数学规划

The traditional GIS system can only use mathematic method to describe and explain the confirmed programs but the power of making space decision and solving the uncertain programs are very weakly.

但是，传统的地理信息系统解决问题的方法和模式基本上都是以数学方法为基础建立的，所能解决的有关地理问题也主要是那些能够用数学方法描述和解释的具有确定性解的问题，在解决空间规划决策中有很大的不足。

Through careful analysis of the mathematics model of daily dispatching optimization of the cascade hydropower station, a new method based on the combination of two dimensional dynamic programming and discrete differential dynamic programming is proposed.

通过仔细分析梯级水库日优化调度的数学模型，提出了一种基于二维动态规划和离散微分动态规划相结合的混合求解策略，该策略理论上严谨，计算时间比较短，能满足日常调度的需要。

Actuarial science applies mathematical methods in insurance and is a science between applied mathematics and insurance. Bonus-malus system of automobile insurance is an important topic in actuarial science. Markov chain, Bayes theory, the theory of delay differential equation and dynamic programming are used to study BMS, especially optimal BMS, of automobile third-party liability insurance in this dissertation, which is organized as follows:First, we study the properties of Chinese present BMS.

精算学是将数学方法应用于金融保险所形成的一套理论体系，是应用数学研究领域和金融保险研究领域这两者之间的一个边缘学科，汽车保险奖惩系统是现代精算学中的一个重要研究课题，本文主要用马尔可夫链、贝叶斯理论、时滞微分方程理论与动态规划等研究汽车第三者责任保险奖惩系统，特别是最优奖惩系统。

Based on QoS space,this paper gives a way of multiple dimension modeling and analyzing of QoS management,and also gives the Integer Programming and Nonlinear Programming solution of this model.

该文以中国高速信息示范网重大课题核心路由器为分析背景，以QoS空间这一数学抽象概念为基础，建立了一个多维QoS管理模型，并且按照整数规划和非线性规划的思想，给出了该模型的求解方法。

In the research of image system, a image processing algorithm of welding seam is established on the basis of image math. model of structured light of Fourier-transformation of lens in space, and the image analyzing system based on the rule-model of the features of welding seam in 3D-space is also established which can meet the requirements of the auto-programming of welding parameters for arc welding robot in accuracy and reliability.

在焊缝图象系统的研制中，基于结构光空间付氏变换的光纹图象数学模型，建立了焊缝图象处理算法，并基于焊缝三维空间特征的规则模型，建立了焊缝图象分析系统，使焊缝检测与分析的精度和可靠性达到了弧焊机器人焊接参数自动规划及焊接路径自动规划的精度要求。

The absolute solution of Jiaojia ERP is put forward, the system models are established, and the solution are explained in detail. The business program of Jiaojia gold mine is reengineered based on the theory of "business centers", and the program-oriented compressed organization is framed. The index group and the solution of mine total quality management are setup. Then the optimize program of SCM and its components are designed on the guidance of "Horizontal Integration". The data of Jiaojia gold mine are reengineered based on the data warehouse technology. The information integration can be available after the establish of the business oriented databases, the subject integration oriented data marts, the application oriented data warehouses, the code databases and metadata, as weil as the OLAP system. The mathematics models and data mining modes are set up to function for the decision support of ERP system. The model of programming Master Production Schedule driven by geological resources and marked is figured out, so as to the models for material requirements planning and other decision supports are set up. The models provide service in forms of model storehouse, method storehouse, and algorithm tools center. The agent center is introduced to process the models' organizing, service, as well as self-study. The function system of Jiaojia gold mine ERP is figured out. By combining the development characteristics of Clients/Server and Browse/Server, the general framework and every sub systems are described in detail, including the function, structure, arrangement, modality, and so on.

主要内容如下：（1）深入论述了黄金矿山实施ERP的可行性，并结合应用需求将ERP理论在深度和广度上进行了拓延，建立了黄金矿山ERP系统的理论基础：以资源与市场共同驱动的供应链管理；黄金矿山的双重物流体系；以地质资源有效利用为目标的生产控制体系；黄金矿山财务管理的成本控制核心理论等；（2）提出焦家金矿ERP系统的整体解决方案，构建ERP系统模型，并进行了细节方案的设计：基于"作业过程核心"理论重新规划焦家金矿的业务流程，在此基础上设计面向流程的"扁平化"组织机构；建立了矿石全面质量管理的指标体系和实施方案；以"横向一体化"为指导思想，提出供应链管理各组成部分的全面优化方案；（3）以数据仓库技术为核心完成焦家金矿的数据规划，分别建立面向业务的数据库、面向主题集成的数据集市和面向主题应用的数据仓库，设计代码数据库和元数据库，定义OLAP方式，实现焦家金矿的全面信息集成；（4）针对ERP系统中的决策支持功能，建立了相应的数学模型和数据挖掘模型，提出了地质资源和市场共同驱动的主生产计划模型制定过程，进一步建立了物料需求计划的线性规划模型，以及其它决策支持模型；提出以模型库、方法库和算法工具为核心的模型服务方式，并设计了代理机制完成模型的组织、服务和自学习过程；（5）构建焦家金矿ERP系统的功能体系，针对C/S和B/S模式系统的开发特点，分别对功能体系架构以及各子系统的功能、结构、层次和形式进行详细设计。

Via connecting the maximal module ideal point algorithm with the power coefficient under Kuhn-Tucker condition, the bilevel multiobjective programming problem is changed to a singular-level singular-objective constraint programming problem.

给出双层多目标决策问题数学模型的一种解决方法，把带权极大模理想点法和Kuhn-Tucker条件结合起来，从而把双层多目标规划问题转化为单层单目标约束规划问题，进而求得原问题的弱有效解。

By both defining and quantifying of preference, four classes of preference functions and an aggregate preference function were constructed by using numerical method, and a mathematics model of physical programming was proposed.

通过定义偏好的概念及对偏好的数学量化，采用数值分析方法，构造了四种不同偏好结构的偏好函数，进而构造出综合偏好函数，并建立了物理规划数学模型。

This paper uses a stochastic dynamic programming of cross-temporal balanced optimization knowledge to establish a mathematical model of employment and position matching .

运用随机动态规划的跨时均衡最优化的知识，建立了工人就业决策数学模型和职位配对的数学模型，得出了工人理性的最低工资以及在劳务市场的存在职位机会和工人找到合适的职位即配对问题等对失业的影响。

This problem is firstly decomposed into two problems including capacity allocation problem and routing problem and then these two problems are integrated.The project establishes a series of mathematical models to analyze the problem by the means of stochastic programming and dynamic programming.

对于不确定环境下全球集装箱的收益管理问题，首先分解为集装箱空箱和重箱的舱位分配问题以及空船与满船的路径问题，然后再集成研究，运用随机规划和动态规划的方法建立一系列的数学模型进行分析。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。