A differential game modeling approach to dynamic traffic assignment and traffic signal control

Proceedings of the IEEE International Conference on Systems, Man and Cybernetics

Volumn 1, Issue , 2003, Pages 849-855

  Li, Zhen Iong ^a  

^a INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

Differential game; Dynamic traffic assignment; Traffic signal control

Indexed keywords

ALGORITHMS; CONTROL SYSTEM ANALYSIS; GAME THEORY; MATHEMATICAL MODELS; SIGNAL SYSTEMS; SIMULATED ANNEALING;

DIFFERENTIAL GAME MODELING; DYNAMIC TRAFFIC ASSAIGNMENT; OPEN-LOOP INFORMATION STRUCTURE; TRAFFIC SIGNAL CONTROL;

HIGHWAY TRAFFIC CONTROL;

EID: 0242492181     PISSN: 08843627     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (18)

1. Yang H, Yagar S, "Traffic assignment and signal control in saturated road networks", Transportation Research, Vol 29A, No 2, pp.125-139, 1995
2. Allsop R E, "Some possibilities for using traffic control to influence trip distribution and route choice". Pro 6th Int. Symp. on transportation and Traffic Theory, Elsevier, New York, pp. 345-373, 1974
3. G.E. Cantarella, Improta G. and Sforza A. "Iterative procedure for equilibrium network traffic signal setting". Transportation Research, Vol 24A, pp.241-249, 1991.
4. Fisks C S, "Game theory and transportation systems modeling", Transportation Research, Vol.18B, pp.301-313, 1984
5. Yosef Sheffi and Warren B. Powell. "Optimal signal settings over transportation networks". Journal of Transportation Engineering, Vol 109, No 6, pp. 824-839, 1983.
6. Smith, M.J., et al. "The Dynamic of Traffic Assignment and Traffic Control: a Theoretical Study", Transportation Research, Vol 24B, No 6, 409-412
7. Smith M.J. and Van Vuren T. "Traffic equilibrium with responsive traffic control". Transportation science, Vol 27, pp. 118-132, 1993.
8. M.J. Smith, "Traffic control and route choice: a simple example". Transportation Research, Vol 13B, No4, pp.289-294, 1979.
9. M.S. Al-Malik, An investigation and development of a combined traffic signal control -traffic assignment model. Ph.D Dissertation, Georgia Institute of Technology, 1991.
10. H.K. Chen and C.F. Hsueh. "Combining signal timing plan and dynamic traffic assignment". In paper presented at the 76th annual transportation Research Board Meeting, Washington, D.C, January, 12-16, 1997
11. Owen J. Chen and Moshe Ben-Akiva (1998), "Dynamic traffic control and assignment: a game-theoretic approach". Presented in the 77th Annual Meeting of Transportation Research Board, Washington, DC, January 11-15, 1998.
12. Joseph Lewin, Differential Games, Springer-Verlag, London Limited, 1994.
13. M. Thoma, A. Wyner, Differential Games-Developments in Modeling and Computation, Springer-Verlag, Berlin, Heidelberg 1991
14. Merchant D.K. and Nemhauser G.L, "A Model and an Algorithm for the Dynamic Traffic Assignment Problems", Transportation Science, Vol 12, No3, pp. 183-199, 1978
15. Carey, M. "Nonconvexity of the dynamic traffic assignment problem", Transportation Research, Vol 26B, No2, pp.127-133, 1992.
16. Friesz, T.L, Luque, F.J., Tobin, R.L. and Wie, B.W., "Dynamic network traffic assignment considered as a continuous time optimal control problem", Operations Research, Vol 37, pp.893-901
17. M. Carey, "Optimal time-vary flows on congested networks", Operations Research, Vol 35, pp.58-69
18. B. Wie and T.L. Fries, "Dynamic User Optimal Traffic Assignment on Congested Multi-destination Network", Transportation Research, Vol 24B, pp.431-442, 1990.