Housing allocation problem in a continuum transportation system

Transportmetrica

Volumn 3, Issue 1, 2007, Pages 21-39

  Ho, H W ^a   Wong, S C ^a  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Bi level programming; Continuum model; Finite element method; Housing allocation problem; Transportation system

Indexed keywords

EID: 38349047264     PISSN: 18128602     EISSN: None     Source Type: Journal    
DOI: 10.1080/18128600708685666     Document Type: Article

References (22)

1. Arnott, R. (1979) Optimal city size in a spatial economy. Journal of Urban Economics, 6, 65-89.
2. Blumenfeld, D.E. (1977) Modeling the joint distribution of home and workplace location in a city. Transportation Science, 11, 307-377.
3. Boyce, D. and Matsson, L.G. (1999) Modeling residential location choice in relation to housing location and road tolls on congested urban highway networks. Transportation Research Part B, 33, 581-591.
4. Cheung, Y.K., Lo, S.H. and Leung, A.Y.T. (1996) Finite Element Implementation. Blackwell Science, England.
5. Dixit, A. (1973) The optimum factory town. The Bell Journal of Economics and Management Science, 4, 637-651.
6. Gwinner, J. (1998) On continuum modeling of large dense networks in urban road traffic. In J.D. Griffiths (ed.) Mathematics in Transport Planning and Control: Proceedings of the Third IMA International Conference on Mathematics in Transport Planning and Control, Pergamon Publishing Company, New York, pp. 321-330.
7. Ho, H.W. and Wong, S.C. (2005a) A Levenberg-Marquardt iterative solver for least-squares problems. Communications in Numerical Methods in Engineering, 21, 327-335.
8. Ho, H.W. and Wong, S.C. (2005b) 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), Maryland, U.S.A., 17-21 July 2005, pp. 761-780.
9. 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.
10. 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
11. Kanemoto, Y. (1976) Optimum, market and second-best land use patterns in a von Thunen city with congestion. Regional Science and Urban Economics, 6, 23-32.
12. Mirrlees, J.A. (1972) The optimum town. Swedish Journal of Economics, 74, 229-254.
13. Sasaki, T., Iida, Y and Yang, H. (1990) User-equilibrium traffic assignment by continuum approximation of network flow. Proceedings of 11th International Symposium on Transportation and Traffic Theory, Yokohama, Japan, July 1990, pp. 233-252.
14. Sheffi, Y. (1985) Urban Transportation Networks: Equilibrium Analysis with Mathematical Programming Methods. Prentice-Hall, N.J.
15. Solow, R.M. (1972) Congestion density and the use of land in transportation. The Swedish Journal of Economics, 74, 161-173.
16. Solow, R.M. and Vickrey, W. (1971) Land use in a long narrow city. Journal of Economic Theory, 3, 430-447.
17. Taguchi, A and Iri, M. (1982) Continuum approximation to dense networks and its application to the analysis of urban road networks. Mathematical Programming Study, 20, 178-217.
18. Wong, S.C. (1998) Multi-commodity traffic assignment by continuum approximation of network flow with variable demand. Transportation Research Part B, 32, 567-581.
19. Wong, S.C., Lee, C.K. and Tong, C.O. (1998) Finite element solution for the continuum traffic equilibrium problems. International Journal for Numerical Method in Engineering, 43, 1253-1273.
20. Wong, S.C., Du, Y.C., Ho, H.W. and Sun, L.J. (2003) Simultaneous optimization formulation of a discrete-continuous transportation system. Transportation Research Record, 1857, 11-20.
21. Vaughan, R.J. (1987) Urban Spatial Traffic Patterns. Pion, London.
22. Zienkiewicz, O.C. and Taylor, R.L. (1989) The Finite Element Method. McGraw-Hill, International Editions.