查询词典 nonlinear programming

First, the model is set up based on the traditional method of defuzzifying. Then a fuzzy nonlinear pragramming inventory model with fuzzy constraints is established by considering the fuzzy demand as fuzzy constraints. According to the principle of maximal membership grade, the model is transformed into a deterministic nonlinear programming to find out the optimal solutions.

文章首先建立了基于传统逆模糊化方法的库存模型；然后，通过把模糊需求看成模糊约束条件，建立了一个带有模糊约束的模糊非线性规划模型，进而根据最大隶属原则，将模型转化为确定型非线性规划问题，寻求最优解。

This paper presents some approximate algorithms for minimax nonlinear programs with inequality constraint s by using maximum entropy method and algorithms relevant to nonlinear programming with inequality constraint s,and convergence theorems concerning these algorithms are given.

结合极大熵方法与不等式约束非线性规划的有关算法，提出了求解不等式约束极小极大非线性规划的一种近似法，并讨论了算法的有关收敛

Since the objective function of the model is nonlinear, the gradient of which is piecewise constant, the normal nonlinear programming algorithm can not be used.

该模型是非线性的且目标函数的梯度是分段常数，不能采用常规的非线性规划算法进行求解。

A general super memory gradient projection method was generalized to solve the nonlinear programming problems about the nonlinear equality constraints and in equality constraints by using general projection matrix.

利用广义投影技术，将求解无约束规划的超记忆梯度算法推广，建立了求解带非线性等式和不等式约束优化问题的一种超记忆梯度广义投影算法，并证明了算法的收敛性。

By using generalized projection matrix, conditions are given on the scalars in the three term-memory gradient direction to ensure that the three term-memory gradient projection direction is a descent direction. A new three term-memory gradient projection method for nonlinear programming with nonlinear equality and in-equality constraints is presented.

利用广义投影矩阵，对求解无约束规划的三项记忆梯度算法中的参数给一条件，确定它们的取值范围，以保证得到目标函数的三项记忆梯度广义投影下降方向，建立了求解非线性等式和不等式约束优化问题的三项记忆梯度广义投影算法，并证明了算法的收敛性。

Then the optimal control problem was converted into a nonlinear programming problem which was solved by sequential quadratic programming.

利用直接配置方法将最优控制问题转化为非线性规划问题，运用序列二次规划方法求解。

By using the direct parallel method, the optimal control problem is converted into a nonlinear programming problem that is then solved by means of the sequential quadratic programming.

用直接配置方法将最优控制问题转化为非线性规划问题，用序列二次规划方法对转化后的非线性规划问题进行求解。

On this basis, according to historical data, apply ANN and differential simulation method to get the quantitatively correlative relations between each production and its own influence factors, and introduce the new methods of prediction for dynamic indexes with gas-field development (The combinatorial prediction method based on fuzzy comprehensive evaluation, the method of ANN to select optimally combinatorial prediction models and the ANN prediction method based on genetic algorithm).(2) Base on mathematical programming, combine with quantitative economics and techno-economics, introduce economical indexes to establish production"s distribution optimal model, production"s constitution optimal model and measured production"s constitution optimal model, including multi-objective models and five-years models. Upon this, the optimal project for all gas field and each gas-collected factory can be got. Also, introduce the time value of capitals to improve on these models.(3) Base on the optimal solution theory and algorithm theory for the nonlinear programming problem, introduce the SUMT algorithm and genetic algorithm to study how to solve the models, and on the basis of normal genetic algorithm, make use of auto-adaptively modulating method to improve on normal genetic algorithm; Base on algorithm"s convergence theory and calculation"s complexity theory to analyze seriatim SUMT algorithm"s convergence and genetic algorithms convergence, and compare performance with each other.

在此基础上，利用神经网络方法和微分模拟方法根据历史数据得到各分项产量与其影响因素之间的定量关联关系，并引入气田开发动态指标新的预测方法(基于模糊综合评判的组合预测方法、神经网络优选组合预测模型预测方法以及基于遗传优化的神经网络预测方法)；(2)以数学规划为基础，结合数量经济学和技术经济学，引入经济指标建立产量分配优化模型、产量构成优化模型、措施产量构成优化模型、气田开发多目标规划模型以及五年规划模型，进而获得全气田及各采气厂的最优方案，并引入资金时间价值对五年规划模型进行改进；(3)以非线性规划问题的最优解及算法理论为基础，引入SUMT算法以及遗传算法对模型的求解进行研究，并在原有的遗传算法基础上，引入自适应调整方法对遗传算法进行改进；以算法的收敛性理论和计算复杂性理论为基础，逐一分析SUMT算法以及遗传算法的收敛性，并比较三种算法的优劣性。

Chapter3, being the main part of this dissertation, converts nonconvex semidefinite programming problem to nonlinear programming problem, and proves that under transversality condition, strict complementarity condition and the sufficient optimality condition of local solutions, and are equivalent locally.

第3章是本文的主要部分，将非凸半定规划问题转化为等式约束的非线性规划问题，并证明了在局部解的充分性条件及严格互补松弛与非退化条件之下两问题的局部等价性。

Finally, we mainly investigate the following three problems:(1) The problem of portfolio selection with transaction costs is formulated as a bi-objective programming model, but it is no-differentiable and difficult to solve. With a transformation, we can transform the nondifferentiable nonlinear programming problem to a linear program.

然后主要做了如下三个方面的工作：（1）针对带交易费的最优证券组合选择问题可以表示为一类不可微非线性规划模型，但其求解比较困难的特点，提出了一种新的化简方法，一次变换即可将该类不可微非线性规划模型转化为一个线性规划模型，不仅简化了求解过程，而且还减少了最终的线性规划问题的变量个数。

Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势，并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。