查询词典 integer linear optimization

A necessary and sufficient condition for the existence of guaranteed cost control is derived. Furthermore, it is shown that this condition is equivalent to the solvability of a system of linear matrix inequalities, and its solution provides a parameterized representation of guaranteed cost controllers. Based on that, the design of the optimal guaranteed cost controller is formulated as a convex optimization problem, which can be solved by the existing convex optimization techniques.

通过采用线性矩阵不等式的方法，导出了存在保性能控制律的一个充要条件，进而，证明了该条件等价於一组线性矩阵不等式的可解性问题，并用这组线性矩阵不等式的可行解给出了保性能控制律的一个参数化表示。

Based on the in-depth analysis and discussion the technological process and the basic principles of the alumina production process in Bayer, three mathematical models of Bayer material balance computation were proposed for practical engineering applications in different production technology, complex engineering computing problems were first converted into non-linear multi-objective optimization problems, and the above optimization algorithms were applied to solve them and achieved excellent results.

文中讨论了各种被引入的优化算法与粒子群优化算法的融合方法与步骤问题，并给出了混合粒子群协同优化算法的收敛性定理证明。

Three optimization algorithms such as linear programming, complex algorithm and genetic algorithm, corresponding to three kinds of models were used to solve the optimization problem according.

针对装置不同的数学模型我们分别采用线性规划、复合形调优法、遗传算法作为优化方法，又对复合形调优法、遗传算法进行了相应的改进得到了相应的计算结果。

On the side of optimizing reactive compensation, a new concept of power-impedance quadrature and a new method of determining the points of reactive compensation according to power-impedance quadratures are presented. Combined with the bus voltage-reactive sensitive coefficients and the linear arithmetic of reactive optimization, the arithmetic and model of distribution network reactive optimization are achieved.

在无功补偿的优化配置方面，提出了功率阻抗矩的新概念以及按等功率阻抗距确定无功补偿点位置的新方法，并结合节点的电压无功灵敏度系数以及无功优化的线性化方法，实现了配网无功优化的算法和模型，算例表明了方法的有效性。

This course offers an introduction to primary convex analysis, linear programming, non-linear programming, dynamic programming, multi-objective programming, multi-level programming, calculus of variations, and optimal control, which are the optimization methods commonly used in economics and finance.

课程内容简介：本课程介绍凸分析基础、线性规划、非线性规划、动态规划、多目标规划、多层规划、变分法、最优控制，这些都是西方经济学、金融学中常用的最优化方法。

Linear solvation energy relation was firstly introduced in the paper, and the method and step of gaining the special parameters of solvent and solute were introduced in detail, and these special parameters were used to selection and optimization of extractive agent in extractive distillation. The model of predicting activity coefficient at infinite dilution was established by linear solvation energy relation. By the above theory, several candidate solvents were selected to separate C5 fraction, and by experiment of vapor-liquid phase equilibrium at atmosphere pressure, the mixture of N-methyl-pyrrolidone including 4% water was used extractive agent of separating C5 fraction. Then binary vapor-liquid phase equilibrium of the some compound in C5 fraction and N-methyl-pyrolidone were determined at atmosphere pressure and correlated by NRTL equation. Isoprene being objective compound, experiments were operated in the laboratory-scale column; the processes were simulated by RadFrac model in ASPEN PLUS. And by the combination of experiment and simulation, the new process of separation of C5 was established.

本文首先对线性溶剂化能关系进行了分析介绍，也介绍了采用溶剂化能关系得到溶质溶剂特性参数的方法步骤，并将这些参数用于萃取精馏萃取剂的选择与优化；也通过线性溶剂化能关系式建立无限稀释活度系数预测模型，取得了一定的预测精度；将通过上述方法初选的溶剂进行了常压汽液平衡的测定研究，通过实验研究选定含水4%的N-甲基吡咯烷酮溶液做为C5分离的萃取剂，测定了大量N-甲基吡咯烷酮与C5组分的二元平衡数据，并进行关联计算；以异戊二烯为目标产物在实验室规模的精馏塔内进行了C5分离的实验研究，取得大量塔内数据；通过选用合适的热力学模型，采用ASPEN中RadFrac模块对分离过程进行模拟研究，通过实验与模拟相结合，建立了C5分离的新工艺，为将来的工业化打下了坚实的基础。

The experimental results show that for most continuous optimization problems, the strategy of concave function gains an advantage over the linear strategy, while the linear strategy outperforms strategy of convex function with the identical initial and final weights.

试验结果表明，对于多数连续优化问题，在初始权值和最终权值相同的情况下，凹函数递减策略优于线性策略，而线性策略优于凸函数策略，凹函数递减策略能够在不影响收敛精度的情况下较大幅度地提高粒子群算法的收敛速度。

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。

According to invalidate transform between non-linear constraining function and linear constraining function, and the disable partial differential coefficient of first order for objective function, GA has been chosen for the built mathematic mode, also, the conception of GA, its computing process, features, and operating parameters are introduced irrespectively in this article, meantime, a managerial software for oil pipeline's optimization is programmed.

根据优化模型中的非线性约束函数无法化为线性约束函数，目标函数无法求一阶偏导数的特点，本文从众多优化方法中选择遗传算法对所建立的数学模型进行求解，并对遗传算法的概念、计算步骤、特点、运行参数等逐一进行介绍，并编写了输油管道优化运行管理的软件。

Because of the limitation of ADAMS itself, ADAMS can only optimize linear parameters, and the optimization results are linear too.

由于ADAMS软件自身的限制，只能对线性参数进行优化，所得的优化结果也为线性参数值，更为重要的是，单一激励下的优化结果并不适用于其他激励。

Many will continue to choose to live in duality and in conflict.

许多人将继续选择活在二元对立性和冲突中。

I find that students of the University of Physical Education all wear sportswear at first sight.

我发现：体育大学的学生乍一看，都是穿运动衣，大家都一样