查询词典 optimality

Under the G-differentiable ,using the alternative theorem of generalized subconvexlike map and other some conclusions in locally-convex Hausdorff topological spaces, the optimality conditions of vector extremum problems with set constraint are established.

在局部凸Hausdorff拓扑空间中，在G-可微的意义下，运用广义次似凸映射的择一定理和其他一些结论，建立了带集合约束的向量极值问题的最优性条件。

We improved the merit function in quasi-feasible interior point method and used the exponential function that is the more general function to prove the existence of one order optimality point in feasible problem. We discussed the inner and outer algorithms and made the convergence theorem.

在算法中改进了拟可行内点法中的值函数，使用指数形式的更一般函数，用此值函数证明了可行性问题的一阶最优性点的存在性，并通过对内部算法及外部算法的讨论得到了算法的收敛性定理。

The Model of Survival Probability in a threat environment is the optimality criteria of flight path.

威胁环境的生存概率模型是飞行路线优化的评价标准。

For a class of generalized fractional programming whose objective function is composed of infinite fractions,the saddle-point type optimality criteria are proven by using the existing necessary conditions,under the assumption of the class of B--invexity.

对于一类目标函数中有无限个分式的广义分式规划，给出一个不完全Lagrange函数，并利用已有的最优性必要条件，在B--不变凸性的条件下，证明了鞍点最优性准则。

Furthermor, we consider their nondiferentiable situation, we define nonsmooth univex functions for Lipschitz functions by using Clarke generalized directional derivative and study nonsmooth multiobjective fractional programming with the new convexity. We establish generalized Karush-Kuhn-Tucker necessary and sufficient optimality condition and prove weak, strong and strict converse duality theorems for nonsmooth multiobjective fractional programming problems containing univex functions.

而且，本文利用Clarke广义方向导数针对Lipschitz函数在原来一致凸函数概念的基础上定义了不可微的一致凸函数，并利用这类新凸性，我们研究了非光滑多目标分式规划，获得了广义Karush-Kuhn-Tucher最优性条件；弱对偶定理、强对偶定理和严格逆对偶定理。

The stability problems are analyzed and discussed. The optimal control problem is formulated to determine the necessary conditions for optimality in networks. Three theorems about the properties of the steady state-costate solution in Hamilton function are confirmed leading to the natrual meaning and the optimal policy which can be implemented in practice. In chapter Ⅴ, the methods for nonstationary simulation of computer networks are discussed.

第四章表述了计算机通信网动态特性研究的主要数字方法；提出了排队与随机存取机制、网络链路传输和节点分流的状态空间模型，并作了稳定性研究；应用最优控制理论得到网络最优控制的必要条件，证明了哈密尔顿函数协状态变量的稳定解性质，据此研究分析了网络最优控制的本质意义及实现途径，并给出计算及建模实例。

They are as following: to establish the selection method of the slaving designed quality functions according to the interrelationship among designed quality functions; to construct the measurement functions of the optimality robustness with the hypersurface characteristics around the current iterative point of designed quality functions.

具体地，根据设计性能函数之间相互关系给出了处于支配地位设计性能函数的选择方法；利用设计性能目标函数在当前迭代点附近的超曲面特征，构造设计性能目标函数的最优性健壮度量函数；按照系统有序化设计模型的最优解应同时具有可行性健壮与最优性健壮的要求，通过计算设计性能目标函数与约束函数对设计变量的波动与非设计参数的波动的一阶敏度来确定系统有序化设计模型中的健壮参数；并以此为基础建立了进一步考虑非设计参数波动对设计变量波动有影响的后健壮分析方法。

However, with the exploitation of the ocean and the development of ocean administration, when in the face of new environments and the inadequacy of information, the government could not distribute the ocean resources to get to the Pareto optimality through its visible hands, which may cause the inconsequence or deficiency of the supply of the public marine environment production.

但随着海洋开发与海洋管理的日益拓展和深入，面对环境的不确定性与信息的不完全性，政府自身的局限性使其难以通过"有形的手"使海洋资源的配置达到帕累托最优，导致海洋环境公共产品出现供给不适或不足。

We construct the model of the incorporative game to analyze the strategies of the generation and buyer, and conclude that the equilibrium in bilateral transaction reaches the Pareto optimality under the full competition.

其中，从非合作博弈角度出发，建立区域电力市场竞价交易中发电商与购电商的博弈模型，分析发电商与购电商的双边交易行为，说明在充分竞争条件下，双边交易中所达到的均衡一定为帕累托最优。

Applying the theorem of alternative of subconvexlike map and other some conclusions, the optimality conditions represented by gradient for the vector extremum problems with generalized inequality constraint are obtained.

在线性拓扑空间中，引入了G-可微函数的梯度的概念，运用次似凸映射的择一定理和其他一些结论，获得了带广义不等式约束的向量极值问题的一种含有梯度的最优性条件。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。