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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 as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 2005, 10(3), 341-350;

Dynamic Optimization Algorithm for Vertical Alignment of Highways

Ege University, Department of Civil Engineering, 35100, Bornova, Izmir, Turkey
Istanbul Technical University, Department of Civil Engineering, 34469, Ayazaga, Istanbul, Turkey
Author to whom correspondence should be addressed.
Published: 1 December 2005
PDF [194 KB, uploaded 1 April 2016]


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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