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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on mdpi.com as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 2005, 10(3), 341-350; https://doi.org/10.3390/mca10030341

Dynamic Optimization Algorithm for Vertical Alignment of Highways

1
Ege University, Department of Civil Engineering, 35100, Bornova, Izmir, Turkey
2
Istanbul Technical University, Department of Civil Engineering, 34469, Ayazaga, Istanbul, Turkey
*
Author to whom correspondence should be addressed.
Published: 1 December 2005
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Abstract

In all design criteria, earthwork optimization is essential for the determination of optimal vertical alignment of a highway project. Actually, there can be numerous grade line alternatives for given ground elevations; thus, the objective is to find out the optimal vertical alignment causing the minimum cost considering several design constraints. Basically, this is a constrained nonlinear optimization problem, which can be solved by a multistage optimization technique. This article introduces a methodology for the vertical alignment optimization of a highway using dynamic programming approach. Results indicated that the introduced algorithm can be used successfully in the optimization of vertical highway alignment.
Keywords: vertical alignment; earthwork; least-square; dynamic programming vertical alignment; earthwork; least-square; dynamic programming
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).
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Goktepe, A.B.; Lav, A.H.; Altun, S. Dynamic Optimization Algorithm for Vertical Alignment of Highways. Math. Comput. Appl. 2005, 10, 341-350.

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