Some general results on the optimal ramp control problem

Transportation Research Part C: Emerging Technologies

Volumn 4, Issue 2, 1996, Pages 51-69

  Zhang, H ^a   Ritchie, S G ^a   Recker, W W ^a  

^a University of California at Irvine   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GROUND VEHICLES; HIGHWAY TRAFFIC CONTROL; MOTOR TRANSPORTATION; NUMERICAL METHODS; OPTIMAL CONTROL SYSTEMS; ROADS AND STREETS; TRANSPORTATION ROUTES;

OPTIMAL RAMP CONTROL PROBLEM; RAMP METERING; TRAFFIC FLOW PROCESS;

HIGHWAY SYSTEMS;

EID: 0030124931     PISSN: 0968090X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0968-090X(96)00002-2     Document Type: Article

References (25)

1. Blumentritt C. W., Pinnell C., McCasland W. R., Ross D. W. and Glazer J. (1981) Guidelines for Selection of Ramp Control Systems. NCHRP Report 232, Transportation Research Board, Washington, DC.
2. Bryson A. E. and Ho Yu-Chi (1975) Applied Optimal Control. John Wiley & Sons, New York.
3. Chen C.-I., Cruz J. B. Jr and Paquet J. G. (1974) Entrance Ramp Control For Travel Rate Maximization in Expressways. Transpn. Res. 8, 503-508.
4. Daganzo C. F. and Lin Wei-Hua (1994) The Spatial Evolution of Queues During the Morning Commute in a Single Corridor. Preprints, No. 940115, Transportation Research Board, Washington, DC.
5. Goldstein N. B. and Kumar K. S. P. (1982) A Decantralized Control Strategy for Freeway Regulation. Transpn Res.-B 16, 279-290.
6. Greenshields B. D. (1934) A Study of Traffic Capacity. Proc. Highway Res. Bd. 14, 448-477.
7. Isaksen L. and Payne H. J. (1973) Suboptimal Control of Linear Systems by Augmentation with Application to Freeway Traffic Regulation. IEEE Trans. Automatic Control 18, 210-219.
8. ITE Traffic Control Systems Handbook ITE (1985) (Edited by Wilshire R., Black R., Grochoske R. and Higinbotham J.). Institute of Transportation Engineers, pp. 4.18-4.23.
9. Lighthill M. J. and Whitham G. B. (1955) On Kinematic Waves: II. A Theory of Traffic Flow on Long Crowded Roads. Proc. R. Soc. Lond. Ser. A. 229, 317-345.
10. Luenberger D. (1984) Linear and Nonlinear Programming, Second Edition, Addison-Wesley, Reading, Massachusetts.
11. Lu, Jinfu and Guan, Zhi (1989) Numerical Methods for Partial Differential Equations (in Chinese). Qinghua University Press, Beijing.
12. Newell G. F. (1989) Comments on Traffic Dynamics. Transpn Res.-B 23, 386-389.
13. Newell G. F. (1991) A Simplified Theory of Kinematic Waves: I General Theory; II Queuing at Freeway Bottlenecks; III Multi-destination Flows. Transpn Res.-B 27, 281-313.
14. Newman L. et al. (1969) Freeway Ramp Control - What It Can and Cannot Do. Traffic Engng 39, 14-21.
15. Papageorgiou M. (1983) Applications of Automatic Control Concepts to Traffic Flow Modeling and Control, Lecture Notes in Control and Information Sciences, (Balakrishnan A. V. and Thoma M., Eds). Spring, Berlin, 94-100.
16. Papageorgiou M., Blosseville J.-M. and Habib H.-S. (1990) Modeling and Real-Time Control of Traffic Flow on the Southern Part of Boulevard Peripherique in Paris: Part II: Coordinated On-Ramp Metering. Transpn Res.-A 24, 361-370.
17. Papageorgiou M., Habib H. S. and Blosseville J. M. (1991) ALINEA: A Local Feedback Control Law for Onramp Metering. Transpn Res. Rec. 1320, 58-64.
18. Payne H. J., Thompson W. A. and Isaksen L. (1973) Design of Traffic Responsive Control System for a Los Angeles Freeway, IEEE Trans. Systems, Man, and Cybernetics smc-3, 213-224.
19. Ran B., Boyce D. E. and LeBlanc L. J. (1993) A New Class of Instantaneous Dynamic User-Optimal Traffic Assignment Models. Operat. Res. 41, 192-202.
20. Richards P. I. (1956) Shockwaves on the highway. Operat. Res. 4, 42-51.
21. Transportation Research Board (1975) Better Use of Existing Transportation Facilities. TRB Special Report 153, Washington, DC.
22. Wang J. J. and May A. D. (1973) Computer Model for Optimal Freeway On-Ramp Control. Highway Res. Rec. 469, 16-25.
23. Wattleworth J. A. and Berry D. S. (1965) Peak-period Control of a Freeway System - Some Theoretical Investigations. Highway Res. Rec. 89, 1-25.
24. Yuan L. S. and Kreer J. B. (1971) Adjustment of Freeway Ramp Metering Rates to Balance Entrance Ramp Queues. Transpn Res. 5, 127-133.
25. Zhang H., Ritchie S. and Lo Z. (1994) A Local Neural Network Controller for Freeway Ramp Metering. Int. Fed. Automatic Control, Proc. 7th Symp. Transpn Sys. Theory and Applications Adv. Technol. August 1994, Tianjin, China.