地下水资源系统多目标管理模型与模糊带权二次规划方法

本文以济南地下水资源系统保泉供水管理课题为例,分析研究地下水资源系统多目标管理问题。首先建立起地下水资源系统多目标管理模型;然后利用模糊数学理论和权重概念,提出一种求解多目标决策问题的模糊带权二次规划方法,此方法可以同时解决互为竞争、互为矛盾的各目标之间的不可公度性和主次性问题。实际计算表明,所建立的模型和提出的方法具有较强的实用性和通用性。     

一种中分辨率遥感影像道路的快速搜索算法

基于动态规划的思想,提出了一种用于中等分辨率遥感影像的道路搜索算法,利用线段代价最小规则进行道路线段跟踪,实验结果表明算法相对简单、快速有效、抗噪性能好。     

An Aggregate Constraint Method for Inequality-constrained Least Squares Problems

The inequality-constrained least squares (ICLS) problem can be solved by the simplex algorithm of quadratic programming. The ICLS problem may also be reformulated as a Bayesian problem and solved by using the Bayesian principle. This paper proposes using the aggregate constraint method of non-linear programming to solve the ICLS problem by converting many inequality constraints into one equality constraint, which is a basic augmented Lagrangean algorithm for deriving the solution to equality-constrained non-linear programming problems. Since the new approach finds the active constraints, we can derive the approximate algorithm-dependent statistical properties of the solution. As a result, some conclusions about the superiority of the estimator can be approximately made. Two simulated examples are given to show how to compute the approximate statistical properties and to show that the reasonable inequality constraints can improve the results of geodetic network with an ill-conditioned normal matrix.     

Genetic Programming Approach for Predicting Surface Subsidence Induced by Mining

INTRODUCTIONThe study of surface subsidence resulting fromunderground mining holds significance in view ofbeneficial effects on national economy and people’sliving conditions.As is known,a large quantity ofminerals need to be exploited for modernization con-struction.Mining leads to surface subsidence,someunderground engineering and production facilities aredestroyed accordingly,which blocks the developmentof production and retards people’s living standard.To solve this contradiction,su…     

遗传规划在岩石力学中的应用

本文探讨了遗传规划这一新的优化方法在岩石力学参数确定中的应用。由于影响岩石力学性能的各因素之间关系不明确,而遗传规划特别适用于各影响因素之间因果关系不明确的复杂非线性问题。它为预测岩石力学性能提供了一条新的技术途径。通过例子,说明该方法的实用性。     

考虑权值非负约束的泛克立格算法

泛克立格法是地质统计学的一种重要估值方法,当区域化变量在空间变异几何域内非平稳时常用泛克立格法来估值。然而,用泛克立格方程组计算估计权值时由于未对权的符号作任何限制,从而使得计算出的权值经常出现负权现象,而负权的存在有许多弊端,所以在许多应用中有必要对权值作非负要求。本文基于线性规划方法提出了一种考虑权值非负约束的泛克立格算法,该算法既考虑到了权值的非负约束条件,又利用了线性规划方法求解简便快捷的优点。     

耦合高维排序权和对偶线性规划的综合指数算法

区域可持续与高质量发展需定期监测并科学评估。综合指数评价是应用最为广泛、信息传输效率最高的评估方法。该方法将表征区域发展质量不同侧面的系列指标加权聚合为单个指数,其核心是采用或客观或主观的方式确权。客观确权基于指标的数值统计特性实现,故权重值随指标值而改变,实非“客观”;主观确权能反映决策者智慧,但指标过多时难以实现。学界新提出的基于耦合排序权和熵权法的综合指标法允许决策者确权时仅给出权重排序,但仅支持低维情况（限制为3个指标）。本文在其基础上,借助对偶线性规划推导,使其适用性不再受限于指标数（即实现高维排序权）。同时,对指标的聚合方式进行修改,扩大了算法的适用范围;对熵权法的使用进行修正,增强了算法结果的可解译性。基于推导结果,本文进一步发展出单排序、复排序、全排序3种不同模式下的综合指数计算方法,以满足决策者主观性强、弱、无等不同情况。最后,将算法用于全球可持续发展格局的时空评价分析。本文新发展的算法同时适用于高低不同维度的指数聚合、可兼顾决策者不同层次的主观参与度,具有较强的普适性。     

BP神经网络在高程异常反演预测中的应用分析

利用C#语言编制了BP神经网络反演预测程序,基于具有代表性地区的高程异常数据,对BP神经网络在高程异常反演预测中的应用进行了分析。结果表明,本程序交互界面良好,具有很好的通用性;同时,在高程异常反演预测中取得良好的效果,说明神经网络在差异较大的数据反演预测方面仍具有较强的优势。     

Upper bound limit analysis using linear finite elements and non‐linear programming

A new method for computing rigorous upper bounds on the limit loads for one‐, two‐ and three‐dimensional continua is described. The formulation is based on linear finite elements, permits kinematically admissible velocity discontinuities at all interelement boundaries, and furnishes a kinematically admissible velocity field by solving a non‐linear programming problem. In the latter, the objective function corresponds to the dissipated power (which is minimized) and the unknowns are subject to linear equality constraints as well as linear and non‐linear inequality constraints. Provided the yield surface is convex, the optimization problem generated by the upper bound method is also convex and can be solved efficiently by applying a two‐stage, quasi‐Newton scheme to the corresponding Kuhn–Tucker optimality conditions. A key advantage of this strategy is that its iteration count is largely independent of the mesh size. Since the formulation permits non‐linear constraints on the unknowns, no linearization of the yield surface is necessary and the modelling of three‐dimensional geometries presents no special difficulties. The utility of the proposed upper bound method is illustrated by applying it to a number of two‐ and three‐dimensional boundary value problems. For a variety of two‐dimensional cases, the new scheme is up to two orders of magnitude faster than an equivalent linear programming scheme which uses yield surface linearization. Copyright © 2001 John Wiley & Sons, Ltd.     

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。