针对赣南大道下穿赣深高铁桥梁近接桥墩段路基施工优化比选问题,提出了一种基于层次分析法(Analytic Hierarchy Process,AHP)-指标相关性权重确定法(Criteria Importance Through Intercriteria Correlation,CRITIC)和逼近理想解排序法(...针对赣南大道下穿赣深高铁桥梁近接桥墩段路基施工优化比选问题,提出了一种基于层次分析法(Analytic Hierarchy Process,AHP)-指标相关性权重确定法(Criteria Importance Through Intercriteria Correlation,CRITIC)和逼近理想解排序法(Technique for Order Preference by Similarity to Ideal Solution,TOPSIS)的多因子多方案综合评价方法。首先,基于结构变形、内力变化和经济指标构建了客观可量化的下穿工程综合评价指标体系;其次,基于各评价指标的价值差异问题,提出了AHP-CRITIC综合赋权法,利用最小鉴别信息原理将主、客观权重相结合,充分考虑了下穿工程评价中主观判断的重要作用及评价指标间信息量的对比强度和冲突性;最后,利用TOPSIS法求得多维空间中样本点到理想样本的正、负理想距离,通过计算相对贴进度对下穿施工工法进行定量排序。研究表明,该方法对下穿工程评价的影响因素复杂性和评价标准模糊性具有良好的处理效果,为方案评估优化提供了一条有效途径。展开更多
This work illustrates the application of the “Second Order Comprehensive Adjoint Sensitivity Analysis Methodology” (2<sup>nd</sup>-CASAM) to a mathematical model that can simulate the evolution and/or tr...This work illustrates the application of the “Second Order Comprehensive Adjoint Sensitivity Analysis Methodology” (2<sup>nd</sup>-CASAM) to a mathematical model that can simulate the evolution and/or transmission of particles in a heterogeneous medium. The model response is the value of the model’s state function (particle concentration or particle flux) at a point in phase-space, which would simulate a pointwise measurement of the respective state function. This paradigm model admits exact closed-form expressions for all of the 1<sup>st</sup>- and 2<sup>nd</sup>-order response sensitivities to the model’s uncertain parameters and domain boundaries. These closed-form expressions can be used to verify the numerical results of production and/or commercial software, e.g., particle transport codes. Furthermore, this paradigm model comprises many uncertain parameters which have relative sensitivities of identical magnitudes. Therefore, this paradigm model could serve as a stringent benchmark for inter-comparing the performances of all deterministic and statistical sensitivity analysis methods, including the 2<sup>nd</sup>-CASAM.展开更多
This work continues the illustrative application of the “Second Order Comprehensive Adjoint Sensitivity Analysis Methodology” (2<sup>nd</sup>-CASAM) to a benchmark mathematical model that can simulate th...This work continues the illustrative application of the “Second Order Comprehensive Adjoint Sensitivity Analysis Methodology” (2<sup>nd</sup>-CASAM) to a benchmark mathematical model that can simulate the evolution and/or transmission of particles in a heterogeneous medium. The model response considered in this work is a reaction-rate detector response, which provides the average interactions of particles with the respective detector or, alternatively, the time-average of the concentration of a mixture of substances in a medium. The definition of this model response includes both uncertain boundary points of the benchmark, thereby providing both direct and indirect contributions to the response sensitivities stemming from the boundaries. The exact expressions for the 1<sup>st</sup>- and 2<sup>nd</sup>-order response sensitivities to the boundary and model parameters obtained in this work can serve as stringent benchmarks for inter-comparing the performances of all (deterministic and statistical) sensitivity analysis methods.展开更多
文摘针对赣南大道下穿赣深高铁桥梁近接桥墩段路基施工优化比选问题,提出了一种基于层次分析法(Analytic Hierarchy Process,AHP)-指标相关性权重确定法(Criteria Importance Through Intercriteria Correlation,CRITIC)和逼近理想解排序法(Technique for Order Preference by Similarity to Ideal Solution,TOPSIS)的多因子多方案综合评价方法。首先,基于结构变形、内力变化和经济指标构建了客观可量化的下穿工程综合评价指标体系;其次,基于各评价指标的价值差异问题,提出了AHP-CRITIC综合赋权法,利用最小鉴别信息原理将主、客观权重相结合,充分考虑了下穿工程评价中主观判断的重要作用及评价指标间信息量的对比强度和冲突性;最后,利用TOPSIS法求得多维空间中样本点到理想样本的正、负理想距离,通过计算相对贴进度对下穿施工工法进行定量排序。研究表明,该方法对下穿工程评价的影响因素复杂性和评价标准模糊性具有良好的处理效果,为方案评估优化提供了一条有效途径。
文摘This work illustrates the application of the “Second Order Comprehensive Adjoint Sensitivity Analysis Methodology” (2<sup>nd</sup>-CASAM) to a mathematical model that can simulate the evolution and/or transmission of particles in a heterogeneous medium. The model response is the value of the model’s state function (particle concentration or particle flux) at a point in phase-space, which would simulate a pointwise measurement of the respective state function. This paradigm model admits exact closed-form expressions for all of the 1<sup>st</sup>- and 2<sup>nd</sup>-order response sensitivities to the model’s uncertain parameters and domain boundaries. These closed-form expressions can be used to verify the numerical results of production and/or commercial software, e.g., particle transport codes. Furthermore, this paradigm model comprises many uncertain parameters which have relative sensitivities of identical magnitudes. Therefore, this paradigm model could serve as a stringent benchmark for inter-comparing the performances of all deterministic and statistical sensitivity analysis methods, including the 2<sup>nd</sup>-CASAM.
文摘This work continues the illustrative application of the “Second Order Comprehensive Adjoint Sensitivity Analysis Methodology” (2<sup>nd</sup>-CASAM) to a benchmark mathematical model that can simulate the evolution and/or transmission of particles in a heterogeneous medium. The model response considered in this work is a reaction-rate detector response, which provides the average interactions of particles with the respective detector or, alternatively, the time-average of the concentration of a mixture of substances in a medium. The definition of this model response includes both uncertain boundary points of the benchmark, thereby providing both direct and indirect contributions to the response sensitivities stemming from the boundaries. The exact expressions for the 1<sup>st</sup>- and 2<sup>nd</sup>-order response sensitivities to the boundary and model parameters obtained in this work can serve as stringent benchmarks for inter-comparing the performances of all (deterministic and statistical) sensitivity analysis methods.
