Automatic Design of the Horizontal Alignment of a Road Interchange: The Case of a Trumpet-Type
Publication: Journal of Surveying Engineering
Volume 149, Issue 2
Abstract
This paper investigated the automatic design of road interchanges in the framework of mathematical optimization. To introduce the approach, we focused on a trumpet-type interchange, and specifically on S-type and loop ramps. By analyzing all geometric elements, we propose a geometrical model that provides, from an appropriate decision vector, a complete parametrization of the ramps. We established safety and spatial constraints (including restrictions on passage through forbidden areas) and formulated a nonlinear optimization problem, the numerical solution of which gives the design of the interchange ramps. The goodness of the model and the accuracy of the method proposed for its numerical resolution was checked using an academic problem designed so that its solution can be analyzed easily. Finally, the practical usefulness of this methodology was shown in a real case study, redesigning an existing interchange on a Spanish highway.
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Data Availability Statement
All data that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This research was funded by the Ministerio de Ciencia e Innovación (Spain) Grant No. TED2021-129324B-I00, and by the collaboration agreement between Xunta de Galicia (Spain) and the Universidade de Santiago de Compostela (Spain) which regulates the Specialization Campus “Campus Terra.” The author is grateful to his colleagues from the Universidade de Santiago de Compostela (Spain), Gerardo Casal, Alberte Castro, Juan B. Ferreiro and Duarte Santamarina, for critical reading of the manuscript and helpful discussions of some geometric aspects.
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Information & Authors
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Published In
Journal of Surveying Engineering
Volume 149 • Issue 2 • May 2023
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Jul 31, 2022
Accepted: Jan 29, 2023
Published online: Mar 15, 2023
Published in print: May 1, 2023
Discussion open until: Aug 15, 2023
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