用线性规划法求解瞬变电磁场反射系数

讨论了在水平层状介质中的反射系数的物理意义 ,推出时间域含有以反射系数序列为未知项的欠定方程组 ,提出用线性规划法求解瞬变电磁场反射系数序列 ,并给出求解思路和程序框图。对两个理论模型进行了处理 ,计算出了其反射系数。算例分析结果表明 ,算法可靠 ,程序可行。这一方法可用于瞬变电磁成像数值计算中。     

基于非线性规划原理绘制钻孔柱状图方法研究

针对现有钻孔柱状图绘制中描述文字空间分布存在的问题,采用弹性理论-非线性原理对柱状图描述文字位置进行规划,合理分配各岩层描述单元空间,形成柱状图的初步分布;计算出各个地层的工程地质描述文字在柱状图图纸中最优位置的高度坐标xi;利用Auto CAD软件图形绘制环境,实现全程自动绘制钻孔柱状图的新方法。该方法高效且专业性强,图件规范、整齐、文字分布合理、格式美观,无需对图件进行后期的手动处理,免去了人工处理过程,节约了大量的人力成本。     

基于局部体样条函数的海洋盐度场建模

海洋盐度是海洋水文要素的重要组成部分,是海洋战场环境研究的重点。在介绍海水盐度数据特点的基础上,采用局部体样条函数法对散乱的大规模盐度场标量数据进行建模,并利用遗传算法和非线性规划相结合的方法解决体样条函数法的区域划分问题。通过一组实测数据进行建模实验并将得到的数据场进行可视化,表明该方法适用于大规模散乱数据场的建模,可为海洋战场环境的数据分析和场景构建提供建模手段。     

具有稳健初值的选权迭代法曲面拟合模型粗差探测

将抗差估计的思想融入到二次曲面模型粗差探测的算法中,设计出对模型误差特别是粗差具有抵抗能力的粗差探测算法。稳健初值的选权迭代法即为抗差估计的一种,首先是通过线性规划的单纯形解法来计算观测值的残差,然后再根据残差和有关的参数,按所选择的权函数,计算每个观测值的权,经过迭代计算求得观测值的残差。通过实例证明,具有稳健初值的选权迭代法具有较强的稳健性和粗差探测能力。     

区域地理信息系统在农业中的应用——以福建省浦城县为例

本文应用系统分析的理论和方法，建立了浦城县地理信息系统，分析了信息系统的结构、功能及信息管理过程，并在系统的支持下对浦城县农业发展战略进行决策研究，提出了一系列分析意见，开辟了地理信息系统应用的新领域。     

求解半变异函数的常用方法与新方法研究

半变异函数的获取既有人为主观求取法,又有运用数学工具客观求取法,但是后者是今后的主要趋势。笔者在前人工作的基础上,归纳出多项式回归法、线性规划法和目标规划法三种求解半变异函数的成熟方法,以及非线性回归理论直接求解法、进化计算和积分面积三种新兴方法,并总结出各种方法的优缺点。最后概括出计算权重的两种方法。     

海底油气集输管网的线性规划模型

本文对海上油田开发的油气集输管网系统进行了分析,提出了一个海底管网投资的线性规划模型,即“０～１”整数数学规划模型,运用图论和网络分析中的生成树方法对该数学模型进行求解。该方法能够对海底油气集输管网系统进行规划,并对一个具体实例进行了优化分析,得出了投资费用最省的管网布置方案。     

水-岩作用的线性规划模型与应用研究——以溪洛渡水电工程为例

采用水-岩作用热力学模拟的方法,以溪洛渡水电站工程为实例,从水化学方面对坝区复杂水文地质条件作了定量分析评价。研究成果充分反映了水-岩作用这种物理化学反应的结果,同时也为正确评价溪洛渡水电站复杂水文地质条件提供了可靠的依据。     

中国石化产业空间组织的评价与优化(英文)

The spatial organization of the Chinese petrochemical industry was optimized ac-cording to the status of development of the industry employing linear programming and Ar-cGIS spatial analysis tools. We first identified the indexes of the spatial organization of the petrochemical industry and established a comprehensive evaluation index system that in-cludes four major categories and 11 indicators. The weight of each index was then deter-mined by the analytical hierarchy process. Afterward, taking the 337 Chinese prefecture-level administrations as basic units and scientifically evaluating the potential comprehensive layout coefficients of the cities, 151 prefecture-level administrative units were selected as the basis for the choice of optimization sites with a linear programming model. Secondly, using the 151 prefecture-level administrative units and the maximum-coverage model, the optimal number and spatial distribution of refineries were identified for service radii of 100, 200 and 300 km. Thirdly, considering the actual distribution of China’s refineries, general rules for the number of refinery layout points and objective values were summarized, and 52 refinery layout points were selected for China. Finally, with ArcGIS spatial analysis tools, the spatial effect of the 52 optimal refinery layout points was simulated for the service scope and socioeconomic factors respectively, and the GDP and population data for each refinery layout point were then ex-tracted within the service scope. On this basis and with estimation of the intensity of crude-oil consumption, final results were obtained for the optimal spatial organization of the Chinese refining capacity and ethylene production capacity.     

Land Use Allocation Based on Interval Multi-objective Linear Programming Model： A Case Study of Pi County in Sichuan Province

Adjusting and optimizing land use structure is one of the essential approaches to solve the conflict between land supply and demand. In this study,an uncertain interval multi-objective linear programming model was established and applied to analyzing the suitability of land use structure in Pi County of Sichuan Province. An adjustment scheme for optimizing land use structure was proposed on the basis of development planning drawn up by the local government. The results are summarized as follows: 1) the opti...