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The content of this thesis contains the overview of the waste incinerator site selection problems and multi-criteria decision making theory, the development of a flamework for multi-criteria siting selection process, the establishment of evaluation factors, the completement of an expert decision support system for a waste incinerator site selection model, and the empirical application of a real world waste incinerator site selection existing in Taichung City.Keywords : NIMBY Facility、 Expert Decision Support System、 Combinatorial Optimization Mathematical Programming Models、 Multi-criteria Decision Analysis、 Analytic Hierarchy?Process 、Multi - attribute Utility Function MAUF

先以区位可行性筛选方式进行分析,并结合数学规划模式与多属性效用评估方法进行垃圾焚化厂区位选择之多准则评估作业;(3)评估项目阶层架构之研拟,并由专家问卷获得评估因子权重值及评估指标操作定义,以进一步建构专家知识库;(4)建立一焚化厂区位选择专家决策支援系统,以辅助规划及决策人员进行垃圾焚化厂区位选择之方案评估作业;(5)最后针对台中市设置垃圾焚化厂设施的区位选择问题进行本专家决策支援系统之操作。

The Schiff base transitional metal complexes of various structures and their metallomicelles as peroxidase models for the phenol and phenolic derivant oxidation have been investigated. Some results are obtained from the studies:(1) the Schiff base transitional metal complexes have high catalytic activity for the phenol and phenolic derivant oxidation, and the structure of the complexes has a great effect on its catalytic activity;(2)a novel kinetic mathematical model for the complexes and their metallomicelles catalyzing the phenolic derivant oxidation has been established;(3) the feasibility and mechanism for the phenolic derivant oxidation catalyzed by the metallomicelle(as the mimetic model of peroxidase)have been discussed.

研究了冠醚Schiff碱金属配合物作为过氧化物酶的模拟模型对酚类物质氧化反应的催化作用,取得如下结果:(1)几种冠醚Schiff碱金属配合物对催化酚类物质氧化具有良好的催化活性,其中配体结构对其催化活性有较大的影响;(2)建立了金属配合物与表面活性剂形成的金属胶束催化酚类物质氧化反应的动力学数学模型;(3)探讨了金属胶束模拟过氧化物酶催化酚类氧化反应的可行性及其机理。

This thesis investigates the profile extraction and shape optimization on the result of topology optimization of planar compliant mechanisms. The main context includes the following work:(1) summarizing and analyzing the recent research status, some harvest and unsolved problems;(2) analyzing the conceptual design of planar path-generating compliant mechanisms and its mathematical model and tools;(3) Modifying the method of density contour as the method of profile extraction, and developing a method to optimize the density function in the profile extraction according to the requirement of the design of compliant mechanism;(4) developing a method to abstract the compliant mechanism into a form of links and joints by using the principle of connectivity on topology;(5) developing a method of shape optimization of planar path-generating compliant mechanisms, by representing the profile of the abstracted compliant mechanism as simple curves such as straight lines and arcs, establishing the models of the size optimization of the parameters of these curves, so that the compliant mechanism has a machinable shape;(6) At last, proving the feasibleness and effectiveness of the design method by making simulation design and validating it in FEA software.

主要工作包括:(1)分析了柔顺机构拓扑优化和形状优化的研究现状,分析了目前柔顺机构的研究重点、主要成果和尚未解决的问题;(2)分析了基于SIMP的柔顺机构概念设计方法及其相关工具和模型;(3)针对柔顺机构轮廓提取的特殊要求,提出了密度等值线法的改进方案,对密度函数插值点密度值进行优化,提出优化模型和选择优化算法;(4)根据轨迹输出平面全柔顺机构自身的形状特点,提出了轨迹输出平面全柔顺机构的抽象方法,即应用拓扑学上的连通性原理将柔顺机构抽象成杆件和结点形式,并对相应的数学原理进行了证明;(5)提出了平面全柔顺机构的形状还原和尺寸优化方法,对抽象的柔顺机构进行还原,将其轮廓还原成简单曲线的连接,从而建立尺寸优化模型,对机构进行尺寸优化设计,在得到可加工的机构轮廓的同时又能对关键部位进行特别处理;(6)进行了柔顺机构的数值仿真设计,并将所得设计结果导入商用有限元软件中进行仿真实验,证明了设计方法的可行性和有效性。

Mathematical structure of biological classification and its convincing interpretation have been an academic issue that has aroused extensive attention in the biological circle, but few have applied statistical distribution models to the study or analysis of structure of nonbiological classification, such as Soil Taxonomy.

生物系统分类的数学结构及其令人信服的解释一直以来是生物学界广泛关注的经典学术问题,然而很少有人用统计分布模型对非生物分类系统的结构进行分析与研究。

A mathematical model which aims to minimize the total cost of whole pick-up operation process is established, it was a multi-phase optimization model comprised of two sub-models: rehandling operation scheduling and the shortest path searching.

建立了提箱作业优化的数学模型,该模型以提箱作业总成本最小为目标,以规则库中的作业规则为约束条件。

In this article, We consider two important models for second order sublinear differential equations: the existence of infinitely many subharmonic solutions for Duffing equation with bounded restore force and for the sublinear impact oscillator. They have attracted lots of researchers attention in mathematical, other scientific and engineering fields.

本文考虑被数学和其他科学、工程领域的研究人员广为关注的两个重要的二阶次线性微分方程模型:具有有界恢复力的Duffing方程和次线性碰撞振子的无穷多个次调和解的存在性。

This thesis introduces the development and background of main activated sludge models,and how to establish the mathematical model of a specific treatment process.

本文介绍了主流活性污泥数学模型的发展历程和相关背景知识,以及如何针对具体工艺建立并求解数学模型的方法。

A mathematical model of high-voltage short distance ring power transmission lines is developed and a multiple modules coupling model of this power transmission system fit for digital real-time simulation is further presented on the basis of known models of synchronous machine and composite load.

建立了高压短距离环形电力传输线的数学模型,并在已知同步发电机与综合负载模型的基础上,进一步提出了适合于该电力传输系统数字实时仿真的多模块耦合模型,同时给出了相应的数字积分方法。

In this paper, I have constructed models for local population and metapopulation dynamics. Then by mathematical analysis and numerical simulation, I focus my studies on the relation between the Allee-like effects at the metapopulation level and the Allee effects at the local population level and their impacts on the stability of ecological systems.

在本文中,通过建立局域种群和集合种群的理论模型,把局域种群动态和集合种群动态结合起来,用数学分析和数值模拟分析的方法研究了集合种群水平上的似Allee效应与局域种群的Allee效应之间的关系以及它们对生态学系统稳定性的影响,并对含Allee效应的物种的自然保护提供了理论依据。

Mathematical model of corneal shape factor The SF models of the steepest and flattest meridians on anterior corneal surface were〓 z〓 and 〓 respectively.

数学模型软件的应用正常人角膜前后表面为扁长椭圆形,曲率分布呈对称蝴蝶结形,顺规性散光,中央3mm区为近似球形的光学区。

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