约束

In this paper, we study characterizations of admissible in the general linear model Y, Xβ,ε|ε～(0,σ~2∑. We demonstrate that an admissible linear estimator is as the conditional generalized ridge-type estimation in the no constraint, equality constraint, inequality constraint general linear model. We study the superiority of this conditional generalized ridge-type estimation, and prove that it is superior to the restricted best linear unbiased estimator in terms of mean squares. We also give the choice of the matrix K.

本文主要研究了一般线性模型Y，Xβ，ε|ε～(0，σ~2∑中参数估计的可容许性特征，得到了一般线性模型在无约束，有等式约束及有不等式约束下，可容许线性估计均具有条件广义岭估计的形式的结论，并且讨论了这一条件广义岭估计的优良性，证明了其在均方误差和均方误差矩阵意义下都优于约束最小二乘估计，给出了参数矩阵K的选取方法。

The first model is the optimization problems with s linear objective function subject to a system of fuzzy relation equations and a system of fuzzy relation inequalities, which are solved by using path method and 0-1 integer programming with branch and bound method.

第一种为约束为模糊关系方程和模糊关系不等式的具有线性目标函数的优化问题，采用路径法及0-1整数规划中的分枝定界法对其求解；第二种为约束为模糊关系方程和模糊关系不等式的格线性规划问题，采用直接法、路径法及0-1整数规划法对其求解；第三种为模糊关系不等式为模糊的，即约束中有一个可接受的容差，采用容差法及正负理想法对其求解；第四种是一种新的可能性模糊线性规划问题，采用模糊数大小比较法、"切片-粘贴"法及正负理想法，并设计了随机模拟的遗传算法对其求解；第五种为期望值模型，利用期望值将其转化为清晰约束系数的线性规划问题的方法。

Based on analyzing the d-δ commutation relation for the linear stationay differential constrained systems and affine differential constrained systems, the relationship between noncommutator of differentiation and variation and nonholonomicity of the differential constraints is briefly proved by means of Frobenius integrability theory.

文中以微分约束的Frobenius可积性理论为依据，在分析线性稳定微分约束系统和仿射微分约束系统的d-δ对易关系基础上，简要论证了微分与变分的非对易子与微分约束的非完整性之间的关系。

In this paper, we focused on the Thermal Power Generator unit commitment optimization. A mathematical model is presented and consuming minimization of generator is chosen for its objective function, with the power balance, generation capacity limits, maximum allowable start and stop times limits and time limits taken into consideration. The unit commitment optimization is constrained minimization problem.

本文主要对火电机组优化组合问题进行了研究，提出了机组优化组合的数学模型，该模型以发电总成本最小为目标函数，同时考虑了功率平衡约束、机组输出功率上、下限约束，机组最大允许启停次数和时间约束等约束条件。

At each database sites, sampling algorithm and constrained Eclat algorithm are implemented. And the local frequent itemsets satisfying constraints are developed. They then are combined to global frequent itemsets that satisfying constraints based on learning from induction.

算法在各数据站点上对一个较小的样本采用基于约束的Eclat类算法挖掘局部约束频繁项集，用归纳学习的方法归并所有局部约束频繁项集产生全局约束频繁项集。

Then we derive first-order necessary optimality conditions for optimization problems with affine variational inequality, which joint upper-level feasible region Z includes a linear inequality constraint and a linear equality constraint.

其次，我们研究Luo的带仿射变分不等式约束优化问题，其中上水平约束Z不仅含有线性不等式约束，而且含有等式约束情形时的一阶最优性条件，同时还给出了Z的切线锥的表达式。

Not considering the restriction of the depot s transporting ability in the existing achievement of emergency dispatch, consequently, this chapter establishes a sole-resource optimized dispatch model aimed at "the shortest dispatch time" which includes the constraint of transporting ability under time restriction firstly. Moreover, the chapter deduces the algorithm of the model by mathematical induction step by step. Secondl y, it simplifies the former model and gives a simpler sole-objective model and corresponding algorithm including the constraint of transporting ability. At last, on the basis of the improved model, this chapter discusses a two-phase programming model and a multi-objective programming model which are aimed at "the shortest dispatch time" and "the fewest number of mobilized depots" including the constraint of transporting ability under time restriction.

由于现有应急调运的研究成果中没有考虑到各物资供应点受运输能力的约束，因此本章首先建立限制期内以"应急调运时间最短"为目标且含有运输能力约束的单物资调运优化模型：并利用逐步递推法推导出具体的求解算法；然后，进一步地将此模型及算法进行简化，建立更加简单的含有运输能力约束的单目标优化模型：并且讨论其算法；最后，在改进的优化模型的基础上，讨论限制期内含有运输能力约束且以"调运时间最短"、"出动的供应点数目最少"为目标的双层规划及多目标规划的优化模型及解法。

To inequality constraint s, a check procedure and a penalty function procedure are proposed, and equality constraints are dealt with by a procedure of solving equations in which tear equations may be converged by an iterating way or a penalty function way.

在无约束非线性规划问题全局优化的模拟退火算法基础上，进行有约束问题求解的进一步探讨，对不等式约束条件提出了检验法和罚函数法的处理方法，对等式约束条件开发了罚函数法和解方程法的求解步骤，并进行了分析比较，从而形成了完整的求取非线性规划问题全局优化的模拟退火算法。

For inheriting the dynamic constraint information of the multibody simulation model, topological configuration of the multibody simulation model was built, and simplified constraint form was put forward with the topological mapping of the multibody simulation model in the heterogeneous systems. To transform the information of the multibody simulation model, the offset matrix which transformed the location and orientation of constraints and the matrix which transformed the location and orientation of parts were computed.

利用多体动力学仿真模型在异构系统的拓扑映射，建立多体动力学仿真拓扑构型，提出仿真模型动力学约束的约束简型表示法，实现动力学约束信息的关联继承，并通过约束偏置变换矩阵和构件位姿变换矩阵的求取，驱动多体动力学仿真模型构件和约束位姿的自动调整，实现多体动力学仿真模型的动态转化。

Some key factors of 3-D constrained model were systematically researched with the combination of seismic and geological method. The factors include trajectory constrain by vertical borehole, laterally controlling constrain by geological horizon, faulting block constrain, stratigraphic sedimentary pattern and contact correlation.

运用地震、地质综合分析方法，系统地研究了测井资料垂向井孔轨迹约束、地质层位横向控制约束、断块约束、地层沉积模式和接触关系约束等三维约束模型的关键要素。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。