约束优化

ABSTRACT The infeasibility problem in voltage/reactive power optimization is analyzed in this paper, and this problem is handled with fuzzy constraints to obtain a solution as close as possible to the original space.

分析了电力系统电压无功实时优化控制中出现的不可行问题，通过引入模糊约束，从一个新的角度对不可行问题进行了处理，最终获得尽量靠近原不等式约束空间的解。

The wavelet analytic method can find out global and local singularity and singular points of function by local maximum of wavelet transform of Lagrangian function which is made up of two constraint functions without regard for contents of optimization and constraint situation.

不管优化内容及约束情况如何，由对约束函数两两构成的拉格朗日函数的小波变换求局部极大值，将奇异点求解出来。本文对n维空间的小波变换寻优方法给予了理论上的研究与证明，并给出了具体的求解方法。

Based on the conception of the equivalent stress,the expressions of the equivalent stress was educed. In this optimal design, the macro file for calculating the equivalent stress of arch dam is complied by using the parameter design language of the software, and the optimal design for shape of arch dam using equivalent stress as stress restraint condition is carried out.

本文基于等效应力概念，推导了拱坝有限元等效应力计算公式，将有限元法求得的坝体与基岩交接面上的应力合成截面内力，然后求出对应的线性化应力，并以此应力作为应力约束条件，实现了以等效应力作为应力约束条件进行拱坝体形优化。

By corresponding program manipulation,optimum algo-rithm of unconstrained extrema can be made to apply to constrainedextrema.

通过相应的程序处理，使无约束极值问题的优化算法可用于约束极值问题。

The paper analyses material transportation problem and give the solvable methods; analyses delivery vehicle route problem, and then construct its corresponding mathematical model and present a heuristic algorithm based on C—W algorithm; analyses the optimum scheduling problem of trucks, and then construct its corresponding mathematical model and put forward a new algorithm; analyses the Postal Transportation Problem which will perhaps be used in supply chain of manufacturing system, and then construct its corresponding mathematical model and present an approximation algorithm.

分析了制造系统供应链中供需平衡、供需不平衡、有转运等各种情况下的物资调运问题，给出了求解方法；分析了制造系统供应链配送作业中的配送车辆路线问题，建立了相应的数学模型，提出了一种基于C-W算法的启发式算法，该算法较好地解决了有时间约束的配送问题；分析了制造系统供应链中的货运卡车优化调度问题，建立了相应的数学模型，提出了一种基于表上作业法的求解算法；分析了制造系统供应链中有潜在利用价值的邮政运输方式问题，在详细描述了该问题的基础上，建立了相应的数学模型，提出了一种近似求解算法，该算法较好地解决了邮政运输方式这样的多种物流、多种运输方式，有严格时限和众多外部约束的特大型、复杂、并行的交连系统的计划调度问题。

According to the optimization design and reactor networks design of chemical system engineering, the method which restriction nonlinear programming problems can be transformed to the no-restriction no-linear programming problems was put forward.

针对化工系统工程中的优化设计、反应器网络设计等问题，提出了一种将有约束的非线性规划问题转化为无约束的非线性规划问题的北京化工大学博士学位论文方法，使用本论文提出的改进遗传算法对这类问题进行了求解，提高了计算效率和计算精度，能有效地寻找到全局最优解。4。

We introduce an optimal degree α in the objective function and a satisfactory degree β in the constraint conditions for interval number linear programming problem to transform them into parametric linear programming problem with real coefficients.

通过引入区间数线性规划问题中的目标函数优化水平α和约束水平β将目标函数和约束条件均为区间数的线性规划问题转化为确定型的线性规划问题。

In the algorithm, a three-dimensional permute matrix of binary variables is used to map the problem to the neural network, the energy function including object item, overlap constrained item and timing constrained item is presented, and then iteration procedure is put into practice with the mean annealing equations.

算法用一个三维二值换位矩阵将问题映射为神经网络，建立包含时延约束、重叠约束和优化目标的能量函数，再用均场退火方程迭代求解。

In the algorithm,with a three-dimensional permute matrix of binary variablesubeing used to map the problem to the neural network,the energy function including object item,overlap constrained item and timing constrained item,is presented,and then iteration procedure is put into practice with the mean annealing equation.

算法用一个三维二值换位矩阵将问题映射为神经网络，建立包含时延约束、重叠约束和优化目标的能量函数，再用均场退火方程迭代求解。

By introducing the analytic expressed unit commitment risk constraints into the unit commitment Lagrangian relaxation method, the probability reserve constrained unit commitment problem can be achieved and optimized indeed.

在此基础上，将投运风险度约束以解析表达的方式引入机组组合的拉格朗日松弛法中，有机一体的完成了概率备用约束的机组组合问题，实现真正意义上的优化。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。