优化问题

Analyzed the similarity between scheme solving problem and traveling salesman problem, the scheme solving problem for conceptual design is transformed into an optimal path problem in combinatorial optimization, where the dynamic programming based solution space model and the longest path based optimization model are developed.

摘要通过分析概念设计方案求解问题与旅行商问题的相似性，将方案求解问题转化为组合优化的最优路径问题，建立了基于动态规划的解空间模型和基于最长路径的优化模型。

Optimal algorithm of combined nonlinear Hopfield network appears powerful validity in solving nonlinear planning, which includes nonlinear objective function, linear constrains and high-demension of decision-making variants, for its ability of nonlinear parallel computation. It is prominent among optimal algorithms because of its function of simply implement with electrocircuit hardware. Genetic algorithm is expressly suitable for optimal calculation regarding the planning of massive, highly nonlinear, inconsecutively differentiable and multiobjective function as well as objective function without analytical expression. However, it inclines to prematurity, as well as its limitation in ability of partial optimal search. Introducing the optimal algorithm of niche genetic simulated annealing to standard Genetic algorithm, can therefore improve the full-scale or partial search ability of Genetic algorithm effectively. It has a far-flung perspective in the field of systemic planning of water pollution control.

组合式非线性Hopfield网络优化算法所具有的非线性大规模并行计算能力在求解具有非线性目标函数、线性约束条件及高维决策变量的非线性规划问题方面显示出了强大的生命力，它易于电路硬件实现的功能更是在优化算法中独树一帜；遗传算法采用概率搜索技术，不受目标函数与约束条件的限制，特别适合大规模、高度非线性的不连续可微的多峰目标函数及无解析表达式的目标函数的规划问题的优化计算，但其存在容易早熟、局部寻优能力较差等缺点，本文在标准遗传算法中引入小生境技术及模拟退火算法有效地改善遗传算法的全局和局部搜索性能，提高了全局最优解的寻优质量，小生境遗传退火模拟优化算法在水污染控制系统规划中的应用前景极为广阔。

Finally, it analyses the time complexity of the algorithm and researches how it is influenced by culture operator.3、The paper presents the evaluation standard of the GA's application capability. Basing on characters such as continuity, multi-peak, vibration, randomicity as well as large-scale, five functions are selected to test search ability and robustcity of co-evolution algorithm. Finally, it analyses the simulation result and researches the influence of algorithm brought by culture operators.4、Basing on the concept of collection overcast, it researches the task distribution issue and constitutes delaminated math model on task distribution issue. It puts out the co-evolution algorithm of subtask's decomposing. The experiment compare IGA、SGA to CN and validates the efficiency of co-evolution algorithm on the NP completeness issue.5、Being aim at the optimization issue of load of antenna near ground, it combines many GA strategies and puts forward strategic meme. And it puts out co-evolution algorithm of load of antenna design. And it emulates the optimization design of load of antenna near ground. Finally, it valuates the co-evolution algorithm's efficiency on the continuum search issues of multi-variable and multi-peak value.6、Being aiming at the knowledge of image model matching, it adopts single meme and real code. It puts out fast co-evolution matching algorithm strategy. Basing on NPROD resemble measurement, I emulate the indiscrimination model matching and discrimination model matching. Finally, it valuates the co-evolution algorithm's efficiency on the real code and real time search issue.

分析了算法的时间复杂度，研究了文化算子对算法时间复杂度的影响。3、提出了GA的应用性能评价标准，从连续性、多峰性、随机性、振荡性、广域性多个角度出发选择五个测试函数，对共同进化算法的搜索性能和鲁棒性作了函数优化的性能测试，分析了仿真结果，研究了文化算子对算法的影响。4、基于集覆盖的概念，研究了MAS中的任务分配问题，建立了任务分配问题的分层数学模型，给出了子任务分解共同进化算法，实验比较了IGA、SGA、CN，验证了共同进化算法对NP完全问题的有效性。5、针对近地天线加载优化设计问题，结合多种改进GA策略，提出了策略型拟子，给出天线加载设计的共同进化算法，对有耗半空间对称偶极子天线加载优化设计作了仿真实验，验证了共同进化算法对多变量多峰连续搜索问题上的有效性。6、针对图像模板匹配问题的领域知识，采用单类拟子和实数编码，给出快速共同进化匹配算法策略，基于NPROD相似度测度，仿真试验了无差别和有差别模板匹配，验证了共同进化算法对实数编码和实时性搜索问题上的有效性。

Reduced SQP based on orthonormal bases, orthogonal bases and coordinate bases are studied and compared. With the correction item introduced, the null-space move is adjusted and the reduced SQP based on coordinate bases decomposition is improved.●The key problem of steady-state data processing for RTOPT is studied. A new algorithm of simultaneous strategies for data reconciliation and gross error detection is proposed. Here the objective function that is constructed using maximum likelihood principle and joint distribution function is minimized. Efficient algorithm is developed which exploited the nonlinear lease-square structure of this objective function.

仿真结果表明了算法的有效性；●深入研究了在线优化中的一个关键问题——稳态数据处理问题，用基于组合概率分布的目标函数联立求解粗劣误差检测和数据调和问题；以精馏塔在线优化的数据处理和模型修正为例，提出一种根据模型方程对参数的依赖性进行过程模型分解的分层策略，可以将数据调和和参数估计统一在数据处理的大框架中，为进一步的过程性能分析、操作状况评价以及在线优化提供可靠的基准，具有非常重要的工程应用价值；●将优化命题的形式扩展到更通用的形式。

The 5th chapter studied the crucial problem of floating detection application, develop the traffic flow information collection technology based on GPS, put forward the general principle and optimization method of the floating detection minimum sample size, and simulate several sample size scenarios of floating detection on the city road with the microscopic simulation software The 6th the combination application optimization of the dynamic traffic flow information collection technology, put forward the necessariness of combination application optimization, then analysed the principle and work steps of combination application optimization design, finally gived an example for the combination application optimization.

第五章是移动型检测器应用的关键问题研究。本章对移动型检测器的空间布置问题进行了研究，设计研究了基于GPS的动态交通流信息采集技术，提出了移动型检测器最小样本量确定的一般原则和方法，并利用微观仿真模拟软件进行了模拟分析。第六章是动态交通流信息采集技术组合应用优化设计研究。本章首先提出了进行动态交通流信息采集技术组合应用优化设计的必要性，然后分析了组合应用优化设计的原则，设计了组合应用优化设计的工作步骤，并举例分析了动态交通流信息采集技术组合方案的优化设计方法。

The 5th chapter studied the crucial problem of floating detection application, develop the traffic flow information collection technology based on GPS, put forward the general principle and optimization method of the floating detection minimum sample size, and simulate several sample size scenarios of floating detection on the city road with the microscopic simulation softwareThe 6th the combination application optimization of the dynamic traffic flow information collection technology, put forward the necessariness of combination application optimization, then analysed the principle and work steps of combination application optimization design, finally gived an example for the combination application optimization.

第五章是移动型检测器应用的关键问题研究。本章对移动型检测器的空间布置问题进行了研究，设计研究了基于GPS的动态交通流信息采集技术，提出了移动型检测器最小样本量确定的一般原则和方法，并利用微观仿真模拟软件进行了模拟分析。第六章是动态交通流信息采集技术组合应用优化设计研究。本章首先提出了进行动态交通流信息采集技术组合应用优化设计的必要性，然后分析了组合应用优化设计的原则，设计了组合应用优化设计的工作步骤，并举例分析了动态交通流信息采集技术组合方案的优化设计方法。

This paper determines the design idea of combining VISC with structural optimization design. Problems which existed in structural optimization design are analyzed and contents of optimization process are determined. Calling and dominating calculation program written in FORTRAN in the development environment of Delphi are realized by the techniques of FORTRAN/Delphi mixed-language programming and multi-threaded application. Parallel coordinates visualization technology is deeply researched and applied in software exploitation of optimization process. Essential programs of VISC software are compiled. Approaches which can improve efficiency of optimization are discussed. In the end, functional modules are integrated and a typical computational example is verified.

本文通过对结构优化设计和科学可视化的研究，确立了天线结构优化设计与科学计算可视化技术紧密结合的思路；根据天线结构优化设计的特点，针对优化设计中存在的问题，对系统结构优化的总体框架进行了分析和论述，确定了优化过程可视化的具体内容；通过FORTRAN与Delphi的混合语言编程实现了在Delphi环境下对FORTRAN计算程序的调控，充分利用了原有FORTRAN程序资源；对平行坐标技术进行深入研究，并将其应用于优化过程可视化模块的软件开发中，实现多维数据空间的可视化；编写优化计算过程可视化软件的核心程序；探讨了提高优化效率的途径；对基于可视化的天线结构优化设计软件系统进行集成，针对某天线进行了算例验证。

The optimal control problem for the FCC process is solved using the MFNN (multilayer feedforward neural network) for system recognition and modeling, periodogram analysis for model testing, and the advanced Frank-Wolfe algorithm for steady state optimization computation.

为解决催化裂化过程的优化控制问题，采用多层前馈神经网络进行辨识、建模，用周期图检验法对模型检验，用改进的Frank-Wolfe算法进行稳态优化计算，并以大港炼油厂实际生产过程的稳态数据进行试验和验证，说明神经网络适合于解决非线性复杂生产过程的辨识、建模和稳态优化控制问题。

The PID parameter tuning of non-linear control system is set as the engineering background. The aim is the optimal design of PID parameter. On the basis of the design and research of the advanced PID parameter tuning, the mathematical model-transfer functionis developed through correlation analysis on statistical method.And with the optimization algorithm under constraint condition, the non-linear, Isqnonlin is set as object function. Then with connection of the non-linear constrain optimization algorithm and simulink technique, a set of adjust parameters which fit the performance index of the control system are found. And optimization design process and steps are provided.

本文以非线性控制系统PID参数整定为工程背景，以PID参数的优化设计为目标，在分析和研究国内外PID参数先进整定方法的基础上，运用相关分析实验统计方法建立对象的数学模型——传递函数，把PID参数设计问题转化为一种非线性优化设计问题，借助于约束条件下的优化算法，以非线性最小平方指标为目标函数，将非线性约束优化算法同Simulink仿真技术相结合，找出符合控制系统品质指标的一组调节参数。

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。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。