Multi-Objective Optimisation of a Variable Speed Limit Control Strategy in a Tunnel Maintenance Work Zone of the Mountain Highway

Authors

DOI:

https://doi.org/10.7250/bjrbe.2025-20.666

Keywords:

MPC control strategy, multi-objective optimization, NSGA-II, SUMO simulation, tunnel maintenance work zone, VSL control

Abstract

Variable Speed Limit (VSL) control is essential for managing highway tunnel maintenance work, as it adjusts speed limits based on road conditions to regulate traffic flow. Developing a VSL control strategy that balances traffic efficiency and safety during maintenance can be challenging. This paper addresses this issue by proposing a VSL control strategy based on Model Predictive Control (MPC) that considers the spatial characteristics of traffic flow in a tunnel maintenance work zone. The strategy aims to minimise total travel time, reduce speed variance, and maximise traffic flow through a multi-objective optimisation approach using a Non-dominated Sorting Genetic Algorithm II (NSGA-II). With the Qinling Tiantai Mountain Tunnel selected as the experimental object, a simulation section is constructed based on the SUMO model with the measured data, and a comparative experiment of different speed limit control cycles in the maintenance work zone is designed. The results show that the method of this paper can effectively reduce the total travel time under the influence of maintenance operations by more than 17.5%, reduce the standard deviation of speed by about 22.1%, and enhance the traffic volume by about 7.8%, which can effectively improve the efficiency of road access and safety level.

Supporting Agencies
CCCC First Highway Consultants Co., Ltd., Xi’an, China,, Scientific Research Project of Shaanxi Provincial Department of Transportation #1” under Grant No.21-42X, Innovation Capability Support Program of Shaanxi #2” under Grant No.2022TD-16

References

Abdulghani, A., & Lee, C. S. (2022). Differential variable speed limits to improve performance and safety of car-truck mixed traffic on freeways. Journal of Traffic and Transportation Engineering-English Edition, 9(6), 1003–1016. http://doi.org/10.1016/j.jtte.2021.08.004 DOI: https://doi.org/10.1016/j.jtte.2021.08.004

Caliendo, C., Guida, M., Postiglione, F., & Russo, I. (2022). A Bayesian bivariate hierarchical model with correlated parameters for the analysis of road crashes in Italian tunnels. Statistical Methods and Applications, 31(1), 109–131. http://doi.org/10.1007/s10260-021-00567-5 DOI: https://doi.org/10.1007/s10260-021-00567-5

Chen, Z., & Qin, X. (2019). A novel method for imminent crash prediction and prevention. Accident Analysis and Prevention, 125, 320–329. http://doi.org/10.1016/j.aap.2018.07.011 Cheng, G. Z., & Cheng, R. (2020). Optimizing speed limits upstream of freeway reconstruction and expansion work zones based on driver characteristics. Journal of Transportation Engineering, Part A: Systems, 146(7). http://doi.org/10.1061/jtepbs.0000389 DOI: https://doi.org/10.1061/JTEPBS.0000389

Cho, H. W., & Laval, J. A. (2020). Combined ramp-metering and variable speed limit system for capacity drop control at merge bottlenecks. Journal of Transportation Engineering, Part A: Systems, 146(6). http://doi.org/10.1061/jtepbs.0000350 DOI: https://doi.org/10.1061/JTEPBS.0000350

Du, S. M., & Razavi, S. (2019). Variable speed limit for freeway work zone with capacity drop using discrete-time sliding mode control. Journal of Computing in Civil Engineering, 33(2). http://doi.org/10.1061/(asce)cp.1943-5487.0000815 DOI: https://doi.org/10.1061/(ASCE)CP.1943-5487.0000815

Du, S. M., & Razavi, S. (2020). Fault-tolerant control of variable speed limits for freeway work zone using likelihood estimation. Advanced Engineering Informatics, 45, Article 101133. http://doi.org/10.1016/j.aei.2020.101133 DOI: https://doi.org/10.1016/j.aei.2020.101133

Fauchet, E., Bhattacharyya, K., Laharotte, P. A., & El Faouzi, N. E. (2024). A Lagrangian approach for variable speed limit implementation in C-ITS framework. Transportmetrica A: Transport Science, Article 2347604. http://doi.org/10.1080/23249935.2024.2347604 DOI: https://doi.org/10.1080/23249935.2024.2347604

Frejo, J. R. D., Papamichail, I., Papageorgiou, M., & De Schutter, B. (2019). Macroscopic modeling of variable speed limits on freeways. Transportation Research Part C: Emerging Technologies, 100, 15–33. http://doi.org/10.1016/j.trc.2019.01.001 DOI: https://doi.org/10.1016/j.trc.2019.01.001

Gao, H. Y., Jia, H. F., Wu, R. Y., Huang, Q. Y., Tian, J. J., Liu, C., & Wang, X. C. (2024). Variable speed limit control for mixed traffic flow on highways based on deep-reinforcement learning. Journal of Transportation Engineering, Part A: Systems, 150(3). http://doi.org/10.1061/jtepbs.Teeng-8116 DOI: https://doi.org/10.1061/JTEPBS.TEENG-8116

Gaveniene, L., Cygas, D., Jateikiene, L., Vorobjovas, V., Jasiuniene, V., & Zarins, A. (2023). An assessment of the effect of the average speed enfoecement systems on Lithuanian roads. The Baltic Journal of Road and Bridge Engineering, 18(3), 217–233. http://doi.org/10.7250/bjrbe.2023-18.615 DOI: https://doi.org/10.7250/bjrbe.2023-18.615

Greguric, M., Kusic, K., & Ivanjko, E. (2022). Impact of deep reinforcement learning on variable speed limit strategies in connected vehicles environments. Engineering Applications of Artificial Intelligence, 112, Article 104850. http://doi.org/10.1016/j.engappai.2022.104850 DOI: https://doi.org/10.1016/j.engappai.2022.104850

Guo, J., Ma, C. X., Xu, X. C., Zhao, Y. P., & Lu, X. J. (2022). Investigation on variable speed limit control strategy of expressway under adverse weather conditions. Physica A: Statistical Mechanics and its Applications, 602, Article 127616. http://doi.org/10.1016/j.physa.2022.127616 DOI: https://doi.org/10.1016/j.physa.2022.127616

Han, Y., Hegyi, A., Yuan, Y. F., Hoogendoorn, S., Papageorgiou, M., & Roncoli, C. (2017). Resolving freeway freeway jam waves by discrete first-order model-based predictive control of variable speed limits. Transportation Research Part C: Emerging Technologies, 77, 405–420. http://doi.org/10.1016/j.trc.2017.02.009 DOI: https://doi.org/10.1016/j.trc.2017.02.009

Han, Y., Wang, M., He, Z., Li, Z., Wang, H., & Liu, P. (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. http://doi.org/10.1016/j.trc.2021.103121 DOI: https://doi.org/10.1016/j.trc.2021.103121

Hou, G. Y., & Chen, S. R. (2020). Study of work zone traffic safety under adverse driving conditions with a microscopic traffic simulation approach. Accident Analysis and Prevention, 145, Article 105698. http://doi.org/10.1016/j.aap.2020.105698 DOI: https://doi.org/10.1016/j.aap.2020.105698

Huang, Y. N., Chen, F., Song, M. T., Pan, X. D., & You, K. S. (2023). Effect evaluation of traffic guidance in urban underground road diverging and merging areas: A simulator study. Accident Analysis and Prevention, 186, Article 107036. http://doi.org/10.1016/j.aap.2023.107036 DOI: https://doi.org/10.1016/j.aap.2023.107036

Jin, J. L., Li, Y., Huang, H. L., Dong, Y. X., & Liu, P. (2024). A variable speed limit control approach for freeway tunnels based on the model-based reinforcement learning framework with safety perception. Accident Analysis and Prevention, 201, Article 107570. http://doi.org/10.1016/j.aap.2024.107570 DOI: https://doi.org/10.1016/j.aap.2024.107570

Kim, Y., Kang, K., Park, N., Park, J., & Oh, C. (2024). Reinforcement learning approach to develop variable speed limit strategy using vehicle data and simulations. Journal of Intelligent Transportation Systems, 29(3), 251–268. http://doi.org/10.1080/15472450.2024.2312808 DOI: https://doi.org/10.1080/15472450.2024.2312808

Kreicbergs, J., Smirnovs, J., Lama, A., Smirnovs, J., & Zarins, A. (2021). Road traffic safety development trends in Latvia. The Baltic Journal of Road and Bridge Engineering, 16(4), 58–75. http://doi.org/10.7250/bjrbe.2021-16.539 DOI: https://doi.org/10.7250/bjrbe.2021-16.539

Leonavičienė, T., Pukalskas, S., Pumputis, V., Kulešienė, E., & Žuraulis, V. (2020). Investigation of Factors That Have Affected the Outcomes of Road Traffic Accidents on Lithuanian Roads. The Baltic Journal of Road and Bridge Engineering, 15(5), 1–20. http://doi.org/10.7250/bjrbe.2020-15.504 DOI: https://doi.org/10.7250/bjrbe.2020-15.504

Li, S., Smirnova, M. N., Yang, S. J., Smirnov, N. N., & Zhu, Z. J. (2024). Exploring the effects of work zone on vehicular flow on ring freeways with a tunnel using a three-lane continuum model. International Journal of Transportation Science and Technology, 14, 27–41. http://doi.org/10.1016/j.ijtst.2023.03.004 DOI: https://doi.org/10.1016/j.ijtst.2023.03.004

Mazrekaj, R., Đurin, B., Shala, A., Lajqi, S., & Alamatian, E. (2022). A novel approach to analysis of road accidents using the trend analysis and IPTA method: A case study of Kosovo. The Baltic Journal of Road and Bridge Engineering, 17(4), 1–17. http://doi.org/10.7250/bjrbe.2022-17.576 DOI: https://doi.org/10.7250/bjrbe.2022-17.576

Muralidharan, A., & Horowitz, R. (2015). Computationally efficient model predictive control of freeway networks. Transportation Research Part C: Emerging Technologies, 58, 532–553. http://doi.org/10.1016/j.trc.2015.03.029 DOI: https://doi.org/10.1016/j.trc.2015.03.029

Niu, J., Lin, S., Lou, E., Li, Z., Chen, K., & Li, H. (2022). Design and simulation of a variable speed limit system for freeway bottleneck areas. Sustainability, 15(1), Article 162. http://doi.org/10.3390/su15010162 DOI: https://doi.org/10.3390/su15010162

Sorum, N., & Sorum, M. (2025). Modelling of young and old driver injury severity in speeding-related road accidents. Proceedings of the Institution of Civil Engineers – Municipal Engineer, 178(3), 161–176. http://doi.org/10.1680/jmuen.25.00005 DOI: https://doi.org/10.1680/jmuen.25.00005

Wang, J. H., Song, H., Fu, T., Behan, M., Jie, L., He, Y. X., & Shangguan, Q. Q. (2022). Crash prediction for freeway work zones in real time: A comparison between Convolutional Neural Network and Binary Logistic Regression model. International Journal of Transportation Science and Technology, 11(3), 484–495. http://doi.org/10.1016/j.ijtst.2021.06.002 DOI: https://doi.org/10.1016/j.ijtst.2021.06.002

Wang, Y. B., Yu, X. H., Zhang, S. Y., Zheng, P. J., Guo, J. Q., Zhang, L. H., Hu, S., Cheng, S., & Wei, H. (2021). Freeway traffic control in presence of capacity drop. IEEE Transactions on Intelligent Transportation Systems, 22(3), 1497–1516. http://doi.org/10.1109/tits.2020.2971663 DOI: https://doi.org/10.1109/TITS.2020.2971663

Wang, Z. J., & Lee, J. Y. (2021). Enhancing construction truck safety at work zones: A microscopic traffic simulation study. IEEE Access, 9, 49750–49759. http://doi.org/10.1109/access.2021.3069275 DOI: https://doi.org/10.1109/ACCESS.2021.3069275

Wu, Y. K., Tan, H. C., Qin, L. Q., & Ran, B. (2020). Differential variable speed limits control for freeway recurrent bottlenecks via deep actor-critic algorithm. Transportation Research Part C: Emerging Technologies, 117, Article 102649. http://doi.org/10.1016/j.trc.2020.102649 DOI: https://doi.org/10.1016/j.trc.2020.102649

Yang, X. F., Lu, Y., & Lin, Y. J. (2017). Optimal variable speed limit control system for freeway work zone operations. Journal of Computing in Civil Engineering, 31(1). http://doi.org/10.1061/(asce)cp.1943-5487.0000610 DOI: https://doi.org/10.1061/(ASCE)CP.1943-5487.0000610

Zhai, B., Wang, Y. L., Wu, B., & Wang, W. X. (2023). Adaptive control strategy of variable speed limit on freeway segments under fog conditions. Journal of Transportation Engineering, Part A: Systems, 149(10). http://doi.org/10.1061/jtepbs.Teeng-7699 DOI: https://doi.org/10.1061/JTEPBS.TEENG-7699

Zhang, C. B., Chung, E., Sabar, N. R., Bhaskar, A., & Ma, Y. F. (2023). Optimisation of variable speed limits at the freeway lane drop bottleneck. Transportmetrica A: Transport Science, 19(2), Article 2033878. http://doi.org/10.1080/23249935.2022.2033878 DOI: https://doi.org/10.1080/23249935.2022.2033878

Zhang, R. C., Xu, S. L., Yu, R. J., & Yu, J. Q. (2024). Enhancing multi-scenario applicability of freeway variable speed limit control strategies using continual learning. Accident Analysis and Prevention, 204, Article 107645. http://doi.org/10.1016/j.aap.2024.107645 DOI: https://doi.org/10.1016/j.aap.2024.107645

Zuraulis, V., & Surblys, V. (2021). Assessment of risky cornering on a horizontal road curve by improving vehicle suspension performance. The Baltic Journal of Road and Bridge Engineering, 16(4), 1–27. http://doi.org/10.7250/bjrbe.2021-16.537 DOI: https://doi.org/10.7250/bjrbe.2021-16.537

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Published

15.12.2025

How to Cite

Fu, Z., Kang, R., Li, C., Liu, S., & Dong, C. (2025). Multi-Objective Optimisation of a Variable Speed Limit Control Strategy in a Tunnel Maintenance Work Zone of the Mountain Highway. The Baltic Journal of Road and Bridge Engineering, 20(4), 66-89. https://doi.org/10.7250/bjrbe.2025-20.666