Application of the Machine Learning Method to Determine Spring Load Limits and Winter Weight Premium

Yunyan Huang, Taher Baghaee Moghaddam, Leila Hashemian, Alireza Bayat
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Abstract

Freight transportation plays a crucial role in sustaining the Canadian economy. However, heavy truck transportation also puts enormous pressure on roadway networks. Spring Load Restrictions (SLR) are implemented to minimize road damage caused by heavy traffic during the thaw-weakening season, and Winter Weight Premium (WWP) is used to reduce the impact of SLR on trucking operations by allowing higher axle loads in winter. However, existing policies apply fixed dates each year for these restrictions, regardless of the actual structural capacity of the pavement. Different methods have been proposed to improve the application of SLR and WWP; however, they rely mainly on indirect indices, such as the cumulative thawing index and cumulative freezing index, which pose challenges in their calculation. This study explores the practical implementation of machine learning models for accurately determining the start and end dates of SLR and WWP. In a novel approach, machine learning models directly derive the start and end dates of SLR and WWP from frost and thaw depths in the pavement structure which are determined by pavement temperature and moisture content. In contrast to previous studies that neglected the influence of soil moisture content on determining the start and end dates of SLR and WWP, this study examines the variation in soil moisture content to evaluate the validity of existing theories. The findings reveal a high level of agreement between the machine learning model’s estimations of frost and thaw depths and the measured values, with R2 values exceeding 0.91.
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应用机器学习法确定弹簧载荷极限和冬季重量溢价
货物运输在维持加拿大经济方面发挥着至关重要的作用。然而,重型卡车运输也给公路网络带来了巨大压力。春季载重限制(SLR)的实施是为了最大限度地减少在解冻减弱季节重型交通对道路造成的损坏,而冬季载重溢价(WWP)则是通过允许在冬季增加轴载来减少春季载重限制对卡车运营的影响。然而,现行政策每年都会对这些限制规定固定的日期,而不考虑路面的实际结构承载能力。人们提出了不同的方法来改进 SLR 和 WWP 的应用,但这些方法主要依赖间接指数,如累积解冻指数和累积冻结指数,这给计算带来了挑战。本研究探索了机器学习模型的实际应用,以准确确定 SLR 和 WWP 的开始和结束日期。机器学习模型采用新颖的方法,根据路面温度和含水量确定的路面结构中的冻融深度,直接推导出 SLR 和 WWP 的开始和结束日期。以往的研究忽视了土壤含水量对确定 SLR 和 WWP 开始和结束日期的影响,与此不同的是,本研究考察了土壤含水量的变化,以评估现有理论的有效性。研究结果表明,机器学习模型对霜冻和融化深度的估计值与测量值高度一致,R2 值超过 0.91。
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