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An alternative formulation of D'Este's trip assignment model

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  • Wong, S. C.

Abstract

An alternative formulation of D'Este's trip assignment model is given as a minimization problem of an objective functional. The equivalence to the origin formulation and uniqueness of the solution are proved. The minimization problem is first discretized by means of power series expansion, and then the Newtonian algorithm is employed to solve for the unknown coefficients of the series. An example is given to illustrate the effectiveness of the proposed method.

Suggested Citation

  • Wong, S. C., 1994. "An alternative formulation of D'Este's trip assignment model," Transportation Research Part B: Methodological, Elsevier, vol. 28(3), pages 187-196, June.
    • Handle: RePEc:eee:transb:v:28:y:1994:i:3:p:187-196
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    Cited by:

    1. Huang, Ling & Wong, S.C. & Zhang, Mengping & Shu, Chi-Wang & Lam, William H.K., 2009. "Revisiting Hughes' dynamic continuum model for pedestrian flow and the development of an efficient solution algorithm," Transportation Research Part B: Methodological, Elsevier, vol. 43(1), pages 127-141, January.
    2. Ho, H.W. & Wong, S.C. & Loo, Becky P.Y., 2006. "Combined distribution and assignment model for a continuum traffic equilibrium problem with multiple user classes," Transportation Research Part B: Methodological, Elsevier, vol. 40(8), pages 633-650, September.
    3. Li, Zhi-Chun & Chen, Ya-Juan & Wang, Ya-Dong & Lam, William H.K. & Wong, S.C., 2013. "Optimal density of radial major roads in a two-dimensional monocentric city with endogenous residential distribution and housing prices," Regional Science and Urban Economics, Elsevier, vol. 43(6), pages 927-937.
    4. Jiang, Yanqun & Wong, S.C. & Ho, H.W. & Zhang, Peng & Liu, Ruxun & Sumalee, Agachai, 2011. "A dynamic traffic assignment model for a continuum transportation system," Transportation Research Part B: Methodological, Elsevier, vol. 45(2), pages 343-363, February.
    5. Ross, Stephen L. & Yinger, John, 2000. "Timing Equilibria in an Urban Model with Congestion," Journal of Urban Economics, Elsevier, vol. 47(3), pages 390-413, May.
    6. Wong, S. C., 1998. "Multi-commodity traffic assignment by continuum approximation of network flow with variable demand," Transportation Research Part B: Methodological, Elsevier, vol. 32(8), pages 567-581, November.
    7. Li, Zhi-Chun & Wang, Ya-Dong, 2018. "Analysis of multimodal two-dimensional urban system equilibrium for cordon toll pricing and bus service design," Transportation Research Part B: Methodological, Elsevier, vol. 111(C), pages 244-265.

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