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UBC Theses and Dissertations
Simultaneous optimization of vertical and horizontal road alignments Hirpa, Dessalegn Amenu
Abstract
Optimization of three-dimensional road alignments is recognized as a nonlinear and nonconvex optimization problem. The development of models that fully optimize a three-dimensional road alignment problem is not yet successful, because there are many factors involved and complexities in the geometric specification of the alignment. At present, there are two optimization approaches, the models that simultaneously optimize horizontal and vertical alignments, and those employing two or more stages of optimization processes. In this thesis, we develop a novel approach of solving a three dimensional road alignment problem where the optimal horizontal and vertical alignments are determined simultaneously. We develop the surrogate cost model that approximate the earthwork cost and the pavement cost. The problem is modelled as a multiobjective optimization where the cost due to the length of the road, and the cost due to the volume of earthwork are found to be conflicting objectives. In order to study the proposed model, two case studies are tested and the numerical results are provided. The experimental results indicate that the problem is nonconvex, and that it is, indeed, a multiobjective optimization problem. Further developments and improvements in the area of cost penalty parameters are recommended for future work.
Item Metadata
Title |
Simultaneous optimization of vertical and horizontal road alignments
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
2014
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Description |
Optimization of three-dimensional road alignments is recognized as a nonlinear and nonconvex optimization problem. The development of models that fully optimize a three-dimensional road alignment problem is not yet successful,
because there are many factors involved and complexities in
the geometric specification of the alignment. At present, there are two optimization approaches, the models that simultaneously optimize horizontal
and vertical alignments, and those employing two or more stages of optimization processes.
In this thesis, we develop a novel approach of solving a three dimensional
road alignment problem where the optimal horizontal and vertical alignments are determined simultaneously. We develop the surrogate cost model
that approximate the earthwork cost and the pavement cost. The problem is modelled as a multiobjective optimization where the cost due to the length of the road, and the cost due to the volume of earthwork are found to be conflicting objectives. In order
to study the proposed model, two case studies are tested
and the numerical results are provided. The experimental results indicate
that the problem is nonconvex, and that it is, indeed, a multiobjective optimization problem. Further developments and improvements in the area of cost penalty parameters are recommended for future work.
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Genre | |
Type | |
Language |
eng
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Date Available |
2015-01-31
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivs 2.5 Canada
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DOI |
10.14288/1.0074354
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URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Graduation Date |
2014-09
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Campus | |
Scholarly Level |
Graduate
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Rights URI | |
Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivs 2.5 Canada