最优条件

In the POPF model, wind farm is modeled by the probabilistic wind farm model considering the reactive power-slip characteristic, and the inequality constraints include not only the unit output constraints, the ratio constraints, the voltage constraints and the line current constraints but also the reactive compensation capacity constraints in wind farm and the system climbing capacity constraints per minute. By introducing the NCP function, the KKT conditions of POPF system are transformed equivalently. Based on the transformed nonsmooth nonlinear algebraic equations, the FOSMM is used to determine the POPF model expressed by the numerical characteristic of variables. The model includes nonsmooth functions, so it can be solved by a semismooth Newton-type method based on the subdifferential.

概率最优潮流模型中，风电场采用考虑无功功率—滑加热器差特性的风电概率模型，不等式约束中除了机组出力约束、有载调压变压器变比约束、电压约束和支路电流约束，也考虑了风电场无功补偿容量约束、系统的分钟级爬坡能力约束；使用非线性互补函数将概率最优潮流的KKT条件转化为一组包含有不光滑函数的非线性代数方程组，然后基于一次二阶矩法确定了以待求量的数字特征表示的POPF模型，由于该模型包含不光滑函数，因此采用基于次微分的半光滑牛顿型方加热器法求解。

Optimization; parametric quadratic convex programming; set-valued map; directional derivative; linear stability; solution-set map; parametric linear programming; error bound; subdifferential map; lower locally directionally Lipschitzian; upper locally di-rectionally Lipschitzian; locally directionally Lipschitzian; convex function; quasidiferential; kernelled quasidiferential; quasi-kernel; star-kernel; star-diferential; Penot diferential; subderivative; superderivative; epiderivative; set-valued optimization; set-valued analysis; subdifferential; optimization condition;ε-dual; scalization; generalized subconvexlike-cone;ε-Lagrange multiplier

基础科学，数学，运筹学最优化；集值映射；方向导数；线性稳定；最优解集映射；参数线性规划；参数凸二次规划；误差界；次微分映射；下局部方向Lipschitzian；上局部方向Lipschitzian；局部方向Lipschitzian；凸函数；拟微分；核拟微分；拟核；星核；星微分； Penot-微分；上导数；下导数； Epi-导数；集值优化；集值分析；集值映射的次微分；最优性条件；广义锥次类凸；ε-对偶；数乘；ε-Lagrange乘子

The problem has been studied from two sides, firstly, from the viewpoint of applicability, based on the development strategic objectives of the oil company, with the aim to unify the exploration and extraction decisions of the resources in an integrated framework, and integrate the macro economic and technical objectives with micro economic and technical models of an oil well, an integrated non-linear dynamic optimal control model has been constructed, the objective is the benefit maximum of the exploration and extraction of the resources, and the optimalstrategies are obtained by changing the problem into a non-linear mathematical programming problem, on the other hand, from the more macro level, based on the analysis of the characteristics of the exploration and extraction activities of oil and gas resources, a conclusion is easily deduced that the procedure is full of randomicity, then discovering procedure of oil deposit is proved to be a Poisson process, and the reserves process is a supermartingale process, so the model of exploration discovery rate and the reserves model could be constructed.

其次从相对更宏观的层次上，通过对油气资源勘探与开发的特点分析，认为具有很强的随机性，证明了勘探活动发现油气藏的过程为一泊松过程，所发现的油气藏储量为一上鞅过程，在此基础上，建立了油气藏勘探发现率模型及储量模型，在油气价格服从几何布朗运动条件下，以油气开采收益最大化为目标，建立了一个油气资源勘探与开发的随机最优控制模型，采用动态规划方法得到了值函数的HJB方程，并针对方程的特点，以及方程及其变量所对应的经济学意义，对最优策略的求解进行了一些讨论。

Fisher criterion assumes that each sample has a unimodal,symmetric distribution for each class.However,when the training sample size is large and their distributions are multimodal or skewed,the definition of classical Fisher criterion can not correctly reflect the distribution of the data in the sample space,in that case,the sets of discriminant vectors are not optimal virtually.

Fisher准则函数的前提条件就是假设每类样本数据满足单峰高斯分布，即各类样本在模式空间的分布近似椭球状，但是当训练样本数据较多且呈多峰分布时，传统的Fisher准则函数并不能准确反映样本数据的分布，显然基于Fisher准则函数的线性判别分析得到的最优判别矢量集也不是最优的。

The contents include the layout optimization models of the difform graph elements, the optimality conditions , the optimality functions, the optimization algorithms for the subproblems, the algorithms for the non-overlap constraints and the unproved genetic algorithm.

主要包括不同图元的布局优化模型、子问题的最优性条件、最优性函数和优化算法、判断不干涉性算法及改进的遗传算法。

And then the optimal incentive mechanism and its characteristics are given by optimization first-order condition when employees are risk neutral or risk evadable.

通过最优化一阶条件分别求解员工风险中性与风险规避时的最优激励机制，并分析最优激励机制的特点。

For a class of nondifferentiable generalized fractional programming problems with the norm \$‖Bx‖\-p\$ in the objective function involving, a new incomplete Lagrange function is given, and the saddle point optimal criteria are proven by using the existing necessary optimality conditions, under the assumptions of the class of generalized (\$F,α,ρ,d\$)-convexity.

对于一类目标函数中含范数‖Bx‖p的非可微广义分式规划，给出了一个新的非完全Lagrange函数，并利用已有的最优性必要条件，在一类广义-凸性的条件下，证明了鞍点最优性准则。

The result pointed out that the vertical distribution of foliage for each species was different,however,generally speaking,the foliage in upper crown (0.3CL) for broad-leaved species in natural secondary forest took a small percentage,about 10%;in middle or middle lower of the crown(0.4CL to 0.8CL) the branches here took the majority percentage of whole foliage,almost 60%to 75%;but in lower crown(0.8CL),there was about 10%of whole foliage.(5)The interspecies competition of trees in secondary forest was expressed by Hegyi competitioin index,and the active competitor was calculated by the competition zone radius and the tree position,DBH,and distance in the zone,it was not all competitors in tranditional calculation.The study introduced crown area overlap index to describe the crown competition between subject tree and its competitors,furthermore,the crown area was classified into 5 levels with a method of equal crown projection area,therefor,the resulting crown area overlap index showed more realities of existing stand conditons.(6)Based on the theoretics of multiply divide,the spatial strcture optimizing model of secondary forest stand selective thinning was developed by diversity mingling,aggregation index,competition index and crown area overlap index,also designed 10 constraint conditions which were related to forestry meanings,the objective function was solved by the implicit enumeration method with LINGO 9.0,using 0-1 integer programming.

并且得出，每个树种在树冠内相对高度上的叶量的垂直分布是不同的，天然次生林阔叶树种的叶量在树冠的上部(0.3CL以下)所占比例很小，约占10%左右；在树冠的中部以及中下部(0.4CL～0.8CL)，叶量所占比例最大，几乎集中了整个树冠60%～75%的叶量；而在树冠的下部(0.8CL以下)，几乎占很少的叶量，大约10%左右。5、采用Hegyi竞争指数来表现次生林内林木的竞争关系，并且根据竞争圈的大小和林木在竞争圈内的分布位置、大小与距离来计算有效的竞争木，并不是传统意义上的全部竞争木；本研究提出用树冠叠加指数来表示林木与周围树木的树冠竞争情况，并采用等树冠投影面积法把树冠分为5级，这样计算的树冠叠加指数更加与现实林分相符。6、本研究基于乘除法的思想，用多样性混交度、聚集指数、竞争指数和树冠叠加指数构建了天然次生林择伐空间优化模型，设计了10个与林学意义相一致的约束条件，并采用0-1整数规划的思路，在LINGO9.0软件中使用了隐枚举法对目标函数求得最优解。7、以M702标准地为应用实例，具体计算出了每株采伐木，经过择伐后，目标函数值按模型设计的要求发生了极大的改变，增加了5倍多，说明了最后这个解的优良性，满足了设计的要求。

A multi - agent corporate model including the firm owner , the manager and the auditor of the corporate is analyzed in the paper , the conclusions are : educing the optimum solution of model which could prevent the manager and the auditor becoming collusive or skulked ; clarifying the relationship between monitoring of the firm owner and working of the auditor , and illustrating the behavior combination of optimum solution ; further analyzing the relationship among monitoring degree , punishment of auditor and the auditor risk .

论文采用所有者经理人审计师多代理人模型为基础进行分析，主要成果是：得出能够防止共谋和不努力工作的模型最优解集合；通过因素分析阐明审计师工作努力程度与所有者监控力度之间的直接关系，以及审计合约最优解的行为策略组合及其制定顺序；引申分析所有者监控力度与审计风险、审计师惩罚力度之间的关系；成功的将模型从单一期间扩展到多期间情况，并且将审计师声誉等非现金收入形式的效用影响加入到模型当中；通过分析审计实务中的所有者行为特征说明所有者对审计师工作实施监控的必要性，以及实现该监控所需的条件。

A multi-agent corporate model including the firm owner, the manager and the auditor of the corporate is analyzed in the paper, the conclusions are:⑴educing the optimum solution of model which could prevent the manager and the auditor becoming collusive or skulked;⑵clarifying the relationship between monitoring of the firm owner and working of the auditor, and illustrating the behavior combination of optimum solution;⑶further analyzing the relationship among monitoring degree, punishment of auditor and the auditor risk. Adapting the model from a single term to serial terms, and adding the non-monetary utility of auditor--- reputation into the model;⑷describing behavior of the firm owner in reality and clarifying the necessity of monitoring by the owner and the environment improvements it needs.

论文采用所有者－经理人－审计师多代理人模型为基础进行分析，主要成果是：⑴得出能够防止共谋和不努力工作的模型最优解集合；⑵通过因素分析阐明审计师工作努力程度与所有者监控力度之间的直接关系，以及审计合约最优解的行为策略组合及其制定顺序；⑶引申分析所有者监控力度与审计风险、审计师惩罚力度之间的关系；成功的将模型从单一期间扩展到多期间情况，并且将审计师声誉等非现金收入形式的效用影响加入到模型当中；⑷通过分析审计实务中的所有者行为特征说明所有者对审计师工作实施监控的必要性，以及实现该监控所需的条件。

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。