Modeling the evolutions of day-to-day route choice and year-to-year ATIS adoption with stochastic user equilibrium

Journal of Advanced Transportation

Volumn 42, Issue 2, 2008, Pages 111-127

  Huang, Hai Jun ^a   Liu, Tian Liang ^a   Yang, Hai ^b  

^a BEIHANG UNIVERSITY   (China)

^b HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

Author keywords

Advanced traveler information systems (ATIS); ATIS adoption; ATIS compliance rate; Route choice; Stochastic user equilibrium; System evolution

Indexed keywords

INFORMATION SYSTEMS; NUMERICAL METHODS; STOCHASTIC CONTROL SYSTEMS; UNCERTAINTY ANALYSIS;

ADVANCED TRAVELER INFORMATION SYSTEMS (ATIS); STOCHASTIC USER EQUILIBRIUM; SYSTEM EVOLUTION;

URBAN PLANNING;

EID: 38349127634     PISSN: 01976729     EISSN: None     Source Type: Journal    
DOI: 10.1002/atr.5670420202     Document Type: Article

References (20)

1. Banks, R.B., 1994. Growth and Diffusion Phenomena: Mathematical Frameworks and Applications. Springer, Berlin.
2. Cantarella, G.E., Cascetta, E., 1995. Dynamic processes and equilibrium in transportation networks: towards a unifying theory. Transpn. Sci. 29, 305-329.
3. Cascetta, E., 1989. A stochastic process approach to the analysis of temporal dynamics in transportation networks. Transpn. Res. B 23, 1-17.
4. Davis, G.A., Nihan, N.L., 1993. Large population approximations of a general stochastic traffic assignment model. Oper. Res. 41, 169-178.
5. Friesz, T.L., Bernstein, D., Mehta, N.J., Tobin R.L., Ganjalizadeh, 1994. Day-to-day dynamic network disequilibria and idealized traveler information systems. Oper. Res. 42, 1120-1136.
6. Friesz, T.L., Bernstein, D., Stough, R., 1996. Dynamic systems, variational inequalities and control theoretic models for predicting time-varying urban network flows. Transpn. Sci. 30, 14-31.
7. Jin, W.L., 2005a. The dynamic system of the traffic assignment problem: Part I. Theory. http://www.its.uci.edu/its/publications/papers/CTSS/UCI-ITS-TS- WP-05-01.pdf.
8. Jin, W.L., 2005b. The dynamic system of the traffic assignment problem: Part II. Computation, http://www.its.uci.edu/its/publications/papers/CTSS/UCI- ITS-TS-WP-05-02.pdf.
9. Jin, W.L., 2005c. The dynamic system of the traffic assignment problem: Part III. Incorporating traffic dynamics, http://www.its.uci.edu/its/ publications/papers/CTSS/UCI-ITS-TS-WP-05-03.pdf.
10. Horowitz, J.L., 1984. The stability of stochastic equilibrium in a two link transportation network. Transpn. Res. B 18, 13-28.
11. Nagurney, A., Zhang, D., 1997. Projected dynamical systems in the formulation, stability analysis, and computation of fixed-demand traffic network equilibria. Transpn. Sci. 31, 147-158.
12. Smith, M.J., 1984. The stability of a dynamic model of traffic assignment: An application of a method of Lyapunov. Transn. Sci. 18, 245-252.
13. Watling, D., 1999. Stability of the stochastic equilibrium assignment problem: A dynamical systems approach. Transpn. Res. B 33, 281-312.
14. Yang, F., Liu, H.X., Ran, B., Yi, P., 2005. An evolutionary game theory approach to the continuous-time day-to-day traffic dynamics. Presented at TRB Annual Meeting.
15. Yang, H., 1998. Multiple equilibrium behavior and advanced traveler information systems with endogenous market penetration. Transpn. Res. B 32, 205-218.
16. Yang, H., Huang, H.J., 2004. Modeling user adoption of advanced traveler information systems: A control theoretical approach for optimal endogenous growth. Transpn. Res. C 12, 93-207.
17. Yang, H., Kitamura, R., Jovanis, P., Vaughn, K.M. and Abdel-Aty, M.A., 1993. Exploration of route choice behavior with advanced travel information using neural network concept. Transportation 20, 199-223.
18. Yang, H., Meng, Q., 2001. Modeling user adoption of advanced traveler information systems: dynamic evolution and stationary equilibrium. Transpn. Res. A 35, 895-912.
19. Yin Y., Yang H., 2003. Simultaneous determination of the equilibrium market penetration and compliance rate of advanced traveler information systems. Transpn. Res. A 37, 165-181.
20. Zhang D., Nagurney A., 1996. On the local and global stability of a travel route choice adjustment process. Transpn. Res. B 30, 245-262.