最优法

Because the optimal triangle fuzzy numbers and optimal fuzzy vector which were used to replace the maximum sets and the ideal solution may be got by observation, not need the complex comparison process of fuzzy triangle fuzzy numbers.

研究发现，本文提出的模糊灰色关联分析法以可通过观察而直接得到的最优三角模糊数和最优模糊向量分别代替了以往的模糊极大集和模糊理想解，避免了模糊数比较的复杂过程，提高了模糊综合评价的决策效率。

The choice of step-length strongly affects the convergence rate of the Gradient Method, the classical Gradient Method—the method of steepest descent converges rather slowly in most cases, the poor behavior of the method is due to the optimal choice of step-length.

步长的选取对梯度法的收敛速度影响非常大，经典的梯度法-最速下降法在大多数情况下收敛得相当慢的原因在于最优步长的选取。

Compared with traditional discrimination method, this method is one that utilizes less iteration steps to find the optimum solution of the linear programming problem.

为寻找最优解，就需要求出基础可行解，并判断是否为最优解。单纯形法是求解线性规划问题的强有力的工具。通常采用

On this basis, anoptimization algorithm library named OPTLIB is formed. The study of dynamic optimization theory is followed. To solve the problem of thecoupling of the static and the dynamic parameters of the flying vehicle design, some auxiliaryvariables are introduced to deal with them together. Then the calculus of variation is adoptedand augment form of Pontryagin's Maximum Principle is derived.

研究了飞行器设计中的典型动态优化问题——轨迹优化问题及算法，针对飞行器设计中的静态参数和动态参数互相耦合的问题，引入辅助变量将静态参数和动态参数统一处理，在此基础上用变分法推导了极大值原理的增广形式，证明了单独的静态或动态最优并不等于总体最优。

By introducing the NCP function, the KKT conditions of POPF system are transformed equivalently. Based on the transformed nonsmooth nonlinear algebraic equations, the FOSMM is used to determine the POPF model expressed by the numerical characteristic of variables. The model includes nonsmooth functions, so it can be solved by a semismooth L-M method based on the subdifferential.

将概率最优潮流表述为随机非线性规划问题后，利用非线性互补函数将该问题的KKT条件进行转化，基于转化后的非线性代数方程组，利用一次二阶矩法确定了以待求量的数字特征表示的概率最优潮流模型，由于该模型包含不光滑函数，因此采用基于次微分的半光滑L-M方法求解。

Stochastic convex programming; Monte Carlo methods; Financial optimization; Convergence with probability one; Optimality condition; Monte Carlo penalty function methods; Nonsmooth optimization; Directional derivative; Subdifferential; Confident interval; Conditional Value-at-Risk; Optimal reinsurance

基础科学，数学，运筹学随机凸规划； Monte Carlo方法；金融优化；以概率1收敛；最优性条件； Monte Carlo罚函数法；非光滑优化；方向导数；次微分；置信区间；条件风险价值；最优再保险

In the first phase, the thesis divides a whole distribution region into many customer subsets by radius-circle partitioning method, and solves the inventory supplement problem. In the second phase, the thesis introduces improved VRP algorithm to optimize transportation route.

第一阶段以同时优化运输和库存成本为目标，在制定个体最优的补货方案基础上，设计基于遗传算法的径－环分割法对众多客户点进行分组，减小问题规模，同时进一步明确基于整体最优的客户点配送量；第二阶段运用改进VRP蚁群算法对运输路线优化。

The formulation of power system transient stability preventive control based on optimal power flow is presents in this thesis, in which multicontingency is considered. The infinite dimensions nonlinear optimization problem in which differential-algebraic equations are existed is changing into finite dimensions difference-algebraic equations by implicit trapezoid method.

建立了基于最优潮流的电力系统暂态稳定预防控制模型，通过隐式梯形法将含有发电机动态微分-代数方程和暂态稳定约束的无限维优化问题转换成有限维的常规静态最优潮流问题。

To solve the difficulties of digital integral that exist in global optimization of redundant manipulators, this paper discussed how to build up dynamic equation, the inner relation between constraints and unconstraint optimum control problems, then a digital method solving optimum control problems is deeply analyzed.

为了解决冗余度机器人全局法优化中数值求解的困难，本文讨论了动力学方程的建立、无约束和有约束最优控制问题之间的内在联系，重点分析了求解最优控制问题的数值方法。

Through the unconstraint model-conversion, an illustrative road-net is solved in a computer by using the Monte-Carlo method. The obtained traffic guidance scheme is optimal to the individual user as well as the whole system.

通过对模型无约束转化，运用Monte-Carlo法对示例路网进行了计算机求解，求解结果表明产生的交通出行诱导方案能够实现系统最优下的用户最优。

Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来，英国，在此地早期居住的是凯尔特人，已经被征服了三次。

Bluetooth OBEX File Transfer Enables the sending and receiving of files on your phone via Bluetooth.

蓝牙OBEX文件移动允许经过蓝牙传送和接受文件。。。。