A Lagrangian approach for variable speed limit implementation in C-ITS framework

References

• Barth, M., and K. Boriboonsomsin. 2008. “Real-World Carbon Dioxide Impacts of Traffic Congestion.” Transportation Research Record 2058 (1): 163–171. https://doi.org/10.3141/2058-20.
   Web of Science ®Google Scholar
• Batchelor, G. 1973. An Introduction to Fluid Dynamics, Paperback ed.. 615. Cambridge, UK.Cambridge Univ. Press
   Google Scholar
• Bertini, R. L., S. Boice, and K. Bogenberger. 2006. “Dynamics of Variable Speed Limit System Surrounding Bottleneck on German Autobahn.” Transportation Research Record 1978 (1): 149–159. https://doi.org/10.1177/0361198106197800119.
   Google Scholar
• Chiabaut, N., and L. Leclercq. 2011. “Wave Velocity Estimation Through Automatic Analysis of Cumulative Vehicle Count Curves.” Transportation Research Record 2249 (1): 1–6. https://doi.org/10.3141/2249-01.
   Google Scholar
• Čičić, M. 2021. “Modelling and Lagrangian Control of Mixed Traffic: Platoon Coordination, Congestion Dissipation and State Reconstruction.” Unpublished doctoral dissertation. KTH Royal Institute of Technology.
   Google Scholar
• Clairais, A., A. Duret, and N. E. El Faouzi. 2016. “Calibration of the Fundamental Diagram Based on Loop and Probe Data.” Transportation Research Record 2560 (1): 17–25. https://doi.org/10.3141/2560-03.
   Google Scholar
• C-ROADS 2019. C-ROADS -- The Platform of Harmonised C-ITS Deployment in Europe. Accessed October 11, 2021. https://www.c-roads.eu/platform.html.
   Google Scholar
• Duret, A., S. Ahn, and C. Buisson. 2012. “Lane Flow Distribution on a Three-Lane Freeway: General Features and the Effects of Traffic Controls.” Transportation Research Part C: Emerging Technologies24:157–167. https://doi.org/10.1016/j.trc.2012.02.009.
   Web of Science ®Google Scholar
• Duret, A., L. Leclercq, and N. E. El Faouzi. 2016. “Data Assimilation Using a Mesoscopic Lighthill–whitham–richards Model and Loop Detector Data: Methodology and Large-Scale Network Application.” Transportation Research Record 2560 (1): 26–36. https://doi.org/10.3141/2560-04.
   Google Scholar
• Grumert, E., X. Ma, and A. Tapani. 2015. “Analysis of a Cooperative Variable Speed Limit System Using Microscopic Traffic Simulation.” Transportation Research Part C: Emerging Technologies 52:173–186. https://doi.org/10.1016/j.trc.2014.11.004.
   Web of Science ®Google Scholar
• Grumert, E. F., and A. Tapani. 2017. “Using Connected Vehicles in a Variable Speed Limit System.” Transportation Research Procedia 27:85–92. https://doi.org/10.1016/j.trpro.2017.12.050.
   Google Scholar
• Grumert, E. F., and A. Tapani. 2018. “Traffic State Estimation Using Connected Vehicles and Stationary Detectors.” Journal of Advanced Transportation 2018:1–14. https://doi.org/10.1155/2018/4106086.
   Google Scholar
• Grumert, E. F., and A. Tapani. 2020. “Bottleneck Mitigation Through a Variable Speed Limit System Using Connected Vehicles.” Transportmetrica A: Transport Science 16 (2): 213–233. https://doi.org/10.1080/23249935.2018.1547332.
   Web of Science ®Google Scholar
• Grumert, E. F., A. Tapani, and X. Ma. 2018. “Characteristics of Variable Speed Limit Systems.” European Transport Research Review 10 (2): 21. https://doi.org/10.1186/s12544-018-0294-8.
   Web of Science ®Google Scholar
• Guériau, M., R. Billot, N. E. El Faouzi, J. Monteil, F. Armetta, and S. Hassas. 2016. “How to Assess the Benefits of Connected Vehicles? A Simulation Framework for the Design of Cooperative Traffic Management Strategies.” Transportation Research Part C: Emerging Technologies 67:266–279. https://doi.org/10.1016/j.trc.2016.01.020.
   Web of Science ®Google Scholar
• Guériau, M., and I. Dusparic. 2020. “Quantifying the Impact of Connected and Autonomous Vehicles on Traffic Efficiency and Safety in Mixed Traffic.” In 2020 IEEE 23rd International Conference on Intelligent Transportation Systems (ITSC) 1–8.
   Google Scholar
• Hadiuzzaman, M., and T. Z. Qiu. 2013. “Cell Transmission Model Based Variable Speed Limit Control for Freeways.” Canadian Journal of Civil Engineering 40 (1): 46–56. https://doi.org/10.1139/cjce-2012-0101.
   Web of Science ®Google Scholar
• Han, Y., D. Chen, and S. Ahn. 2017. “Variable Speed Limit Control At Fixed Freeway Bottlenecks Using Connected Vehicles.” Transportation Research Part B: Methodological 98:113–134. https://doi.org/10.1016/j.trb.2016.12.013.
   Web of Science ®Google Scholar
• Han, Y., A. Hegyi, Y. Yuan, S. Hoogendoorn, M. Papageorgiou, and C. Roncoli. 2017. “Resolving Freeway Jam Waves by Discrete First-Order Model-Based Predictive Control of Variable Speed Limits.” Transportation Research Part C: Emerging Technologies 77:405–420. https://doi.org/10.1016/j.trc.2017.02.009.
   Web of Science ®Google Scholar
• Han, Y., A. Hegyi, L. Zhang, Z. He, E. Chung, and P. Liu. 2022. “A New Reinforcement Learning-Based Variable Speed Limit Control Approach to Improve Traffic Efficiency Against Freeway Jam Waves.” Transportation Research Part C: Emerging Technologies 144:103900. https://doi.org/10.1016/j.trc.2022.103900.
   Web of Science ®Google Scholar
• Han, Y., M. Wang, Z. He, Z. Li, H. Wang, and P. Liu. 2021. “A Linear Lagrangian Model Predictive Controller of Macro-And Micro-Variable Speed Limits to Eliminate Freeway Jam Waves.” Transportation Research Part C: Emerging Technologies 128:103121. https://doi.org/10.1016/j.trc.2021.103121.
   Web of Science ®Google Scholar
• Hegyi, A., B. De Schutter, and J. Hellendoorn. 2005. “Optimal Coordination of Variable Speed Limits to Suppress Shock Waves.” IEEE Transactions on Intelligent Transportation Systems 6 (1): 102–112. https://doi.org/10.1109/TITS.2004.842408.
   Web of Science ®Google Scholar
• Hegyi, A., and S. P. Hoogendoorn. 2010. “Dynamic Speed Limit Control to Resolve Shock Waves on Freeways -- Field Test Results of the SPECIALIST Algorithm.” In IEEE Conference on Intelligent Transportation Systems, Proceedings, ITSC 519–524. https://doi.org/10.1109/ITSC.2010.5624974.
   Google Scholar
• Hegyi, A., S. P. Hoogendoorn, M. Schreuder, H. Stoelhorst, and F. Viti. 2008. “Specialist: A Dynamic Speed Limit Control Algorithm Based on Shock Wave Theory.” In IEEE Conference on Intelligent Transportation Systems, Proceedings, ITSC 827–832. https://doi.org/10.1109/ITSC.2008.4732611.
   Google Scholar
• Hegyi, A., B. D. Netten, M. Wang, W. Schakel, T. Schreiter, Y. Yuan, and T. Alkim. 2013. “A Cooperative System Based Variable Speed Limit Control Algorithm Against Jam Waves—An Extension of the SPECIALIST Algorithm.” In 16th International IEEE Conference on Intelligent Transportation Systems (ITSC 2013) 973–978.
   Google Scholar
• Jiang, R., E. Chung, and B. Lee. 2011. “Variable Speed Limits: Conceptual Design for Queensland Practice.” In Proceedings of the 34th Australasian Transport Research Forum 1–11.
   Google Scholar
• Jiang, R., A. B. Lucky, and E. Chung. 2011. “Calibration and Operational Analysis of Variable Speed Limits for High Flow Conditions.” In 2011 IEEE Forum on Integrated and Sustainable Transportation Systems 221–226. IEEE. https://doi.org/10.1109/FISTS.2011.5973640.
   Google Scholar
• Jonkers, E., G. Klunder, A. van der Horst, R. De Rooy, and B. DenV. 2008. “Development of an Algorithm for Using Weather-Dependent Dynamic Speed Limits to Enhance Safety.” In 15th World Congress on Intelligent Transport Systems, Its 2008, New York 16–20 November 2008, Technical Paper.
   Google Scholar
• Kattan, L., B. Khondaker, O. Derushkina, and E. Poosarla. 2015. “A Probe-Based Variable Speed Limit System.” Journal of Intelligent Transportation Systems: Technology, Planning, and Operations 19 (4): 339–354. https://doi.org/10.1080/15472450.2014.936294.
   Web of Science ®Google Scholar
• Khondaker, B., and L. Kattan. 2015a. “Variable Speed Limit: A Microscopic Analysis in a Connected Vehicle Environment.” Transportation Research Part C: Emerging Technologies 58:146–159. https://doi.org/10.1016/j.trc.2015.07.014.
   Web of Science ®Google Scholar
• Khondaker, B., and L. Kattan. 2015b. “Variable Speed Limit: An Overview.” Transportation Letters 7 (5): 264–278. https://doi.org/10.1179/1942787514Y.0000000053.
   Web of Science ®Google Scholar
• Kušić, K., I. Dusparic, M. Guériau, M. Gregurić, and E. Ivanjko. 2020. “Extended Variable Speed Limit control Using Multi-Agent Reinforcement Learning.” In 2020 IEEE 23rd International Conference on Intelligent Transportation Systems (ITSC) 1–8.
   Google Scholar
• Kušić, K., E. Ivanjko, M. Gregurić, and M. Miletić. 2020. “An Overview of Reinforcement Learning Methods for Variable Speed Limit Control.” Applied Sciences 10 (14): 4917. https://doi.org/10.3390/app10144917.
   Google Scholar
• Lee, C., B. Hellinga, and F. Saccomanno. 2006. “Evaluation of Variable Speed Limits to Improve Traffic Safety.” Transportation Research Part C: Emerging Technologies 14 (3): 213–228. https://doi.org/10.1016/j.trc.2006.06.002.
   Web of Science ®Google Scholar
• Li, Z., P. Liu, C. Xu, H. Duan, and W. Wang. 2017. “Reinforcement Learning-Based Variable Speed Limit Control Strategy to Reduce Traffic Congestion At Freeway Recurrent Bottlenecks.” IEEE Transactions on Intelligent Transportation Systems 18 (11): 3204–3217. https://doi.org/10.1109/TITS.2017.2687620.
   Web of Science ®Google Scholar
• Lopez, P. A., M. Behrisch, L. Bieker-Walz, J. Erdmann, Y. P. Flötteröd, R. Hilbrich, and E. Wießner. 2018. “Microscopic Traffic Simulation Using Sumo.” In 2018 21st International Conference on Intelligent Transportation Systems (ITSC) 2575–2582.
   Google Scholar
• Lu, X. Y., T. Z. Qiu, P. Varaiya, R. Horowitz, and S. E. Shladover. 2010. “Combining Variable Speed Limits with Ramp Metering for Freeway Traffic Control.” In Proceedings of the 2010 American Control Conference 2266–2271.
   Google Scholar
• Pan, T., W. H. Lam, A. Sumalee, and R. Zhong. 2021. “Multiclass Multilane Model for Freeway Traffic Mixed with Connected Automated Vehicles and Regular Human-Piloted Vehicles.” Transportmetrica A: Transport Science 17 (1): 5–33. https://doi.org/10.1080/23249935.2019.1573858.
   Web of Science ®Google Scholar
• Papageorgiou, M., and A. Kotsialos. 2002. “Freeway Ramp Metering: An Overview.” IEEE Transactions on Intelligent Transportation Systems 3 (4): 271–281. https://doi.org/10.1109/TITS.2002.806803.
   Web of Science ®Google Scholar
• Payne, H. J. 1971. “Model of Freeway Traffic and Control.” Mathematical Model of Public System 1: 51–61.
   Google Scholar
• Rakha, H., K. Ahn, and A. Trani. 2003. “Comparison of MOBILE5a, MOBILE6, VT-MICRO, and CMEM Models for Estimating Hot-Stabilized Light-Duty Gasoline Vehicle Emissions.” Canadian Journal of Civil Engineering 30 (6): 1010–1021. https://doi.org/10.1139/l03-017.
   Web of Science ®Google Scholar
• Rämä, P. 1999. “Effects of Weather-Controlled Variable Speed Limits and Warning Signs on Driver Behavior.” Transportation Research Record 1689 (1): 53–59. https://doi.org/10.3141/1689-08.
   Google Scholar
• Richards, P. I. 1956. “Shock Waves on the Highway.” Operations Research 4 (1): 42–51. https://doi.org/10.1287/opre.4.1.42.
   Web of Science ®Google Scholar
• Schmidt-Dumont, T., and J. H. van Vuuren. 2015. “Decentralised Reinforcement Learning for Ramp Metering and Variable Speed Limits on Highways.” IEEE Transactions on Intelligent Transportation Systems 14 (8): 1.
   Google Scholar
• Smulders, S. 1992. “Control by Variable Speed Signs: The Dutch Experiment.” In International Conference on Road Traffic Monitoring and Control (6th: 1992: London, England). 6th International Conference on Road Traffic Monitoring and Control.
   Google Scholar
• Smulders, S., and D. Helleman. 1998. “Variable Speed Control: State-Of-the-Art and Synthesis.” In 9th International Conference on Road Transport Information and Control, 1998.(Conf. Publ. No. 454) 155–159.
   Google Scholar
• Soriguera, F., J. M. Torné, and D. Rosas. 2013. “Assessment of Dynamic Speed Limit Management on Metropolitan Freeways.” Journal of Intelligent Transportation Systems: Technology, Planning, and Operations 17 (1): 78–90. https://doi.org/10.1080/15472450.2012.719455.
   Web of Science ®Google Scholar
• Van Aerde, M. 1995. “Single Regime Speed-Flow-Density Relationship for Congested and Uncongested Highways.” In 74th Annual Meeting of the Transportation Research Board, Washington, DC. Vol. 6.
   Google Scholar
• Vrbanić, F., E. Ivanjko, K. Kušić, and D. Čakija. 2021. “Variable Speed Limit and Ramp Metering for Mixed Traffic Flows: A Review and Open Questions.” Applied Sciences 11 (6): 2574. https://doi.org/10.3390/app11062574.
   Google Scholar
• Wang, M., W. Daamen, S. P. Hoogendoorn, and B. van Arem. 2016. “Connected Variable Speed Limits Control and Car-Following Control with Vehicle-Infrastructure Communication to Resolve Stop-And-go Waves.” Journal of Intelligent Transportation Systems: Technology, Planning, and Operations 20 (6): 559–572. https://doi.org/10.1080/15472450.2016.1157022.
   Web of Science ®Google Scholar
• Wang, Y., and M. Papageorgiou. 2005. “Real-Time Freeway Traffic State Estimation Based on Extended Kalman Filter: A General Approach.” Transportation Research Part B: Methodological 39 (2): 141–167. https://doi.org/10.1016/j.trb.2004.03.003.
   Web of Science ®Google Scholar
• Wu, Y., H. Tan, and B. Ran. 2018. “Differential Variable Speed Limits Control for Freeway Recurrent Bottlenecks via Deep Reinforcement Learning.” arXiv 1–24.
   Google Scholar
• Yang, H., H. Rakha, and M. V. Ala. 2017. “Eco-Cooperative Adaptive Cruise Control At Signalized Intersections Considering Queue Effects.” IEEE Transactions on Intelligent Transportation Systems 18 (6): 1575–1585. https://doi.org/10.1109/TITS.2016.2613740.
   Web of Science ®Google Scholar
• Yu, R., and M. Abdel-Aty. 2014. “An Optimal Variable Speed Limits System to Ameliorate Traffic Safety Risk.” Transportation Research Part C: Emerging Technologies 46:235–246. https://doi.org/10.1016/j.trc.2014.05.016.
   Web of Science ®Google Scholar
• Zhang, C., E. Chung, N. R. Sabar, A. Bhaskar, and Y. Ma. 2023. “Optimisation of Variable Speed Limits At the Freeway Lane Drop Bottleneck.” Transportmetrica A: Transport Science 19 (2): 2033878. https://doi.org/10.1080/23249935.2022.2033878.
   Web of Science ®Google Scholar