Behaviours in a dynamical model of traffic assignment with elastic demand

Chinese Physics

Volumn 16, Issue 6, 2007, Pages 1608-1614

  Xu, Meng ^a   Gao, Zi You ^a  

^a BEIJING JIAOTONG UNIVERSITY   (China)

Author keywords

Chaos; Discrete dynamical system; Network traffic flow; Traffic assignment problem

Indexed keywords

CHAOTIC SYSTEMS; MATHEMATICAL MODELS; ROUTING ALGORITHMS;

DISCRETE DYNAMICAL SYSTEM; NETWORK TRAFFIC FLOW; TRAFFIC ASSIGNMENT PROBLEM;

TELECOMMUNICATION TRAFFIC;

EID: 34250002034     PISSN: 10091963     EISSN: 17414199     Source Type: Journal    
DOI: 10.1088/1009-1963/16/6/020     Document Type: Article

References (27)

1. Bell G H and Lida Y 1997 Transportation Network Analysis (New York: Wiley)
2. Nagurney A and Zhang D 1996 Projected Dynamical Systems and Variational Inequalities with Applications (Boston: Kluwer)
3. Ortúzar J de D and Willumsen L G 2001 Modelling Transport (third edn) (New York: Wiley)
4. Patriksson M 1994 The Traffic Assignment Problem-Models and Methods (Utrecht: VSP)
5. Sheffi Y 1984 Urban Transportation Networks: Equilibrium Analysis with Mathematical Programming Methods (Englewood Cliffs, NJ: Prentice-Hall)
6. Nagurney A and Zhang D 1997 Trans. Sci. 31 147
7. Nair A S, Liu J, Rilett L and Gupta S 2001 IEEE Intel. Trans. Sys. Conf. Proc. Oakland p 681
8. Smith M J 1984 Trans. Sci. 18 245
9. Cascetta E 2001 Transportation Systems Engineering: Theory and Methods (Boston: Kluwer)
10. Li K P and Gao Z Y 2004 Mod. Phys. Lett. B 18 1395
11. Li K P, Gao Z Y and Chen T L 2003 Chin. Phys. 12 1213
12. Wang L, Wang B H and Hui P M 1997 Chin. Phys. 6 29
13. Wang T, Gao Z Y and Zhao X M 2006 Acta Phys. Sin. 55 634 (in Chinese)
14. Horowitz J L 1984 Trans. Res. Part B 18 13
15. Xu W, Jin YF, Li W and Ma S J 2005 Chin. Phys. 14 1077
16. Yang W S, Wang B H, He P, Wang W N, Quan H J and Xie Y B 2003 Chin. Phys. 12 931
17. Zhang X and Jarrett D F 1998 Chaos 8 503
18. Jin Y F, Xu W, Ma S J and Li W 2005 Acta Phys. Sin. 54 3480 (in Chinese)
19. Li K P and Gao Z Y 2005 Chin. Phys. 14 930
20. Luo X S, Wang B H, Jiang F and Gao Y 2001 Chin. Phys. 10 17
21. Dendrinos D S 1994 Chaos, Solitons & Fractals 4 605
22. Friesz T L, Bernstein D, Mehta N J, Tobin R L and Ganjalizadeh S 1994 Oper. Res. 42 1120
23. Zhang D and Nagurney A 1997 J. Opti. Theo. Appl. 93 417
24. Safanov L A, Tomer E, Strygin V V, Ashkenazy Y and Havlin S 2002 Euro-phys. Lett. 57 151
25. Van Z, Henk J, Marina S, Van G and Peter N 1999 Trans. Res. Rec. 1685 21
26. Weidlich W 2000 Socio Dynamics: A Systematic Approach to Mathematical Modeling in the Social Sciences (Amsterdam: Harwood Academic)
27. Wilson A G 1970 Entropy in Urban and Regional Modeling (London: Pion)