A Study on Fitting Longitudinal Profiles of Railway Station Tracks

The accurate fitting of railway station track profiles is crucial for improving the quality of station-related engineering projects. However, in practice, there are still cases where straight lines are used to approximate vertical curve segments. To avoid the ‘straight-line approximation’ deviation...

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Main Authors: Junhao Zeng, Lianbo Deng, Wenqin Deng, Jinglan Jiang, Yuantian Huang
Format: Article
Language:English
Published: Wiley 2025-01-01
Series:Journal of Advanced Transportation
Online Access:http://dx.doi.org/10.1155/atr/5315645
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author Junhao Zeng
Lianbo Deng
Wenqin Deng
Jinglan Jiang
Yuantian Huang
author_facet Junhao Zeng
Lianbo Deng
Wenqin Deng
Jinglan Jiang
Yuantian Huang
author_sort Junhao Zeng
collection DOAJ
description The accurate fitting of railway station track profiles is crucial for improving the quality of station-related engineering projects. However, in practice, there are still cases where straight lines are used to approximate vertical curve segments. To avoid the ‘straight-line approximation’ deviation in the gradient value of the profile’s straight segments, this paper establishes a mathematical programming model with the objective of minimising the total amount of track raising and lowering. To satisfy the model constraints, an optimal vertical curve fitting algorithm, utilising a bisector vector approach to unambiguously resolve the conjugacy issue in analytical circular curve calculations, and a genetic algorithm based on neighbourhood search, specifically designed to fine-tune initial least squares gradient estimates and avoid systematic deviations, are proposed. Finally, the effectiveness of the proposed model and algorithm is validated through a case study. With a total grade value adjustment of only 0.45‰ based on the least squares method, the proposed fitting algorithm achieves a 38.7% reduction in track raising and lowering compared to manual fitting. This demonstrates the effectiveness of the proposed method in achieving the integrated optimisation of straight-line segments and vertical curve segments within the longitudinal profile. The implementation of this algorithm through programming can significantly enhance both the efficiency and quality of railway station track profile fitting.
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publishDate 2025-01-01
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spelling doaj-art-4525e0f2a99a4ab5b06d83bf3f9bba342025-08-20T03:13:59ZengWileyJournal of Advanced Transportation2042-31952025-01-01202510.1155/atr/5315645A Study on Fitting Longitudinal Profiles of Railway Station TracksJunhao Zeng0Lianbo Deng1Wenqin Deng2Jinglan Jiang3Yuantian Huang4School of Traffic and Transportation EngineeringSchool of Traffic and Transportation EngineeringTrading DepartmentDepartment of Safety ManagementDepartment of Safety ManagementThe accurate fitting of railway station track profiles is crucial for improving the quality of station-related engineering projects. However, in practice, there are still cases where straight lines are used to approximate vertical curve segments. To avoid the ‘straight-line approximation’ deviation in the gradient value of the profile’s straight segments, this paper establishes a mathematical programming model with the objective of minimising the total amount of track raising and lowering. To satisfy the model constraints, an optimal vertical curve fitting algorithm, utilising a bisector vector approach to unambiguously resolve the conjugacy issue in analytical circular curve calculations, and a genetic algorithm based on neighbourhood search, specifically designed to fine-tune initial least squares gradient estimates and avoid systematic deviations, are proposed. Finally, the effectiveness of the proposed model and algorithm is validated through a case study. With a total grade value adjustment of only 0.45‰ based on the least squares method, the proposed fitting algorithm achieves a 38.7% reduction in track raising and lowering compared to manual fitting. This demonstrates the effectiveness of the proposed method in achieving the integrated optimisation of straight-line segments and vertical curve segments within the longitudinal profile. The implementation of this algorithm through programming can significantly enhance both the efficiency and quality of railway station track profile fitting.http://dx.doi.org/10.1155/atr/5315645
spellingShingle Junhao Zeng
Lianbo Deng
Wenqin Deng
Jinglan Jiang
Yuantian Huang
A Study on Fitting Longitudinal Profiles of Railway Station Tracks
Journal of Advanced Transportation
title A Study on Fitting Longitudinal Profiles of Railway Station Tracks
title_full A Study on Fitting Longitudinal Profiles of Railway Station Tracks
title_fullStr A Study on Fitting Longitudinal Profiles of Railway Station Tracks
title_full_unstemmed A Study on Fitting Longitudinal Profiles of Railway Station Tracks
title_short A Study on Fitting Longitudinal Profiles of Railway Station Tracks
title_sort study on fitting longitudinal profiles of railway station tracks
url http://dx.doi.org/10.1155/atr/5315645
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