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Control of freeway traffic flow by variable speed signs

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  • Smulders, Stef

Abstract

In this paper a freeway traffic control problem is considered. Control is exerted by means of the variable speed signs of the Dutch Motorway Control and Signalling System. After determining an important effect of the advisory speed signals on driver behaviour, a model for traffic in one section of a freeway is presented and its stability properties are investigated. Based on this model a hysteresis type control policy is proposed that optimizes the throughput of the freeway section and succeeds in postponing congestion. The latter is illustrated by means of a simulation.

Suggested Citation

  • Smulders, Stef, 1990. "Control of freeway traffic flow by variable speed signs," Transportation Research Part B: Methodological, Elsevier, vol. 24(2), pages 111-132, April.
    • Handle: RePEc:eee:transb:v:24:y:1990:i:2:p:111-132
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    Cited by:

    1. Minh Sang Pham Do & Ketoma Vix Kemanji & Man Dinh Vinh Nguyen & Tuan Anh Vu & Gerrit Meixner, 2023. "The Action Point Angle of Sight: A Traffic Generation Method for Driving Simulation, as a Small Step to Safe, Sustainable and Smart Cities," Sustainability, MDPI, vol. 15(12), pages 1-27, June.
    2. Ioannou, Petros & Zhang, Yihang & Zhao, Yanbo, 2016. "Traffic Flow Models and Impact of Combined Lane Change and Speed Limit Control on Environment in Case of High Truck Traffic Volumes," Institute of Transportation Studies, Working Paper Series qt0d33t3j6, Institute of Transportation Studies, UC Davis.
    3. Hiribarren, Gabriel & Herrera, Juan Carlos, 2014. "Real time traffic states estimation on arterials based on trajectory data," Transportation Research Part B: Methodological, Elsevier, vol. 69(C), pages 19-30.
    4. Bliemer, Michiel C.J. & Raadsen, Mark P.H., 2019. "Continuous-time general link transmission model with simplified fanning, Part I: Theory and link model formulation," Transportation Research Part B: Methodological, Elsevier, vol. 126(C), pages 442-470.
    5. Taniguchi, Yohei & Nishi, Ryosuke & Ezaki, Takahiro & Nishinari, Katsuhiro, 2015. "Jam-absorption driving with a car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 433(C), pages 304-315.
    6. Rodrigo C. Carlson & Ioannis Papamichail & Markos Papageorgiou & Albert Messmer, 2010. "Optimal Motorway Traffic Flow Control Involving Variable Speed Limits and Ramp Metering," Transportation Science, INFORMS, vol. 44(2), pages 238-253, May.
    7. Xiang Wang & Po Zhao & Yanyun Tao, 2018. "Evaluating Impacts of Overloaded Heavy Vehicles on Freeway Traffic Condition by a Novel Multi-Class Traffic Flow Model," Sustainability, MDPI, vol. 10(12), pages 1-22, December.
    8. Raadsen, Mark P.H. & Bliemer, Michiel C.J., 2023. "General solution scheme for the static link transmission model," Transportation Research Part B: Methodological, Elsevier, vol. 169(C), pages 108-135.
    9. Jun Niu & Shan Lin & Erlong Lou & Zongdian Li & Kaiqun Chen & Haijian Li, 2022. "Design and Simulation of a Variable Speed Limit System for Freeway Bottleneck Areas," Sustainability, MDPI, vol. 15(1), pages 1-17, December.
    10. Bliemer, Michiel C.J. & Raadsen, Mark P.H., 2020. "Static traffic assignment with residual queues and spillback," Transportation Research Part B: Methodological, Elsevier, vol. 132(C), pages 303-319.
    11. Storm, Pieter Jacob & Mandjes, Michel & van Arem, Bart, 2022. "Efficient evaluation of stochastic traffic flow models using Gaussian process approximation," Transportation Research Part B: Methodological, Elsevier, vol. 164(C), pages 126-144.
    12. Raadsen, Mark P.H. & Bliemer, Michiel C.J., 2019. "Continuous-time general link transmission model with simplified fanning, Part II: Event-based algorithm for networks," Transportation Research Part B: Methodological, Elsevier, vol. 126(C), pages 471-501.
    13. Yuan, Naitong & Ma, Minghui & Liang, Shidong & Wang, Wenjie & Zhang, Hu, 2022. "Optimal control method of freeway based on tollbooths lane configuration and variable speed limit control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    14. Han, Youngjun & Chen, Danjue & Ahn, Soyoung, 2017. "Variable speed limit control at fixed freeway bottlenecks using connected vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 98(C), pages 113-134.
    15. Liu, Wei & Yin, Yafeng & Yang, Hai, 2015. "Effectiveness of variable speed limits considering commuters’ long-term response," Transportation Research Part B: Methodological, Elsevier, vol. 81(P2), pages 498-519.
    16. Rockwell International Science Center, 1992. "Potential Payoffs From Ivhs: A Framework For Analysis," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt7gf7j8n2, Institute of Transportation Studies, UC Berkeley.
    17. Martínez, Irene & Jin, Wen-Long, 2020. "Optimal location problem for variable speed limit application areas," Transportation Research Part B: Methodological, Elsevier, vol. 138(C), pages 221-246.
    18. Yuan, Tianchen & Ioannou, Petros A., 2023. "Coordinated Traffic Flow Control in a Connected Environment," Institute of Transportation Studies, Working Paper Series qt6q67f9z4, Institute of Transportation Studies, UC Davis.
    19. Nishi, Ryosuke & Tomoeda, Akiyasu & Shimura, Kenichiro & Nishinari, Katsuhiro, 2013. "Theory of jam-absorption driving," Transportation Research Part B: Methodological, Elsevier, vol. 50(C), pages 116-129.
    20. Chen, Danjue & Ahn, Soyoung & Hegyi, Andreas, 2014. "Variable speed limit control for steady and oscillatory queues at fixed freeway bottlenecks," Transportation Research Part B: Methodological, Elsevier, vol. 70(C), pages 340-358.

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