A cell-based variational inequality formulation of the dynamic user optimal assignment problem

Transportation Research Part B: Methodological

Volumn 36, Issue 5, 2002, Pages 421-443

  Lo, Hong K ^a   Szeto, W Y ^a  

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

Author keywords

Dynamic traffic assignment; Variational inequality

Indexed keywords

DYNAMIC PROGRAMMING; OPTIMAL CONTROL SYSTEMS; SHOCK WAVES;

INEQUALITY FORMULATION;

TRANSPORTATION;

METHODOLOGY; PLANNING METHOD; TRAFFIC MANAGEMENT; TRANSPORTATION PLANNING;

EID: 0036604989     PISSN: 01912615     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0191-2615(01)00011-X     Document Type: Article

References (40)

1. Projection method for variational inequalities with applications to the traffic assignment problem
2. Auxiliary problem principle extended to variational inequalities
3. Traffic equilibrium and variational inequalities
4. The cell transmission model: A simple dynamic representation of highway traffic
5. The cell transmission model part II: Network traffic
6. Properties of link travel time functions under dynamic loads
7. Network equilibrium models and algorithms
8. A variational inequality formulation of the dynamic network user equilibrium problem
9. Applications of the method of multipliers to variational inequalities
10. A dual algorithm for the solution of nonlinear variational problems via finite element approximations
11. A new alternating direction method for a class of nonlinear variational inequality problems
12. A modified alternating direction method for convex minimization problems
13. Dynamic traffic assignment with arrival time costs
14. A dynamic traffic assignment model with traffic flow relationship
15. On kinematic waves. I. Flow movement in long rivers. II. A theory of traffic flow on long crowded road
16. Are the objectives and solutions of the dynamic user-equilibrium models always consistent?
17. A multi-class dynamic traffic assignment model: Formulation and computational experiences
18. A comparison of dynamic traffic models: Part I framework
19. A comparison of dynamic traffic models: Part II results
20. A novel traffic control formulation
21. A dynamic traffic assignment formulation that encapsulates the cell transmission model
22. A cell-based traffic control formulation: Strategies and benefits of dynamic plans
23. Reformulating the traffic equilibrium problem via a smooth gap function
24. A model and an algorithm for the dynamic traffic assignment problem
25. A simplified theory of kinematic waves
26. An efficient method for computing traffic equilibria in networks with asymmetric transportation costs
27. Modeling dynamic transportation networks
28. A formulation and solution algorithm for a multi-class dynamic traffic assignment problem
29. Shockwaves on the highway
30. A new dynamic traffic and the existence and calculation of dynamic user equilibria on congestion capacity-constrained road networks
31. Some theoretical aspects of road traffic research
32. Dynamic user optimal traffic assignment on congestion multidestination networks
33. A path-based traffic assignment algorithm using TRANSYT traffic model
34. A projection algorithm for the dynamic network equilibrium problem
35. Co-coercivity and its role in the convergence of iterative schemes for solving variational inequalities