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A mixed-integer linear programming model to optimize the vertical alignment considering blocks and side-slopes in road construction

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  • Hare, Warren
  • Lucet, Yves
  • Rahman, Faisal

Abstract

In the vertical alignment phase of road design, one minimizes the cost of moving material between different sections of the road while maintaining safety and building code constraints. Existing vertical alignment models consider neither the side-slopes of the road nor the natural blocks like rivers, mountains, etc., in the construction area. The calculated cost without the side-slopes can have significant errors (more than 20 percent), and the earthwork schedule without considering the blocks is unrealistic. In this study, we present a novel mixed integer linear programming model for the vertical alignment problem that considers both of these issues. The numerical results show that the approximation of the side-slopes can generate solutions within an acceptable error margin specified by the user without increasing the time complexity significantly.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:241:y:2015:i:3:p:631-641
    DOI: 10.1016/j.ejor.2014.08.035
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    References listed on IDEAS

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    1. Hare, Warren L. & Koch, Valentin R. & Lucet, Yves, 2011. "Models and algorithms to improve earthwork operations in road design using mixed integer linear programming," European Journal of Operational Research, Elsevier, vol. 215(2), pages 470-480, December.
    2. Burdett, R.L. & Kozan, E., 2014. "An integrated approach for earthwork allocation, sequencing and routing," European Journal of Operational Research, Elsevier, vol. 238(3), pages 741-759.
    3. Burdett, R.L. & Kozan, E., 2010. "A disjunctive graph model and framework for constructing new train schedules," European Journal of Operational Research, Elsevier, vol. 200(1), pages 85-98, January.
    4. Avijit Maji & Manoj K. Jha, 2011. "Highway Alignment Optimization Using Cost-Benefit Analysis Under User Equilibrium," International Journal of Operations Research and Information Systems (IJORIS), IGI Global, vol. 2(4), pages 19-33, October.
    5. 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.
    6. Moreb, Ahmad A., 1996. "Linear programming model for finding optimal roadway grades that minimize earthwork cost," European Journal of Operational Research, Elsevier, vol. 93(1), pages 148-154, August.
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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.
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    3. Dominique Monnet & Warren Hare & Yves Lucet, 2022. "A successive relaxation algorithm to solve a MILP involving piecewise linear functions with application to road design," Computational Optimization and Applications, Springer, vol. 81(3), pages 741-767, April.
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    6. Salvatore Antonio Biancardo & Francesco Avella & Ernesto Di Lisa & Xinqiang Chen & Francesco Abbondati & Gianluca Dell’Acqua, 2021. "Multiobjective Railway Alignment Optimization Using Ballastless Track and Reduced Cross-Section in Tunnel," Sustainability, MDPI, vol. 13(19), pages 1-19, September.

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