Network equilibrium with combined modes: Models and solution algorithms

Transportation Research Part B: Methodological

Volumn 39, Issue 3, 2005, Pages 223-254

  García, Ricardo ^a   Marín, Angel ^b  

^a UNIVERSITY OF CASTILLA LA MANCHA   (Spain)

^b UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

Author keywords

Multi modal network equilibrium models with combined modes; Simplicial decomposition; Urban transport management; Variational inequalities

Indexed keywords

ALGORITHMS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; PROBLEM SOLVING;

GENERIC PASSENGER ASSIGNMENT EQUILIBRIUM MODEL; HYPERPATH FLOWS; NESTED LOGIT DISTRIBUTION; NETWORK EQUILIBRIUM;

HIGHWAY TRAFFIC CONTROL;

MODELING; PLANNING METHOD; TRAFFIC MANAGEMENT; TRANSPORTATION PLANNING;

EID: 11244317438     PISSN: 01912615     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.trb.2003.05.002     Document Type: Article

References (42)

1. Ben-Akiva M.E. Bowman J.L. Activity based travel demand model systems In: Marcotte P. Nguyen S. (Eds.) Advanced Transportation Modelling 1998 27-46 Kluwer Academic Publishers Massachusetts
2. Bertsekas D.P. Gafni E. Projections methods for variational inequalities with applications to the traffic assignment problem Mathematical Programming Study 17 1982 139-159
3. Bifulco G.N. A stochastic user equilibrium assignment model for la evaluation of parking policies European Journal of Operational Research 71 1993 269-287
4. Bouzäene-Ayari B. Gendreau M. Nguyen A. Passenger assignment in congested transit networks: A historical perspective In: Marcotte P. Nguyen S. (Eds.) Advanced Transportation Modelling 1998 47-71 Kluwer Academic Publishers Massachusetts
5. Boyce D.E. Urban transportation network-equilibrium and design models: Recent achievements and future prospects Environment and Planning A 16 1984 1445-1474
6. Cantarella G.E. A general fixed-point approach to multimode multi-user equilibrium assignment with elastic demand Transportation Science 31 1997 107-128
7. Castillo E. Conejo A. Pedregal P. Garća R. Alguacil N. Building and Solving Mathematical Programming Models in Engineering and Science Pure and Applied Series (PAMS) 2002 John Wiley - Sons New York
8. Cea J.D. Fernández E. Transit assignment for congested public transport systems: An equilibrium model Transportation Science 27 1993 133-147
9. Erlander S. Accessibility, entropy and the distribution and assignment of traffic Transportation Research 11 1977 149-153
10. Evans S.P. Derivation and analysis of some models for combining trip distribution and assignment Transportation Research 10 1976 37-57
11. Fernández E. Friesz T.L. Equilibrium predictions in transportations markets: The state of the art Transportation Research 17 1983 155-172
12. Fernández E. Cea J.D. Florian M. Cabrera E. Network equilibrium models with combined modes Transportation Science 28 1994 182-192
13. Ferrari P. A model of urban transport management Transportation Research B 33 1999 43-61
14. Florian M. A traffic equilibrium model of travel by car and public transit modes Transportation Science 11 1977 166-179
15. Florian M. Los H. Determining intermediate origin-destination matrices for the analysis of composite mode trips Transportation Research B 13 1978 91-103
16. Florian M. Spiess H. On binary mode choice/assignment models Transportation Science 17 1983 32-47
17. Florian M. Nguyen S. Ferland On the combined distribution-assignment of traffic Transportation Science 9 1977 43-53
18. García R. 2001. Metodoloǵa para el diseño de redes de transporte y para la elaboración de algoritmos en programación matemática convexa diferenciable. Ph.D. Thesis, Escuela Técnica Superior de Ingenieros Aeronaúticos, Universidad Politécnica de Madrid
19. García R. Marín A. Urban multimodal interchange design methodology In: Pursula M. Niittymäki J. (Eds.) Mathematical Methods on Optimization in Transportation Systems Applied Optimization vol. 48 2001 49-79 Kluwer Academic Publishers Dordrecht
20. García R. Marín A. Parking capacity and pricing in park'n ride trips: A continuous equilibrium network design problem Annals of Operations Research 116 2002 153-178
21. García R. Marín A. Patriksson M. Column generation algorithms for nonlinear optimization, I: Convergence analysis Optimization 52 2 2003 171-200
22. Garća R. Maŕn A. Patriksson M. submitted for publication. Column generation algorithms for nonlinear optimization, II: Experimental study
23. Hearn D.W. Lawphongpanich S. Ventura J.A. Restricted simplicial decomposition: Computation and extensions Mathematical Programming Study 31 1987 99-118
24. Hunt J.D. Teply S. A nested logit model of parking location choice Transportation Research B 127 1993 253-265
25. Lam W.H.K. Huang H.-J. A combined trip distribution and assignment model for multiple user classes Transportation Research 26 1992 275-282
26. Larsson T. Patriksson M. Simplicial decomposition with disaggregated representation for the traffic assignment problem Transportation Science 26 1992 4-17
27. Larsson T. Patriksson M. Rydergren C. Applications of simplicial decomposition with nonlinear column generation to nonlinear network flows In: Pardalos P.M. Hager W.W. Hearn D.W. (Eds.) Network Optimization In: Lecture Notes in Economics and Mathematical Systems No. 450 1997 346-373 Springer-Verlag Berlin
28. Lawphongpanich S. Hearn D.W. Simplicial decomposition of the asymmetric traffic problem Transportation Research B 18 1984 123-133
29. LeBlanc L.J. Farhangiam K. Efficient algorithms for solving elastic demand traffic assignment problems and mode split-assignment problems Transportation Science 15 1981 306-317
30. Ludgren J.T. Patriksson M. 1997. An algorithm for the combined distribution and assignment model. Technical report, Department of Mathematics, Linköping Institute of Technology, Linkoping Institute of Technology, Linköping, Sweden
31. Marcotte P. Guélat J. Adaptation of a modified Newton method for solving the asymmetric traffic equilibrium problem Transportation Science 22 1988 112-124
32. Montero L. Barceló J. A simplicial decomposition algorithm for solving the variational inequality formulation of the general traffic assignment problem TOP, Journey of the Spanish Statistical and Operation Research Society 4 1996 225-256
33. Nagurney A.B. Comparative tests of multimodal traffic equilibrium methods Transportation Research B 18 1984 469-485
34. Nguyen S. Pallotino S. Equilibrium traffic assignment for large scale transit network European Journal of Operational Research 37 1988 176-186
35. Pang J.S. Yu C.S. Linearized simplicial decomposition methods for computing traffic equilibria on networks Networks 14 1984 427-432
36. Patriksson M. Traffic Assignment Problem. Models and Methods 1994 VSP Utrecht, The Netherlands
37. Patriksson M. Nonlinear Programming and Variational Inequality Problems. A Unified Approach 1999 Kluwer Academic Publishers Dordrecht
38. Spiess H. Florian M. Optimal strategies: A new assignment model for transit networks Transportation Research B 23 1989 83-102
39. Toint P. Wynter L. 1995. Asymmetric multiclass traffic assignment: a coherent formulation. In: Proceedings of International Symposium on Transportation and Traffic Theory
40. Wong S.C. Multicommodity traffic assignment by continuum approximation of network flow with variable demand Transportation Research B 32 8 1998 567-581
41. Wu J.H. Florian M. A simplicial decomposition method for the transit equilibrium assignment problem Annals of Operations Research 44 1993 245-260
42. Wu J.H. Florian M. Marcotte P. Transit equilibrium assignment: a model and solution algorithms Transportation Science 28 1994 193-203