Set of New Traffic-Responsive Ramp-Metering Algorithms and Microscopic Simulation Results

Abstract

A novel switching traffic-responsive ramp-metering controller adapts to different traffic dynamics under different congestion conditions: free-flow or congested. The approach of multirate linear quadratic control with integral action is used to compensate for disturbances and to accommodate the difference between the model sampling time and the metering-rate update interval. In addition, a queue length regulator is designed to prevent the queue from exceeding the ramp storage capacity and yield improved performance over the current ad hoc queue override scheme. Subsequently, a queue length estimator is designed to provide feedback to the queue length regulator with the queue-detector speed data that are available in the field. A local ramp-metering control strategy is proposed to achieve the control goal of reducing the spatial and temporal span of the congestion, while satisfying the on-ramp storage capacity constraints, by using locally available information. Test results on a calibrated microscopic traffic simulator demonstrate the performance and effectiveness of the switching ramp-metering controller, the queue length estimator and regulator, and the overall control strategy. The total vehicle and passenger congestion delays are both reduced by 16%, and the total travel time is improved by 5.6%. As a comparison, simulation results of ALINEA are also presented.

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References

Schrank

and Lomax

The 2004 Urban Mobility Report. Texas Transportation Institute, Austin. Sept. 2004. mobility.tamu.edu/. Accessed Feb. 2005.

Cambridge Systematics and Texas Transportation Institute. Traffic Congestion and Reliability: Linking Solutions to Problems. FHWA, U.S. Department of Transportation. July 19, 2004. www.ops.fhwa.dot.gov/congestion_report/. Accessed Feb. 2005.

Muñoz

Sun

Horowitz

and Alvarez

Traffic Density Estimation with the Cell Transmission Model. Proc., 2003 American Control Conference, Denver, Colo., 2003, pp. 3750–3755.

Muñoz

Sun

Horowitz

and Alvarez

Piecewise-Linearized Cell Transmission Model and Parameter Calibration Methodology. In Transportation Research Record: Journal of the Transportation Research Board, No. 1965, Transportation Research Board of the National Academies, Washington, D.C., 2006, pp. 183–191.

Papageorgiou

Hadj-Salem

and Blosseville

J.-M.

ALINEA: A Local Feedback Control Law for On-Ramp Metering. In Transportation Research Record 1320, TRB, National Research Council, Washington, D.C., 1991, pp. 58–64.

Daganzo

C. F.

The Cell Transmission Model: A Dynamic Representation of Highway Traffic Consistent with the Hydrodynamic Theory. Transportation Research B, Vol. 28, No. 4, Aug. 1994, pp. 269–287.

Daganzo

C. F.

The Cell Transmission Model, Part II: Network Traffic. Transportation Research B, Vol. 29, No. 2, April 1995, pp. 79–93.

Muñoz

Sun

Gomes

and Horowitz

Methodological Calibration of the Cell Transmission Model. Proc., 2004 American Control Conference, Boston, Mass., 2004, pp. 798–803.

Sun

Muñoz

and Horowitz

Highway Traffic State Estimation Using Improved Mixture Kalman Filters for Effective Ramp Metering Control. Proc., 42nd IEEE Conference on Decision and Control, Maui, Hawaii, 2003, pp. 6333–6338.

10.

Sun

Muñoz

and Horowitz

Mixture Kalman Filter Based Highway Congestion Mode and Vehicle Density Estimator and Its Application. Proc., 2004 American Control Conference, Boston, Mass., 2004, pp. 2098–2103.

11.

Sun

and Horowitz

A Localized Switching Ramp-Metering Controller with a Queue Length Regulator for Congested Freeways. Proc., 2005 American Control Conference, Portland, Ore., 2005, pp. 2141–2146.

12.

Papageorgiou

Blosseville

J.-M.

and Hadj-Salem

Modeling and Real-Time Control of Traffic Flow on the Southern Part of Boulevard Périphérique in Paris: Part II: Coordinated On-Ramp Metering. Transportation Research A, Vol. 24, No. 5, Sept. 1990, pp. 361–370.

13.

Gordon

R. L.

Algorithm for Controlling Spillback from Ramp Meters. In Transportation Research Record 1554, TRB, National Research Council, Washington, D.C., 1996, pp. 162–171.

14.

Ozbay

and Kachroo

Feedback Ramp Metering for Intelligent Transportation System. Kluwer Academic Publishers, New York, 2003.

15.

Ozbay

Yasar

and Kachroo

Comprehensive Evaluation of Feedback-Based Freeway Ramp-Metering Strategy by Using Microscopic Simulation: Taking Ramp Queues into Account. In Transportation Research Record: Journal of the Transportation Research Board, No. 1867, Transportation Research Board of the National Academies, Washington, D.C., 2004, pp. 89–96.

16.

Smaragdis

and Papageorgiou

Series of New Local Ramp Metering Strategies. In Transportation Research Record: Journal of the Transportation Research Board, No. 1856, Transportation Research Board of the National Academies, Washington, D.C., 2003, pp. 74–86.

17.

VISSIM. PTV AG. 2004. www.english.ptv.de/cgi-bin/traffic/traf_vissim. pl. Accessed Feb. 2005.

18.

Rousseeuw

P. J.

Least Median of Squares Regression. Journal of the American Statistical Association, Vol. 79, No. 388 1984, pp. 871–880.

19.

Gomes

and Horowitz

Globally Optimal Solutions to the Onramp Metering Problem, Part I. Proc., Seventh International IEEE Conference on Intelligent Transportation Systems, Washington, D.C., 2004, pp. 509–514.

20.

Gomes

and Horowitz

Globally Optimal Solutions to the Onramp Metering Problem, Part II. Proc., Seventh International IEEE Conference on Intelligent Transportation Systems, Washington, D.C., 2004, pp. 515–520.

21.

TIGER: Topologically Integrated Geographic Encoding and Referencing system. U.S. Census Bureau. Jan. 2005. www.census.gov/geo/www/tiger/. Accessed Feb. 2005.

22.

Gomes

May

and Horowitz

Congested Freeway Microsimulation Model Using VISSIM. In Transportation Research Record: Journal of the Transportation Research Board, No. 1876, Transportation Research Board of the National Academies, Washington, D.C., 2004, pp. 71–81.

23.

Gomes

G. C.

Optimization and Microsimulation of On-ramp Metering for Congested Freeways. PhD dissertation. University of California, Berkeley, 2004. Accessed Feb. 2005.