查询词典 integer linear optimization

After having an analysis on uncertain optimization problems, the thesis introduces the research results of Ben-Tal and Bertsimas, and mainly has a detail discription on robust linear programming and robust discrete optimization.

论文在对不确定优化问题分析的基础上，对鲁棒优化研究的代表人物Ben-Tal和Bertsimas的研究成果进行了总结，重点对鲁棒线性规划和鲁棒离散优化进行了阐述。

This algorithm constructs a set of linear equations. As a result, the relation of the reconstructed design variables and the original design variables is derived, the variable number of optimum design is decreased from m + n + 2 to 4, and the equality constraint optimization problem is converted into reduced- dimension no equality constraint optimization problem.

该算法通过构造一组线性方程，得到了由重构设计变量到原设计变量的映射关系，使优化设计的变量由原来的m + n + 2个减少到4个，并将有等式约束优化问题转换成降维的无等式约束优化问题。

In order to meet the discharge norm of the contamination concentration limit, zone generalized predictive control is adopted which transforms the conventional quadratic objective of the MPC into a linear programming with soft constraints; besides, considering the wastewater treatment plants energy-saving targets, a multi-objective predictive control is formulated and finally hierarchical multi-objective optimization algorithm is applied for on-line optimization solution.

根据污水处理过程的实际要求，为了满足氮浓度的排放标准区间要求，研究了污水处理过程的区间广义预测控制策略，把预测控制的常规二次目标转化为带软约束问题的线性优化问题；同时考虑到污水处理的能耗，在出水水质目标之上建立了能耗最小目标，得到了污水处理的多目标预测控制，最后采用分层多目标优化算法进行在线优化求解，得到污水处理过程的多目标预测控制。

To solve the optimization problems, apply the DCA （difference of convex functions algori-thms） which is a general framework for nonconvex continuous optimization. This leads to a successive linear programming algorithm with finite convergence.

为解决优化问题，应用了突函数差异算法（difference of convex functions algorithms，DCA）这一进行非突连续优化的通用框架，致使连续线性规划算法有限收敛。

The third chapter constructs a derivative-free optimization method for linear equality constrained optimization problem and gives the proofs of the global convergence.

第三章提出了线性等式约束最优化问题的非单调无导数优化算法，并证明了这种算法的全局收敛性。

The linear multi goals optimization mathematics model is adopted, and the optimization design on PVC heat stabilizing system is carried out.

采用线性多目标优化数学模型，对PVC多元复合热稳定体系的配方进行优化设计

First, an optimization algorithm based on the constant linear velocity mathematical model of the camshaft was proposed according to the least square method to finish the curve optimization and simulation, and the fluctuations of the speed and acceleration curves were reduced.

根据凸轮轴恒线速加工的数学模型，提出一种基于最小二乘法的速度优化算法，对加工过程运动曲线进行优化仿真，得到了波动较小的速度曲线并减小了联动轴加速度的跳动。

Based on modern optimization theory and optimal control theory, this dissertation studies some questions as follows:1. The optimization model of parameter identification of three-dimensional geologic history numerical simulation, algorithm and its applicationGeologic history numerical simulation is a basic content of basin numerical simulation, and the porosity is the major parameter in the evolution and development process of oil-bearing basin. According to the sedimentation and burial mechanism, the physical and chemical principles of oil geology, the mudstone porositys non-linear parabolic partial differential equation has been established.

本文应用现代最优化及最优控制理论，对如下一些问题进行了研究： 1、三维地史数值模拟的参数辨识优化模型、算法及应用地史模拟是盆地数值模拟的一个基础性的研究内容，地层孔隙度是含油气盆地地史演化发育过程中的重要参数，根据地层沉积埋藏机理和石油地质的物理化学原理，通过引入数学物理方程概念，建立了泥岩三维孔隙度场方程，根据问题的特点，给出了方程的定解条件，对方程的动边界也给出了处理方法，并且证明了解的存在性与惟一性，在此基础上建立了以当今实测数据为拟合准则的三维地史数值模拟的参数辨识优化模型，这是一个含有二阶偏微分方程约束的泛函极值问题。

Based on the information-scheduling models and time-delay models of networked control system, state-estimate-based and parity-relation-based fault diagnosis approaches and passive fault-tolerant control such as integrity control for networked control systems are presented; 2 we presented new models, Quasi T-S models, for linear and nonlinear networked control systems with random time delays, and the corresponding fault diagnosis and fault-tolerant control approaches; 3 With all these fault diagnosis theory presented, active fault tolerant control approaches are developed directly for networked control systems; 4 Some analysis, design and optimization theory for networked control systems are presented., such as robust control, LQ guaranteed cost control, modeling and control for stochastic networked control and integrated optimization etc.

给出了诸如网络化控制系统的鲁棒控制、LQ保成本控制、联合优化设计、随机网络化控制系统的建模与控制等方面的结果。

The existence theorem of generalized weak efficient solutions with respect to variable, cone for a linear G〓teaux differentiable mapping is proved with set valued mapping fixed-point theorem and the relation between a vector optimization and a variational inequality problem. The existence of weak efficient solutions for multi-objective convex vector optimization is characterized.

建立映射在线性G〓teaux可微条件下关于可变锥的广义弱有效解的存在性及多目标凸向量优化问题在G〓teaux可微条件下弱有效解的特征，利用集值映射不动点定理及向量优化与变分不等式的关系证明线性G〓teaux可微锥凸映射关于可变锥的广义弱有效解的存在性定理。

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