Optimal Transport Theory for Railway Track Safety Applications

Nii Attoh-Okine
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Abstract

Optimal mass transport (OMT) is an optimization problem that determines a method of moving mass or value from one function to another in the most efficiently and optimally. Using the ideas of OMT, this technical note aims to formulate and solve an OMT model for railway track safety. The inputs for the analysis include: (a) geometry data, (b) rail defect, (c) subsurface condition, and (d) tonnage. The technical note only presents the steps in achieving a complete OMT analysis. Therefore, the idea of the note is to serve as an illustration of the effectiveness of OMT in railway engineering applications.
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铁路轨道安全应用的优化运输理论
最佳质量运输(OMT)是一个优化问题,它决定了一种最有效、最优化地将质量或价值从一个函数移动到另一个函数的方法。本技术说明采用 OMT 的思想,旨在制定和解决铁路轨道安全的 OMT 模型。分析输入包括(a) 几何数据,(b) 轨道缺陷,(c) 地下状况,以及 (d) 吨位。本技术说明仅介绍了实现完整 OMT 分析的步骤。因此,本说明的目的是说明 OMT 在铁路工程应用中的有效性。
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