–74. https://doi.org/10.1016/0191-2615(91)90013-9.
Gartner, N. H., F. J. Pooran, and C. M. Andrews. 2001. “Implementation of the OPAC adaptive control strategy in a traffic signal network.” In Proc., ITSC 2001. 2001 IEEE Intelligent Transportation Systems Cat No01TH8585, 195–200. New York: IEEE.
Gazis, D. C. 1964. “Optimum control of a system of oversaturated intersections.” Oper. Res. 12 (6): 815–831. https://doi.org/10.1287/opre.12.6.815.
Gershenson, C. 2004. “Self-organizing traffic lights.” Preprint, submitted November 30, 2004. http://arxiv.org/pdf/nlin/0411066.
Guler, S. I., M. Menendez, and L. Meier. 2014. “Using connected vehicle technology to improve the efficiency of intersections.” Transp. Res. Part C: Emerging Technol. 46 (Sep): 121–131. https://doi.org/10.1016/j.trc.2014.05.008.
Haddad, J., M. Ramezani, and N. Geroliminis. 2013. “Cooperative traffic control of a mixed network with two urban regions and a freeway.” Transp. Res. Part B Methodol. 54 (Aug): 17–36. https://doi.org/10.1016/j.trb.2013.03.007.
Hajbabaie, A. 2012. “Intelligent dynamic signal timing optimization program.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Univ. of Illinois at Urbana-Champaign.
Hao, Z., R. Boel, and Z. Li. 2018a. “Model based urban traffic control, part I: Local model and local model predictive controllers.” Transp. Res. Part C: Emerging Technol. 97 (Dec): 61–81. https://doi.org/10.1016/j.trc.2018.09.026.
Hao, Z., R. Boel, and Z. Li. 2018b. “Model based urban traffic control, part II: Coordinated model predictive controllers.” Transp. Res. Part C: Emerging Technol. 97 (Dec): 23–44. https://doi.org/10.1016/j.trc.2018.09.025.
Hart, W. E., J.-P. Watson, and D. L. Woodruff. 2011. “Pyomo: Modeling and solving mathematical programs in Python.” Math. Program. Comput. 3 (3): 219–260. https://doi.org/10.1007/s12532-011-0026-8.
He, Q., K. L. Head, and J. Ding. 2012. “PAMSCOD: Platoon-based arterial multi-modal signal control with online data.” Transp. Res. Part C: Emerging Technol. 20 (1): 164–184. https://doi.org/10.1016/j.trc.2011.05.007.
Henry, J.-J., J. L. Farges, and J. Tuffal. 1984. “The PRODYN real time traffic algorithm.” In Control in transportation systems, 305–310. Baden-Baden, Germany: Pergamon.
Hou, Y., S. E. Young, A. Dimri, and N. Cohn. 2018. Network scale ubiquitous volume estimation using tree-based ensemble learning methods. Golden, CO: National Renewable Energy Lab.
Hunt, P., D. Robertson, R. Bretherton, and R. Winton. 1981. SCOOT-A traffic responsive method of coordinating signals. Crowthorne, Berkshire: Transport and Road Research Laboratory.
Jin, J., and X. Ma. 2015. “Adaptive group-based signal control by reinforcement learning.” Transp. Res. Procedia 10 (Jan): 207–216. https://doi.org/10.1016/j.trpro.2015.09.070.
Khadka, S., P. T. Li, and Q. Wang. 2022. “Developing novel performance measures for traffic congestion management and operational planning based on connected vehicle data.” J. Urban Plan. Dev. 148 (2): 04022016. https://doi.org/10.1061/(ASCE)UP.1943-5444.0000835.
Khamis, M. A., and W. Gomaa. 2014. “Adaptive multi-objective reinforcement learning with hybrid exploration for traffic signal control based on cooperative multi-agent framework.” Eng. Appl. Artif. Intell. 29 (Mar): 134–151. https://doi.org/10.1016/j.engappai.2014.01.007.
Lee, S., S. Wong, and P. Varaiya. 2017. “Group-based hierarchical adaptive traffic-signal control part I: Formulation.” Transp. Res. Part B Methodol. 105 (Nov): 1–18. https://doi.org/10.1016/j.trb.2017.08.008.
Makhorin, A. 2008. “GLPK (GNU linear programming kit).” Accessed May 29, 2024. https://www.gnu.org/software/glpk/glpk.html.
Mehrabipour, M., and A. Hajbabaie. 2017. “A cell-based distributed-coordinated approach for network-level signal timing optimization.” Comput.-Aided Civ. Infrastruct. Eng. 32 (7): 599–616. https://doi.org/10.1111/mice.12272.
Pirnay, H., R. López-Negrete, and L. T. Biegler. 2011. sIPOPT reference manual. Pittsburgh: Carnegie Mellon Univ.
Pishue, B. 2023. 2022 INRIX global traffic scorecard. Kirkland, WA: INRIX.
Portilla, C., F. Valencia, J. Espinosa, A. Núñez, and B. De Schutter. 2016. “Model-based predictive control for bicycling in urban intersections.” Transp. Res. Part C Emerging Technol. 70 (Sep): 27–41. https://doi.org/10.1016/j.trc.2015.11.016.
Rafter, C. B., B. Anvari, S. Box, and T. Cherrett. 2020. “Augmenting traffic signal control systems for urban road networks with connected vehicles.” IEEE Trans. Intell. Transp. Syst. 21 (4): 1728–1740. https://doi.org/10.1109/TITS.2020.2971540.
Sanyal, J. 2020. Real-time data and simulation for optimizing regional mobility in the United States. Washington, DC: DOE, Vehicle Technologies Office Annual Merit Review.
Sen, S., and K. L. Head. 1997. “Controlled optimization of phases at an intersection.” Transp. Sci. 31 (1): 5–17. https://doi.org/10.1287/trsc.31.1.5.
Severino, J., Y. Hou, A. Nag, J. Holden, L. Zhu, J. Ugirurmurera, S. Young, W. Jones, and J. Sanyal. 2022. “Real-Time highly resolved spatial-temporal vehicle energy consumption estimation using machine learning and probe data.” Transp. Res. Rec. 2676 (2): 213–226. https://doi.org/10.1177/03611981211039163.
Shams, A., and C. M. Day. 2023. “Advanced gap seeking logic for actuated signal control using vehicle trajectory data: Proof of concept.” Transp. Res. Rec. 2677 (2): 610–623. https://doi.org/10.1177/03611981221108147.
Shams, A., and M. Zlatkovic. 2020. “Effects of capacity and transit improvements on traffic and transit operations.” Transp. Plann. Technol. 43 (6): 602–619. https://doi.org/10.1080/03081060.2020.1780710.
Shelby, S. G., D. M. Bullock, D. Gettman, R. S. Ghaman, Z. A. Sabra, and N. Soyke. 2008. “An overview and performance evaluation of ACS Lite–A low cost adaptive signal control system.” In Vol. 190 of Transportation Research Board Annual Meeting, 130–137. Washington, DC: Transportation Research Board.
Sims, A. G., and K. W. Dobinson. 1980. “The Sydney coordinated adaptive traffic (SCAT) system philosophy and benefits.” IEEE Trans. Veh. Technol. 29 (2): 130–137. https://doi.org/10.1109/T-VT.1980.23833.
Smith, S., G. Barlow, X.-F. Xie, and Z. Rubinstein. 2013. “Smart urban signal networks: Initial application of the Surtrac adaptive traffic signal control system.” In Vol. 23 of Proc., Int. Conf. on Automated Planning and Scheduling, 434–442. Burnaby, BC, Canada: PKP Publishing Services.
Tettamanti, T., and I. Varga. 2010. “Distributed traffic control system based on model predictive control.” Periodica Polytechnica Civ. Eng. 54 (1): 3–9. https://doi.org/10.3311/pp.ci.2010-1.01.
Van Katwijk, R. T. 2008. Multi-agent look-ahead traffic-adaptive control.
Wang, Q., and M. Abbas. 2019. “Optimal urban traffic model predictive control for NEMA standards.” Transp. Res. Rec. 2673 (7): 413–424. https://doi.org/10.1177/0361198119841851.
Wang, Q., W. Jones, and T. Li. 2021a. NEMA-phase-compliant traffic signal controller module in SUMO. Golden, CO: National Renewable Energy Lab.
Wang, Q., J. Severino, H. Sorensen, J. Sanyal, J. Ugirumurera, C. Wang, A. Berres, W. Jones, A. Kohls, and R. P. R. VenkataDurga. 2022. “Deploying a model predictive traffic signal control algorithm: A field deployment experiment case study.” In Proc., IEEE 25th Int. Conf. Intelligent Transportation Systems ITSC, 3564–3570. New York: IEEE.
Wang, Q., J. Severino, J. Ugirumurera, W. Jones, and J. Sanyal. 2021b. “Offline arterial signal timing optimization for closely spaced intersections.” In Proc., 2021 IEEE Green Technol. Conf. GreenTech, 344–350. New York: IEEE.
Zhou, Z., B. De Schutter, S. Lin, and Y. Xi. 2016. “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.

Information & Authors

Information

Published In

Go to Journal of Transportation Engineering, Part A: Systems
Journal of Transportation Engineering, Part A: Systems
Volume 150Issue 9September 2024

History

Received: May 8, 2023
Accepted: Jan 30, 2024
Published online: Jun 25, 2024
Published in print: Sep 1, 2024
Discussion open until: Nov 25, 2024

Permissions

Request permissions for this article.

ASCE Technical Topics:

Authors

Affiliations

Transportation System Research Assistant, National Renewable Energy Lab (NREL), 15033 Denver West Parkway, Golden, CO 80401. ORCID: https://orcid.org/0000-0002-8122-2283. Email: [email protected]
Computational Transportation Scientist, National Renewable Energy Lab (NREL), 15033 Denver West Parkway, Golden, CO 80401 (corresponding author). ORCID: https://orcid.org/0000-0002-0863-4564. Email: [email protected]
Juliette Ugirumurera [email protected]
Researcher IV-Computational Science, National Renewable Energy Lab (NREL), 15033 Denver West Parkway, Golden, CO 80401. Email: [email protected]
Joseph Severino [email protected]
Researcher II-Computational Science, National Renewable Energy Lab (NREL), 15033 Denver West Parkway, Golden, CO 80401. Email: [email protected]
Wesley Jones [email protected]
Group Manager and Principal Scientist, National Renewable Energy Lab (NREL), 15033 Denver West Parkway, Golden, CO 80401. Email: [email protected]
Jibonananda Sanyal [email protected]
Group Manager III-Systems Engineering, National Renewable Energy Lab (NREL), 15033 Denver West Parkway, Golden, CO 80401. 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.

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