A mathematical model and descent algorithm for bilevel traffic management

Transportation Science

Volumn 36, Issue 3, 2002, Pages 271-291

  Patriksson, Michael ^a   Rockafellar, R Tyrrell ^a  

^a CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; MATHEMATICAL MODELS; PARAMETER ESTIMATION; TRAFFIC SIGNALS;

BILEVEL TRAFFIC MANAGEMENT;

TRAFFIC CONTROL;

EID: 0036687653     PISSN: 00411655     EISSN: None     Source Type: Journal    
DOI: 10.1287/trsc.36.3.271.7826     Document Type: Article

References (64)

1. Decomposition of path choice entropy in general transport networks
2. An explicit solution to the multi-level programming problem
3. Congestion toll pricing of traffic networks
4. Optimization of upper semidifferentiable functions
5. Methods for equilibrium network traffic signal setting
6. A reduction method for local sensitivity analyses of network equilibrium arc flows
7. Optimal resource allocation and toll patterns in user-optimised transport networks
8. Exact local solution of the continuous network design problem via stochastic user equilibrium assignment
9. A bundle algorithm applied to bilevel programming problems with non-unique lower level solutions
10. On an algorithm solving two-level programming problems with nontmique lower level solutions
11. Capacity constraints in urban transport networks
12. Projected gradient methods for nonlinear complementarity problems via normal maps
13. Some developments in equilibrium traffic assignment
14. Sensitivity analysis based heuristic algorithms for mathematical programs with variational inequality constraints
15. A class of non-monotone stabilization methods in unconstrained optimization
16. Some consequences of detailed junction modeling in road traffic assignment
17. Restricted step and Levenberg-Marquardt techniques in proximal bundle methods for nonconvex nondifferentiable optimization
18. Simplicial decomposition with disaggregated representation for the traffic assignment problem
19. Equilibrium characterizations of solutions to side constrained asymmetric traffic assignment models
20. An augmented Lagrangean dual algorithm for link capacity side constrained traffic assignment problems
21. Side constrained traffic equilibrium models-Traffic management through link tolls
22. Side constrained traffic equilibrium models: Analysis, computation and applications
23. Continuous equilibrium network design models
24. Least-norm regularization for weak two-level optimization problems
25. Weak via strong Stackelberg problems: New results
26. Comparing nonsmooth nonconvex bundle methods in solving hemivariational inequalities
27. Network design problem with congestion effects: A case of bilevel programming
28. Bilevel programming in traffic planning: Models, methods and challenge
29. An algorithm for traffic assignment on capacity constrained transportation networks with queues
30. A theorem on monotone sets in Hitbert spaces
31. On a special class of mathematical programs with equilibrium constraints
32. A numerical approach to optimization problems with variational inequality Constraints
33. Nonsmooth equations: Motivations and algorithms
34. Piecewise smoothness, local invertibility, and parametric analysis of normal maps
35. Minimization of locally Lipschitz functions
36. Sensitivity analysis of traffic equilibria
37. Sensitivity analysis of variational inequalities over aggregated polyhedra, with application to traffic equilibria
38. Convergence analysis of some algorithms for solving nonsmooth equations
39. A nonsmooth version of Newton's method
40. Sensitivity analysis for variational inequalities defined on polyhedral sets
41. Strongly regular generalized equations
42. Normal maps induced by linear transformations
43. Variational Analysis
44. Mathematical programs with complementarity constraints: Stationarity, optimality and sensitivity
45. A version of the bundle idea for minimizing a nonsmooth function: Conceptual idea, convergence analysis, numerical results
46. Traffic equilibrium with responsive traffic control
47. Sensitivity analysis for equilibrium network flow
48. Asymmetric multiclass traffic assignment: A coherent formulation
49. Some theoretical aspects of road traffic research
50. Optimal road tolls under conditions of queueing and congestion
51. Lipschitz continuity of solutions of variational inequalities with a parametric polyhedral constraint
52. Problems of hierarchical optimization in finite dimension