The continuous dynamic network loading problem: A mathematical formulation and solution method

Transportation Research Part B: Methodological

Volumn 32, Issue 3, 1998, Pages 173-187

  Wu, J H ^a   Chen, Y ^a   Florian, M ^a  

^a UNIVERSITÉ DE MONTRÉAL   (Canada)

Author keywords

Continuous dynamic network loading; Functional equations; Optimization problem; Temporal or dynamic traffic assignment

Indexed keywords

MODELLING APPROACH; ROAD TRANSPORT; TRAFFIC FLOW;

APPROXIMATION THEORY; CALCULATIONS; OPTIMIZATION; PROBLEM SOLVING;

CONTINUOUS DYNAMIC NETWORK LOADING PROBLEM; DYNAMIC TRAFFIC ASSIGNMENT; FUNCTIONAL EQUATIONS;

TRAFFIC SURVEYS;

EID: 0031594067     PISSN: 01912615     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0191-2615(97)00023-4     Document Type: Article

References (22)

1. Ben-Akiva, M., Cyna, M. and De Palma, A. (1984) Dynamic model of peak period congestion. Transportation Research 18B, 339-355.
2. Ben-Akiva, M., Cyna, M. and Kanaraglou, P. (1986) Dynamic model of peak period traffic congestion with elastic arrival rates. Transportation Science 20, 164-181.
3. Bernstein, D., Friesz, T., Tobin, R., Shenoi, R. and Wei, B-W. (1992) Solving a variational inequality formulation of the simultaneous route and departure-time choice equilibrium problem. Presented at The 39th North American Meeting of the RSAI.
4. Bernstein, D., Friesz, T., Tobin, R., and Wei, B-W. (1993) A variational control formulation of the simultaneous route and departure-time choice equilibrium problem. Transportation and Traffic Theory, ed. C. F. Daganzo. Elsevier Science, B.V., Amsterdam.
5. Brooke, A., Kendrick, D., Meeraus, A. (1992) GAMS. The Scientific Press, South San Francisco.
6. Cascetta, E. and Cantarella, G. E. (1991) A day-to-day and within-day dynamic stochastic assignment model. Transportation Research 25A, 277-291.
7. Cascetta, E. and Cantarella, G. E. (1993) Modeling dynamics in transportation networks: state of the art and future developments. Simulation Practice and Theory 1, 65-91.
8. Daganzo, C. F. (1995) Properties of link travel time functions under dynamic loads. Transportation Research 29B, 95-98.
9. Friesz, T. L., Bernstein, D., Smith, T. E., Tobin, R. L. and Wei, B. W. (1993) A variational inequality formulation of the dynamic network user equilibrium problem. Operations Research 41, 179-191.
10. Friesz, T. L., Bernstein, D., Mehta, J. T. E., Tobin, R. L. and Ganjalizadeh, S. (1994) Day to day dynamic network disequilibrium and idealized traveler information systems. Operations Research 42, 1120-1136.
11. Jayakrishnan, R., Mahmassani, H. S. and Hu, T. Y. (1994) An evaluation tool for advanced traffic information and management systems in urban networks. Transportation Research 3C, 129-147.
12. Kaufman, D. E. and Smith, R. L. (1993) Fastest paths in time-dependent networks for intelligent vehicle-highway systems application. IVHS Journal 1(1), 1-11.
13. Koutsopoulos, N. (1993) Commentary on fastest paths in time-dependent networks for intelligent vehicle-highway systems application. IVHS Journal 1(1), 89-91.
14. Merchant, D. K. and Nemhauser, G. L. (1978a) A model and an algorithm for the dynamic traffic assignment problem. Transportation Science 12, 183-199.
15. Merchant, D. K. and Nemhauser, G. L. (1978b) Optimality conditions for a dynamic traffic assignment model. Transportation Science 12, 200-207.
16. Ran, B, Boyce, D. E. and LeBlanc, L. J. (1993) A new class of instantaneous dynamic user-optimal traffic assignment models. Operations Research 41, 192-202.
17. Ran, B. and Boyce, D. E. (1994) Dynamic urban transportation network models: theory and implications for intelligent vehicle-highway system. Lecture Notes in Economics and Mathematical Systems. Springer-Verlag, Berlin.
18. Taylor, N. B. (1990) CONTRAM5: An Enhanced Traffic Assignment Model. Transportation Research Laboratory, Crowthorne, U.K.
19. Smith, M. J. and Wisten, M. B. (1994) Lyapunov methods for dynamic equilibrium traffic assignment. Proceedings of the Second Meeting of the EURO Working Group on Urban Traffic and Transportation, INRETS, Paris.
20. Wie, B. W., Tobin, R. L., Friesz, T. L. and Bernstein, D. (1995) A discrete time, nested cost operator approach to the dynamic network user equilibrium problem. Transportation Science 29(1), 79-92.
21. Wu, J. H. (1994) Dynamic network equilibrium problem formulated as an infinite variational inequality problem. Proceedings of the second meeting of the EURO Working Group on Urban Traffic and Transportation, INRETS, Paris.
22. Ziliaskopoulos, H. N. and Mahmassani, H. S. (1993) Commentary on fastest paths in time-dependent networks for intelligent vehicle-highway systems application. IVHS Journal 1(1), 91-93.