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Stochastic modeling of the dynamics of incident-induced lane traffic states for incident-responsive local ramp control

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  • Sheu, Jiuh-Biing

Abstract

Incident-induced traffic congestion has been recognized as a critical issue to solve in the development of advanced freeway incident management systems. This paper investigates the applicability of a stochastic optimal control approach to real-time incident-responsive local ramp control on freeways. The architecture of the proposed ramp control system embeds two primary functions including (1) real-time estimation of incident-induced lane traffic states and (2) dynamic prediction of ramp-metering rates in response to the changes of incident impacts. To accomplish the above two goals, a discrete-time nonlinear stochastic optimal control model is proposed, followed by the development of a recursive prediction algorithm. Based on the simulation data, the numerical results of model tests indicate that the proposed method permits relieving incident impacts particularly under low-volume and medium-volume conditions, relative to high-volume lane-blocking conditions. Particularly, the incident-induced queue lengths can be improved by 50.1% and 67.9%, compared to the existing ramp control and control-free strategies, respectively.

Suggested Citation

  • Sheu, Jiuh-Biing, 2007. "Stochastic modeling of the dynamics of incident-induced lane traffic states for incident-responsive local ramp control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(1), pages 365-380.
    • Handle: RePEc:eee:phsmap:v:386:y:2007:i:1:p:365-380
    DOI: 10.1016/j.physa.2007.08.005
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    References listed on IDEAS

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    1. Zhang, H. M. & Recker, W. W., 1999. "On optimal freeway ramp control policies for congested traffic corridors," Transportation Research Part B: Methodological, Elsevier, vol. 33(6), pages 417-436, August.
    2. Sheu, Jiuh-Biing & Chou, Yi-Hwa & Shen, Liang-Jen, 2001. "A stochastic estimation approach to real-time prediction of incident effects on freeway traffic congestion," Transportation Research Part B: Methodological, Elsevier, vol. 35(6), pages 575-592, July.
    3. Kerner, Boris S., 2005. "Control of spatiotemporal congested traffic patterns at highway bottlenecks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 355(2), pages 565-601.
    4. Smaragdis, Emmanouil & Papageorgiou, Markos & Kosmatopoulos, Elias, 2004. "A flow-maximizing adaptive local ramp metering strategy," Transportation Research Part B: Methodological, Elsevier, vol. 38(3), pages 251-270, March.
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    Cited by:

    1. 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).
    2. Toan, Trinh Dinh & Wong, Yiik Diew & Lam, Soi Hoi & Meng, Meng, 2022. "Developing a fuzzy-based decision-making procedure for traffic control in expressway congestion management," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 604(C).

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