最优条件

Experiments of flow conductivity closure stress of typical propping agent are done, propping agent short-term flow conductivity alteration index is defined, by this, the relation between fissure short-term flow conductivity and closure stress, it is close to exponential relation. 4. Establishing the mathematical simulator of hydraulic fractured well's production in a steady state, finding the relation curve between dimensionless flow conductivity and fracture penetration coefficient by means of calculation and analyses, it is the basis of hydraulic fracture. 5. Expatiating the importance of optimized hydraulic fracturing design in reservoir engineering, advancing the optimizing design method, fracture dimension can be calculated easily when the physical parameters are known. 6. Production rate decline standard curve of vertical fractured wells is achieved by mathematical simulation, when the flow pressure is certain , by asymptotic analyze, this decline curve is close to exponential relation.

完成了国内外典型支撑剂的导流能力闭合应力影响实验，在数据分析中定义了支撑剂短期导流能力变异系数，并由此发现裂缝短期导流能力随闭合应力变化的近似符合指数关系式； 4 建立了一种水力压裂井稳态产能的数学模拟器，计算分析找到了最优无量纲导流能力与裂缝穿透比之间的新型关系曲线，它是水力压裂优化设计的基础； 5 阐述了水力压裂油藏工程优化设计的重要性，提出了优化设计方法，在已知支撑剂物性参数条件下可简洁计算最优裂缝尺寸； 6 数学模拟给出了垂直裂缝井产量递减标准曲线，在井底定压条件下通过渐近分析表明，该递减曲线满足指数关系式。

The first level and the lower level both have their objective functions and constraint conditions, the objective function and constraint conditions of the first level not only have relations with the upper decision variable, but also depends on the optimal value of the lower level.

上层和下层各有目标函数和约束条件，上层问题的目标函数和约束条件，不仅与上层决策变量有关，而且还依赖于下层问题的最优解或最优值。

The optimality conditions of Kuhn-Tueker and Fritz John's saddle points of vector optimization for generalized subconvex-like mapping are presented. Lagrange dual mapping and relationships among optimality conditions of saddle points, efficient and weak efficient solutions for vector and scalar optimization are established.

在拓扑向量空间框架内研究广义锥次类凸映射的向量优化，给出了广义锥次类凸映射的Kuhn-Tucker和Fritz John鞍点的最优性条件和Lagrange对偶，建立鞍点最优性条件与向量优化有效解和弱有效解之间的联系。

Some relations between generalized KT-properly efficient solution and generalized H-local-properly efficient solution are obtained under appropriate conditions.

在实用中，由于在给定的约束条件下求得的目标函数的最优值，有时会不符合人们的要求，因此有必要考虑当目标函数的最优值作适当改进时，如何使约束条件进行极小扰动的问题。

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。

In this model, we discuss the effect of tax policy on economic growth on the condition of market competitive equilibrium. Two chief conclusions are drawn: firstly, when the government has carried out steady tax policies, for consumers there exists unique optimal capital stock path along which economy can grow sostenuto and steadily; when the tax path given by the government converge to some constant tax rate, there still exists one capital stock path which can make the whole economy grow gradually and converge evenly to the optimal state.

在该模型中，我们讨论了在市场均衡条件下，税收政策对经济增长的影响，得到两个主要结论：一、当政府实行稳定的税收政策时，消费者存在着唯一的最优资本存量路径，沿着此路径经济能够持续平稳并且最优地增长；当政府给定的税收路径不稳定但能收敛到某个常值税收率时，此时也存在一条资本存量路径，它能使整个经济渐近平稳地增长，并且最终收敛到最优状态。

For the multi-channel system with multiplicative noises under multi-sensor observation an optimal fusion estimation algorithm is proposed on the conditions that the multiplicative noise is in the form of a general stochastic matrix and the measurement noises of each sensor are correlated with the dynamic noise.

第二，本文针对多传感器观测下的多通道带乘性噪声系统，在乘性噪声为一般矩阵且各个传感器的观测噪声分别与系统的动态噪声同时刻相关的条件下给出了状态最优滤波融合算法、最优固定域平滑算法及最优固定域反褶积算法。

This paper is based on "Trilemma" which is induced from MF model. In order to overcome MF models inherent defects, this paper constructs a static model headed by government on choice of optimum exchange rate regime. Through the analysis of the model we can see that the choice of exchange rate regime is a dynamic process should be decided in real situation. No single exchange rate regime is right for all countries or at all time. Under certain condition intermediate regime may be the optimum one, but the possibility will decrease with the increase of international capital flow.

本文从蒙代尔——弗莱明模型精炼出的"三元悖论"出发，为了克服其内在的缺陷，构建了一个政府主导的静态最优汇率制度选择模型，模型分析表明：汇率制度选择是一个动态的相机决策过程，没有哪一种汇率制度对所有国家或某一国的所有时期都适合；在一定条件下，中间汇率制度可能是最优汇率制度，但是其可选择的区间随着资本流动程度的加大而缩小，最终最优汇率制度将内生的向两极分化。

The main research results in this dissertation can be given as following:Firstly, the bidding strategies and affections of generation companies on the TOU power price are analyzed; Supply function model is employed to simulate the bidding strategies of generation companies in power pool. Some meaningful results are obtained through the proposed equilibrium equations model, when different bidding parameters are selected to maximize profit of suppliers, such as the the numeral of generation company, the block bidding, and power demand elasticity. Based on these results, the affections between the bidding strategies and the TOU power price are discussed.Secondly, the important principles consider the factor of bidding strategies of generation companies and consumers gaming strategies are proposed to constitute the new TOU power price model under present electricity market. Based on these pricinples a new mathematical model of TOU power price is constructed, to evade electricity market risk, partition the peak-valley, ascertain the consumers' response curve, and protect the ambilateral profits.Thirdly, the affections of the TOU power price strategies for reducing the network loss, adjusting node voltage, improving load curve of power system, and protecting the consumers' benefits in electricity market are analyzed with applications of a city real time load data of Jiangsu province.

针对&厂网分开，竞价上网&的电力市场运营模式，本文主要完成了以下研究工作：1研究了发电商不同的竞价上网策略，利用供给函数均衡方法，建立了发电商的竞价上网策略模型，给出了市场均衡解的具体解法；讨论了不同条件下发电商的竞价策略对市场的影响，并获得了发电商的最优上网竞价策略，明确了竞价上网与峰谷分时电价之间的影响因素；利用电力系统负荷曲线，建立了发电商最优竞价策略与峰谷分时电价之间的相互联系，通过仿真算例分析了峰谷分时电价与发电商最优报价之间的相互影响。2提出了&厂网分开，竞价上网&电力市场模式下，考虑发电侧竞价和用户侧博弈等风险因素影响，峰谷分时电价理论建模在规避电网企业运营风险，保护供电方与用户双方的利益、确定用户响应曲线、划分峰谷时段、设置合理的电价拉开比等方面所应遵循的基本原则，在此基础上建立了适合电力市场模式的峰谷分时电价模型。3从原理上分析了需求侧实行峰谷分时电价策略，对削峰填谷，提高负荷率，改善负荷曲线形状，降低电力系统的电能损耗和电压损耗等方面的影响，并进行了仿真验证。

Based on the optimal filters, various recursive algorithms of the optimal smoothing estimation under white-noise condition are derived, and problems of reducing storage requirements and computational load for the fixed-interval smoothers are discussed, moreover, optimal smoothers under various noise conditions are proposed, thus, the optimal state smoothing theory is founded.

在最优滤波算法的基础上，本文推导出白噪声情形下的状态最优平滑估计的各种递推算法，讨论了减少固定域平滑的存贮空间和提高运算速度问题，并提出了在多种噪声条件下的平滑估计方法，从而建立了这类系统的状态最优平滑估计理论。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。