Information about the optimality conditions, if any.
有关优化条件的信息(如果有的话)。
With these concepts, integral optimality conditions for global optimization are obtained.
利用这些概念，得到了总极值的最优性条件。
Finally, we study feasibility and optimality conditions for optimization problems with equilibrium constraints.
第三部分，研究平衡约束优化问题的可行性和最优性条件。
Optimality conditions for vector optimization problem to attain strictly efficient solutions are considered in the paper.
本文研究向量优化问题在严有效解意义下的最优性条件。
The system which is employed in this method is equivalent to the optimality conditions and not to the central path conditions.
该方法所采用的系统不是等价于中心路径条件，而是等价于最优性条件本身。
The optimality conditions of (super)-efficient solution of set-valued optimization problems are presented in the sense of generalized gradient.
并给出集值优化问题的超有效解在广义梯度下的最优条件。
It is proved that the optimality conditions are also sufficient if the objective function is a convex function of the plastic limit bending moment.
当目标函数是塑性极限弯矩凸函数时，证明了这一最优性条件也是最优解的充分条件。
The existence of a unique optimal control, the optimality conditions of first order, and the synthesis of the optimal feedback law a re investigated.
证明了最优控制的存在唯一性，给出了一阶最优性条件，讨论了最优反馈的合成。
Finally, the optimality conditions for vector optimization problems with set valued maps with equality and inequality constraints are obtained with it.
最后，利用择一性定理，获得了含不等式和等式约束的广义次似凸集值映射向量最优化问题的最优性条件。
By the alternative theorem, the optimality conditions of vector extremum problems with generalized inequality constraint are established in linear space.
运用此定理，在线性空间中建立了带广义不等式约束的向量极值问题的最优性条件。
Using the alternative theorem, the optimality conditions of vector extremum problems with generalized constraint are established in ordered linear space.
在序线性空间中，利用次似凸映射的择一性定理，得出具有一般约束的向量极值问题的最优性条件。
The paper studies the nonlinear programming problem with linear constraints. Based on its optimality conditions, a neural network for solving it is proposed.
研究了线性约束的非线性凸规划问题，基于最优性的充要条件，提出了求解它的一个神经网络。
Then, we define a class of tangent cone F convexity in terms of the tangent cone directional derivative, and prove the sufficient optimality conditions for (VP).
然后利用正切锥方向导数定义一类正切锥F凸函数类，并给出了（VP）正切锥真有效解的充分性条件；
As to the problem of packing balls, a smooth model is given and the corresponding optimality conditions are established by the optimality theory of variational analysis.
对球体图元的装箱问题直接给出光滑的优化模型，依据变分分析的最优性理论建立了最优性必要条件。
Transferring this problem into a corresponding multiobjective programming, the optimality conditions of minimal perturbation constraints nonlinear programming are given.
考虑当目标函数在约束条件下的最优值作扰动时，使各约束作极小扰动的非线性规划问题。
In this paper, a few optimality conditions for strictly efficient points of set valued optimization are presented by using the concept of contingent derivatives of set valued mad.
该文利用集值映射的三种切上导数概念，给出了向量集值优化问题中严有效点的最优性条件。
Based on the theory of differential games, this paper establishes the pursuit and evasion resistance model in 3d space and gets its optimality conditions and the optimal strategy of resistance.
针对一类追逃对抗问题，基于微分对策理论，建立了三维空间中的追逃对抗模型，进而得到了最优性条件和最优策略。
This dissertation is devoted to the study of sup-type function on non-compact set and the first-order optimality conditions for generalized semi-infinite programming with inequality constraints.
本文主要研究了非紧致集上的极大值函数和带不等式约束的广义半无限规划。
New optimality conditions of the integral global minimization are applied to characterize global minimum in functional space as a sequence of approximating solutions in finite-dimensional Spaces.
本文用有限维逼近无限维的方法来讨论函数空间中的总体最优化问题。
Comprehensive treatment of optimality conditions, Lagrange multiplier theory, and duality theory. Applications drawn from control, communications, power systems, and resource allocation problems.
对最适化条件、拉格朗日乘数理论以及对偶理论的综合论述，以及在控制、通信、动力系统和资源分配问题上的应用。
This paper presents a novel theory and model of short-term optimal operation for cascaded hydroelectric stations, and gives the optimality conditions for Cascaded plants short-term optimal Operation.
本文提出了一种新的梯级水电站短期优化运行的数学模型，它包括两个子模型：周期平稳日优化运行模型和过渡日优化运行模型。
Finally, optimality necessary and sufficient conditions for nonlinear convex semidefinite programming are proved.
并给出了非线性半定规划的最优性必要和充分条件。
It is discovered that convergence rate with asymptotical optimality for the proposed EB test can arbitrarily approach to 1 under certain conditions.
并发现对所提出的EB检验，在某些条件下，具有渐近最优性的收敛速率，能够任意接近于1。
Sufficient conditions for optimality of reinsurance contract are given for arbitrary risk measure within the restricted class of admissible contracts.
在一个限制条件函数类中，给出了在较为一般的风险测量函数下，最优再保险函数的充分条件。
Under the conditions of Partial ic-convex like Maps, optimality necessary conditions of weak efficient solutions for vector optimization problems with equality and inequality constraints are obtained.
在部分生成锥内部凸-锥-凸映射下，得到了既有等式约束又有不等式约束的向量优化问题弱有效解的最优性必要条件。
Most traditional optimization theories solve the problem on the basis that the known conditions are unchanged, which may lose their optimality in most cases with varying conditions.
经典的优化理论大多是在已知条件不变的基础上给出最优方案（即最优解），其最优性在条件发生变化时就会失去其最优性。
The asymptotically optimality of the EB estimators are obtained under some suitable conditions, and the special cases and the generalizations of the model are shown.
在适当的条件下证明了EB估计的渐近最优性，给出了模型的特例和推广。
The asymptotically optimality of the EB estimators are obtained under some suitable conditions, and the special cases and the generalizations of the model are shown.
在适当的条件下证明了EB估计的渐近最优性，给出了模型的特例和推广。
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