Existence and uniqueness of a solution for the multi-class user equilibrium problem in a continuum transportation system

Transportmetrica

Volumn 3, Issue 2, 2007, Pages 107-117

  Ho, H W ^a   Wong, S C ^a   Hau, Timothy D ^a  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Continuum transportation system; Existence; Multi class; Multi facility; Uniqueness; User equilibrium

Indexed keywords

EID: 49049107929     PISSN: 18128602     EISSN: None     Source Type: Journal    
DOI: 10.1080/18128600708685671     Document Type: Article

References (19)

1. Beckmann, M. (1952) A continuous model of transportation. Econometrica, 20, 643-660.
2. Dafermos, S.C. (1972) The traffic assignment problem for multiclass-user transportation networks. Transportation Science, 6, 73-87.
3. Douglas, J.F., Gasiorek, J.M. and Swaffield, J.A. (2001) Fluid Mechanics. Pearson Education Limited, England.
4. Hau, T.D. (2005a) Economic fundamentals of road pricing: a diagrammatic analysis, Part I - Fundamentals. Transportmetrica, 1, 81-117.
5. Hau, T.D. (2005b) Economic fundamentals of road pricing: a diagrammatic analysis, Part I - Relaxation of assumptions. Transportmetrica, 1, 119-149.
6. Hau, T.D. (2006a) Congestion charging mechanisms for roads, Part I - Conceptual framework. Transportmetrica, 2, 87-116.
7. Hau, T.D. (2006b) Congestion charging mechanisms for roads, Part I - Case studies. Transportmetrica, 2, 117-152.
8. Ho, H.W. and Wong, S.C. (2005) A combined model of housing location and traffic equilibrium problems in a continuous transportation system. Proceedings of the Sixteen International Symposium on Transportation and Traffic Theory (ISTTT16) held in Maryland, U.S.A., 17-21 July 2005, pp. 761-780.
9. Ho, H.W. and Wong, S.C. (2007) Housing allocation problem in a continuum transportation system. Transportmetrica, 3, 21-39.
10. Ho, H.W., Wong, S.C., Yang, H. and Loo, B.P.Y. (2005) Cordon-based congestion pricing in a continuum traffic equilibrium system. Transportation Research Part A, 39, 813-834.
11. Ho H.W., Wong, S.C. and Loo, B.P.Y. (2006) Combined distribution and assignment model for a continuum traffic equilibrium problem with multiple user classes. Transportation Research Part B, 40, 633-650.
12. Lam, W.H.K. and Huang, H.J. (1992) A combined trip distribution and assignment model for multiple user classes. Transportation Research Part B, 26, 275-287.
13. Loo, B.P.Y., Ho, H.W. and Wong, S.C. (2005) An application of the continuous equilibrium modelling approach in understanding the geography of air passenger flows in a multi-airport region. Applied Geography, 25, 169-199.
14. Lowe, H.C. (1979) Fluid Mechanics: Theory, Worked Examples & Problems. The Macmillan Press LTD, London and Basingstoke.
15. Vliet D. V., Bergman T. and Scheltes, W. H. (1986) Equilibrium traffic assignment with multiple user classes. PTRC Summer Annual Meeting, July 14-17, England, pp. 111-121.
16. Wong, S.C. and Sun, S.H. (2001) A combined distribution and assignment model for continuous facility location problem. The Annals of Regional Science, 35, 267-281.
17. Wong, K.I., Wong, S.C., Wu, J.H., Yang, H. and Lam, W.H.K. (2003) A combined distribution, hierarchical mode choice, and assignment network model with multiple user and mode classes. In D.H. Lee (ed.) Urban and Regional Transportation Modeling: Essays in Honor of David Boyce. Edward Elgar Publishing Inc., Northampton, U.S.A.
18. Wu, J.H., Florian, M. and He S. (2006) An algorithm for multi-class network equilibrium problem in PCE of trucks: application to the SCAG travel demand model. Transportmetrica, 2, 1-9.
19. Yang, H. (1996) A spatial price equilibrium model with congestion effects. The Annals of Regional Science, 30, 359-371.