OPTIMAL CONTROL AND DIFFERENTIAL GEOMETRY APPROACHES TO HIGHWAY VERTICAL CURVE DESIGN USING ARTIFICIAL INTELLIGENCE TECHNIQUES
DOI:
https://doi.org/10.30888/2663-5712.2024-28-00-041Keywords:
highway, design, vertical curves, Pontryagin’s Maximum Principle, optimal control theory, differential geometry, deep learning, artificial intelligence.Abstract
The design of highway vertical curves is a complex optimization problem that must balance safety, comfort, construction cost, and environmental impact. Traditional design methods often rely on simplified models and heuristics, potentially overlooking optiMetrics
References
American Association of State Highway and Transportation Officials. A Policy on Geometric Design of Highways and Streets. 7th ed., AASHTO, 2018, p. 1048 /
Transportation Research Board. Highway Capacity Manual. 6th ed., TRB, 2016 / URL: https://www.trb.org/Main/Blurbs/175169.aspx
Pontryagin, L. S., et al. The Mathematical Theory of Optimal Processes. Interscience Publishers, 1962 / ISBN 10 : 0470693819 / ISBN 13 : 9780470693810 /
https://api.pageplace.de/preview/DT0400.9781351433075_A37629368/preview-9781351433075_A37629368.pdf
Bryson, A. E., Ho, Y.-C. Applied Optimal Control: Optimization, Estimation, and Control. Taylor & Francis, 1975 / URL: https://www.taylorfrancis.com/books/mono/10.1201/9781315137667/applied-optimal-control-bryson
Goodfellow, I., Bengio, Y., Courville, A. Deep Learning. MIT Press, 2016 / URL: https://mitpress.mit.edu/9780262035613/deep-learning/
Boyd, S., Vandenberghe, L. Convex Optimization. Cambridge University Press, 2004, p. 714 / URL: https://web.stanford.edu/~boyd/cvxbook/bv_cvxbook.pdf
Evans, L. C. Partial Differential Equations. American Mathematical Society, 2010 / URL: http://dx.doi.org/10.1090/gsm/019
Andrii Balashov / Attention-integrated convolutional neural networks for enhanced image classification: a comprehensive theoretical and empirical analysis / International periodic scientific journal "Modern engineering and innovative technologies" ISSN 2567-5273, Issue №35, Part 2, October 2024, Karlsruhe, Germany, р. 18-27. DOI: 10.30890/2567-5273.2024-35-00-030 /
http:// www.moderntechno.de/index.php/meit/article/view/meit35-00-030.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Authors
This work is licensed under a Creative Commons Attribution 4.0 International License.
