Optimal Control of Freeway Corridors
Publication: Journal of Transportation Engineering
Volume 119, Issue 4
Abstract
Hierarchical traffic control that adapts to exogenous changes, optimizes system performance, and reduces local disturbances is one of the most effective advanced traffic management system methods for relieving congestion in freeway corridors. Optimal ramp‐metering control lies at the center of such a hierarchical control system. However, current ramp‐metering control strategies are not truly dynamic, are not optimal, or consider only parts of the freeway corridor. This paper presents an optimal ramp‐metering control method to alleviate congestion in the interacting corridor components, including freeway, parallel arterials, and connecting streets. The control formulation employs a continuum traffic‐flow model of the corridor dynamics, and the conjugate gradient method to search for optimal ramp‐metering rates according to the total travel time in the corridor. A test of the optimal metering for a simple one‐ramp segment of a freeway corridor is presented.
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References
1.
Chang, K.‐K. (1990). “Optimal ramp‐metering control for freeway corridors,” MS thesis, Univ. of Minnesota, Twin Cities, Minneapolis, Minn.
2.
Drew, D. R., Brewer, K. A., Buhr, J. H., and Whitson, R. H. (1969). “Multilevel approach to the design of a freeway control system.” Hwy. Res. Rec. No. 279, Highway Research Board, National Research Council, Washington, D.C., 40–55.
3.
Georgadakos, G., Plum, R., and Michalopoulos, P. G. (1988). KRONOS‐5: An interactive freeway simulation program for personal computers. Center for Transportation Studies, Dept. of Civil and Mineral Engineering, Univ. of Minnesota, Minneapolis, Minn.
4.
Gerlough, D. L., and Huber, M. J. (1975). “Traffic flow theory: A monograph.” TRB Special Rep. 165, Transportation Research Board, National Research Council, Washington, D.C.
5.
Imada, T., and May, A. D. (1985). “FREQ8PE: A freeway corridor simulation and ramp metering optimization model.” Res. Rep. UCB‐ITS‐RR‐85‐10. Institute of Transportation Studies, Univ. of California, Berkeley, Berkeley, Calif.
6.
“Integrated Simulation Model—Phase II: TRAF User Guide.” (1985). Rep. No. FHWA‐RD‐85. U.S. Department of Transportation, Federal Highway Administration, Washington, D.C.
7.
Kaya, A. (1970). “Optimization of traffic flow for an urban transportation system, PhD thesis, University of Minnesota, Twin Cities, Minneapolis, Minn.
8.
Lasdon, L. S., Mitter, S. K., and Waren, A. D. (1967). “The conjugate gradient method for optimal control problems.” IEEE Transactions on Automatic Control, AC‐12(2), 132–138.
9.
Lax, P., and Wendroff, B. (1960). “Systems of conservation laws.” Commun. on Pure and App. Math., XIII, 217–237.
10.
Papageorgiou, M. (1980). “A new approach to time‐of‐day control based on a dynamic freeway traffic model.” Transp. Res., 14B(4), 349–360.
11.
Papageorgiou, M. (1983). “A hierarchical control system for freeway traffic.” Transp. Res., 17B(3), 251–261.
12.
Rao, S. S. (1979). Optimization: Theory and application. Wiley Eastern Limited, New Delhi, India.
13.
Stephanedes, Y. J., Kwon, E., and Chang, K.‐K. (1991). “Demand responsive ramp‐metering control in freeway corridors.” Final Rep. UM‐CTS‐5048‐91. Univ. of Minnesota, Twin Cities, Minneapolis, Minn.
14.
Wattleworth, J. A., and Berry, D. S. (1965). “Peak period control of a freeway system—Some theoretical investigations.” Hwy. Res. Rec. No. 89, 1–25.
15.
Yuan, L. S., and Kreer, J. B. (1971). “Adjustment of freeway ramp metering rates to balance entrance ramp queues.” Transp. Res., 5, 127–133.
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Copyright © 1993 American Society of Civil Engineers.
History
Received: Jan 8, 1992
Published online: Jul 1, 1993
Published in print: Jul 1993
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