Advances in the continuous dynamic network loading problem

Transportation Science

Volumn 33, Issue 4, 1999, Pages 341-353

  Xu, Y W ^a   Wu, J H ^a   Florian, M ^a   Marcotte, P ^a   Zhu, D L ^a  

^a UNIVERSITÉ DE MONTRÉAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; HIGHWAY ADMINISTRATION; HIGHWAY SYSTEMS; MATHEMATICAL MODELS; STRATEGIC PLANNING;

CONTINUOUS DYNAMIC LOADING PROBLEM;

HIGHWAY TRAFFIC CONTROL;

EID: 0033225939     PISSN: 00411655     EISSN: None     Source Type: Journal    
DOI: 10.1287/trsc.33.4.341     Document Type: Article

References (23)

1. V. ASTARITA, Flow Propagation Description in Dynamic Network Loading Models," in Proceedings of 4th International Conference on Application of Advanced Technologies in Transportation Engineering, 27-30, 1995.
2. V. ASTARITA, "A Continuous Time Link Model for Dynamic Network Loading Based on Travel Time Function," in 13th International Symposium on Transportation and Traffic Theory, Lyon, France, 79-102, 1996.
3. E. CASCETTA AND G. E. CANTARELLA, "A Day-to-Day and Within-Day Dynamic Stochastic Assignment Model," Transp. Res. A. 25A, 277-291 (1991).
4. C. F. DAGANZO, "The Cell Transmission Model I: A Dynamic Representation of Highway Traffic Consistent with the Hydrodynamic Theory," Transp. Res. B. 26B, 269-288 (1994).
5. C. F. DAGANZO, "A Finite Difference Approximation of the Kinematic Wave Model of Traffic Flow," Transp. Res. B. 29B, 269-288 (1995).
6. T. L. FRIESZ, J. LUQUE, R. L. TOBIN, AND B. W. WIE, "Dynamic Network Traffic Assignment Considered as a Continuous Time Optimal Control Problem," Opns. Res. 37, 893-901 (1989).
7. T. L. FRIESZ, D. BERNSTEIN, T. E. SMITH, R. L. TOBIN, AND B. W. WEI, "A Variational Inequality Formulation of the Dynamic Network User Equilibrium Problem," Opns. Res. 41, 179-191 (1993).
8. T. L. FRIESZ, D. BERNSTEIN, N. J. MEHTA, R. L. TOBIN, AND S. GANJALIZADEH, "Day to Day Dynamic Network Disequilibrium and Idealized Traveler Information Systems," Opns. Res. 42, 1120-1136 (1994).
9. B. G. HEYDECKER AND D. ADDISON, "An Exact Expression of Dynamic Equilibrium," 13th International Symposium on Transportation and Traffic Theory, 359-384, 1996.
10. R. JAYAKRISHNAN, H. S. MAHMASSANI, AND T. Y. HU, "An Evaluation Tool for Advanced Traffic Information and Management Systems in Urban Networks," Transp. Res. C. 3C, 129-147 (1994).
11. M. J. LIGHTHILL AND J. B. WHITHAM, "On Kinematic Waves: II. A Theory of Traffic Flow in Long Crowded Roads," Proceedings of the Royal Society 229A, 317-345 (1955).
12. A. NAGURNEY AND D. ZHANG, "Projected dynamical System in the Formulation, Stability Analysis, and Computation of Fixed Demand Traffic Network Equilibria." Transp. Sci., 31, 147-158 (1997).
13. B. RAN, D. E. BOYCE, AND L. J. LEBLANC, "A New Class of Instantaneous dynamic User-Optimal Traffic Assignment Models," Opns. Res. 41, 192-202 (1993).
14. R. RAN AND BOYCE, D. E., dynamic Urban Transportation Network Models: Theory and Implications for Intelligent Vehicle-Highway System, Lecture Notes in Economics and Mathematical Systems, Springer-Verlag, New York, 1994.
15. H. L. ROYDEN, Real Analysis (3rd ed., Collier-Macmillan Limited, London, 1988.
16. N. B. TAYLOR, CONTRAM5: An Enhanced Traffic Assignment Model, Transportation Research Laboratory, Crowthorne, 1990.
17. M. J. SMITH, "The Existence, Uniqueness and Stability of Traffic Equilibria," Transp. Res. B. 13B, 295-304 (1979).
18. M. J. SMITH, "A New dynamic Traffic Model and the Existence and Calculation of dynamic User Equilibria on Congested Capacity Constrained Road Network," Transp. Res. B. 27B, 49-63 (1993).
19. M. J. SMITH AND M. B. WISTEN, "Lyapunov Methods for dynamic Equilibrium Traffic Assignment," Proceedings of the 2nd Meeting of the EURO Working Group on Urban Traffic and Transportation. INRETS, Paris, 233-245, 1994.
20. J. H. WU, "Dynamic Network Equilibrium Problem Formulated as an Infinite Variational Inequality Problem," Proceedings of the 2nd Meeting of the EURO Working Group on Urban Traffic and Transportation. INRETS, Paris, 247-268, 1994.
21. J. H. WU, Y. CHAN, AND M. FLORIAN, "The Continuous dynamic Network Loading Problem: A Mathematical Formulation and Solution Method," Transp. Res. 32B, 173-187 (1998).ence LTD, Oxford, U.K. 51-66, 1998.
22. J. H. WU, M. FLORIAN, and R. M. RUBIO-ARDANAZ, "A Projection Algorithm for the Dynamic Network Equilibrium Problem," in Proceedings of 1998 International Conference on Traffic and Transportation Studies, Beijing, China. American Society of Civil Engineers, Reston, Va. 379-390, 1998.
23. Y. W. XU, J. H. WU, and M. FLORIAN, "An Efficient Algorithm for the Continuous Network Loading Problem: A DYNALOAD Implementation," in Transportation Networks: Recent Methodological Advances, Elsevier Sci