Asphalt-treated base (ATB-25) is a widely used flexible base material. The composition and gradation of mineral aggregate are important factors affecting pavement performance of asphalt treated base. In this study, two new methods were proposed to address the problems of existing aggregate proportion calculation for asphalt mixtures: (1) the combination of generalized inverse solution of the normal equation and spreadsheet trial and (2) quadratic programming. Both methods can calculate mass ratios of various aggregates in a quick and accurate manner. The orthogonal test was used to design nine aggregate gradations within the range of asphalt treated base (ATB-25) stated in the industrial standard. The aggregate proportion was calculated by two new methods. The Marshall test, water weight test, rutting test, and water-soaked Marshall test were carried out on the asphalt mixture specimens. The pavement performance test results were fuzzified using the fuzzy mathematics method, and the weights of pavement performance evaluation indexes were determined through the analytic hierarchy process. Taking the fuzzy comprehensive evaluation values as the objective function, test results were analyzed and evaluated. Finally, the optimal aggregate gradation was determined considering factors of compactness, high-temperature rutting resistance, and water stability.

中文翻译：

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沥青处理基层骨料配比计算及级配优化新方法（ATB-25）

经沥青处理的基层 (ATB-25) 是一种广泛使用的柔性基层材料。矿料的组成和级配是影响沥青处理基层路面性能的重要因素。在这项研究中，提出了两种新方法来解决现有沥青混合料骨料比例计算的问题：（1）正规方程的广义逆解和电子表格试验相结合；（2）二次规划。这两种方法都可以快速准确地计算各种骨料的质量比。正交试验用于在工业标准规定的沥青处理基层（ATB-25）范围内设计九个骨料级配。合计比例采用两种新方法计算。马歇尔试验、水重试验、车辙试验、对沥青混合料试件进行水浸马歇尔试验。采用模糊数学方法对路面性能测试结果进行模糊化处理，并通过层次分析法确定路面性能评价指标的权重。以模糊综合评价值为目标函数，对试验结果进行分析评价。最后，综合考虑密实度、高温抗车辙性和水稳定性等因素，确定了最佳骨料级配。以模糊综合评价值为目标函数，对试验结果进行分析评价。最后，综合考虑密实度、高温抗车辙性和水稳定性等因素，确定了最佳骨料级配。以模糊综合评价值为目标函数，对试验结果进行分析评价。最后，综合考虑密实度、高温抗车辙性和水稳定性等因素，确定了最佳骨料级配。