最优条件

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。

Under these assumptions, for any given selling price the paper develops the criterion for the optimal solution to the replenishment schedule, and proves that the optimal replenishment policy not only exists but is also unique. It shows that the total profit per unit time is a concave function of price when the replenishment schedule is given.

在这些假设下，证明了对任意给定的价格，最优订货周期长度和该订货周期内最优存货时间的长度不但存在而且惟一，又证明了在给定订货周期条件下平均利润函数是关于价格的严格凹函数，求出了物品的最优销售价格。

PSO is a population-based optimization algorithm, which mimics the social behavior of animals in a flock. It makes use of individual and group memory to update each particle position allowing global and local search optimization. The objective function considered was the total weight of the structure subjected to stresses, displacements and forces constraints. The effects of the parameters were investigated as well and such combination of tuning parameters promote a better global search behavior avoiding premature convergence while rapidly converging to the optimal solution. Results showed the effectiveness of the proposed method by comparing with ANSYS Design Optimization Tool (zero-order method). The PSO with the tuning parameters makes it an ideal method for offshore wind turbines foundations optimization tasks.(2) A reliability analysis method for pile foundation bearing axial loads based PSOThe performance function of pile foundation's axially bearing capacity sometimes is nonlinear and complex, on the basis of geometric meaning of structural reliability index, an optimum model with PSO for structural reliability analysis under arbitrary random variables was established, The PSO algorithm is very efficient to solve global optimization problemsIts use in structural reliability field presents not only the advantage of its facility of implementation, but also the possibility to obtain the design point and the failure probability with a good accuracy. In addition, PSO is a zero order algorithm, for no derivative is necessary for its implementation.

本文的研究针对桩式海上风机基础结构的特点，在国内外有关研究成果的基础上对海上风机基础结构优化设计理论和可靠度方法一些相关问题进行了较为深入的研究，具体做了以下几个方面的工作：(1)基于粒子群优化的桩式海上风机基础确定性优化设计方法桩式海上风机基础的优化设计是一个复杂的、非线性约束的优化问题，针对传统的基于梯度信息的优化方法在处理非线性问题中易陷入局部最优解的问题，本文将一种耦合惩罚函数的PSO算法引入到海上风机基础结构概念设计中，PSO算法是从群体动物聚集觅食这一活动中受到启发而发展的，该算法利用个体和群体的信息共享不断改进自身的位置从而进行局部和全局最优搜索，本文中以桩和三脚架连接段直径及壁厚为设计变量，以基础总重量作为优化的目标函数，在给定的约束条件下建立了三脚架基础优化数学模型，另外本文还研究了PSO参数变化对结果的影响，协调的参数组合可以避免陷入早熟收敛而能够快速的获得全局的最优解，通过与ANSYS优化模块的计算结果比较验证了该方法的有效性，本方法为海上风机基础的确定性设计提供了一条有效的途径。

Also, we show the existence conditions and economic interpretation of the optimal solution.

本文从理论上证明了模型最优解与用户均衡的一致性，给出了模型最优解的存在条件和最优解的经济解释。

An optimal control model is developed for the definite linear economic systems with an inequality constraint on state integrals, based on the dynamic input-output theory.

利用动态投入产出模型和控制理论方法相结合，对经济系统进行分析和宏观调控·具有状态积分不等式约束的确定性线性经济系统最优控制模型，是基于动态投入产出理论建立的·利用无约束条件的极大值原理，分析了最优技术与经济控制策略的存在性和惟一性，使得产品的实际产出尽量接近理想产出，同时使能源、资金等消耗最小，并给出了最优反馈控制的形式

The relation between the nondegeneracy of their primal-dual optimal solutions and their strictly complementary optimal solutions is characterized, and then the conditions in which the solutions of a pair of primal and dual conic programmings are unique respectively are obtained.

从几何的观点描述一对原始-对偶锥规划可行域的极点，给出原始-对偶非退化的最优解与严格互补的最优解之间的关系，从而得到锥规划最优解唯一的条件。

We analyze especially the equilibrium rules of optimal strategy and its conditions and make a comparative static analysis to the influence of parameters to optimal thresholds after educing investment value function and optimal investment threshold.

在导出企业投资价值函数和最优投资临界值的基础上，着重分析了企业最优投资策略均衡规则及各均衡存在的条件，并就各参数对企业最优投资临界值的影响进行比较静态分析，得出了一些有意义的结论，同时给出了经济解释。

In this paper,an optimum trajectory from perilune to lunar surface is derived in terms of Pontryagin's maximum principle,which is an open-loop way.Then,an optimal nonlinear control law based on an fuzzy neural network is presented,on the basis of the optimum trajectory,due to the nonlinear mapping function of the fuzzy neural network,which is a closed-loop way.

本文根据终端着陆条件和性能指标，以由Pontryagin's极大值原理得出从近月点到月球表面的最优着陆轨迹为基础，给出一种基于模糊神经网络的非线性最优控制策略，使被控系统能够通过模糊神经网络的非线性映射能力实现某种最优的闭环制导控制。

Basically,an optimal nonlinear control law based on an artificial neural network is presented,on the basis of the optimum trajectory from perilune to lunar surface in terms of Pontryagin's maximum principle according to the terminal boundary conditions and performance index.

其主要内容是，根据终端着陆条件和性能指标，以由庞氏极大值原理得出从近月点到月面的最优着陆轨迹为基础，给出一种基于人工神经元网络的非线性最优控制策略，使被控系统能通过神经网络对非线性的映射能力实现某种最优的非线性控制。

By solving management model, the optimal groundwater withdrawal 〓 of the Wuwei Basin in two irrigation periods are obtained,〓 shows that the pumping condition of groundwater in the region can divided into six sub-regions: the pumping sub-region with maximum 〓 is located in the river courses; the sub-region with minimum 〓 in the spring overflow zone; and non-pumping sub-region in the 〓 irrigated districts and desert area, and that the unique way to crese groundwater pumpage is to pirate evapotranspiration in the oundwater evaporation zone.

通过管理模型的运转，获得了武威盆地平水年、枯水年、丰水年三个典型年份各灌期地下水的最优开采方案。按年最优开采模数，区域地下水的开采条件可分为六个区，地下水最强的开采区位于出山河流的主河道、石羊大河和洪水河沿岸，最弱的地区为泉水溢出带，河水谨区和沙漠区下开采地下水。同时表明，袭夺潜水蒸发量可增加地下水的开采量，该区现状条件下增加地下水的开采量的唯一途径是袭夺潜水蒸发带地下水蒸发量。

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。