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Discrete and continuous models for computation of optimal vertical highway alignment

Author

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  • Goh, C. J.
  • Chew, E. P.
  • Fwa, T. F.

Abstract

This paper describes a dynamic programming model and a state parametrization model formulated to solve two-dimensional highway location problems. A numerical example is presented to compare the solutions obtained using the two models. Features of the two approaches, with respect to their applicability in solving three-dimensional highway location problems in particular, are highlighted. This study forms the basis of a three-dimensional model that computes optimal horizontal and vertical alignments simultaneously.

Suggested Citation

  • Goh, C. J. & Chew, E. P. & Fwa, T. F., 1988. "Discrete and continuous models for computation of optimal vertical highway alignment," Transportation Research Part B: Methodological, Elsevier, vol. 22(6), pages 399-409, December.
    • Handle: RePEc:eee:transb:v:22:y:1988:i:6:p:399-409
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    Cited by:

    1. Dominique Monnet & Warren Hare & Yves Lucet, 2020. "Fast feasibility check of the multi-material vertical alignment problem in road design," Computational Optimization and Applications, Springer, vol. 75(2), pages 515-536, March.
    2. Lee, Yusin & Cheng, Juey-Fu, 2001. "A model for calculating optimal vertical alignments of interchanges," Transportation Research Part B: Methodological, Elsevier, vol. 35(5), pages 423-445, June.
    3. Hare, Warren & Lucet, Yves & Rahman, Faisal, 2015. "A mixed-integer linear programming model to optimize the vertical alignment considering blocks and side-slopes in road construction," European Journal of Operational Research, Elsevier, vol. 241(3), pages 631-641.
    4. Kim, Eungcheol & Jha, Manoj K. & Son, Bongsoo, 2005. "Improving the computational efficiency of highway alignment optimization models through a stepwise genetic algorithms approach," Transportation Research Part B: Methodological, Elsevier, vol. 39(4), pages 339-360, May.
    5. Jong, Jyh-Cherng & Schonfeld, Paul, 2003. "An evolutionary model for simultaneously optimizing three-dimensional highway alignments," Transportation Research Part B: Methodological, Elsevier, vol. 37(2), pages 107-128, February.

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