最优法

Based on genetic algorithm,a new hybrid coding method using the integer and floating number was presented. The enumerable method guarantees each individual in the population to satisfy the constrains, thus the punishment function was avoided. The two adjustable parameters made the evolution process jump out of the local best solution perfectly.The application of the fitness assignment based on Pareto ranking attained inferior solution set of the multi-objective and multiple options were provided to the decision-maker.

设计了一种新的整数和浮点数结合的编码方式；通过列举法使得每代个体满足约束条件，避免了罚函数的使用；可调整的双参数变异算子使进化过程能够较好地跳出局部最优解；应用基于Pareto排序的适应值分配方式得到目标函数的非劣解集，为决策者提供了多种选择方式。

Prepared by using Matlab and provide a solution to the optimal algorithm Hamilton --- trilateral exchange adjustment.

用matlab编写的，提供一种求解最优哈密尔顿的算法---三边交换调整法。

The optimization method is genetic algorithm based on exterior point penalty function method.

采用基于外点罚函数法的遗传算法，对精馏塔优化问题进行求解，获得精馏塔的最优操作状态。

This model is a non-linear constraint program, and the feasible direction search algorithm is applied to solve the model.

采用分析优化方法，探讨了公共交通的实际乘客需求及票价成本收益，并以此为基础建立了以社会福利最大化为目标的发车间隔和票价综合优化模型，确定该模型为非线性约束最优值规划，应用可行方向法对模型进行了求解。

Secondly, make amendments to the initial feasible direction in order to adapt it to all the inequations of the optimization model.

具体做法是：首先对非线性优化模型中所有等式约束条件实施拟牛顿迭代法，求得一个可行方向，然后对这个可行方向进行修正，使之满足线性和非线性的不等式约束条件，最后收敛于问题的最优解。

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。

A bionics algorithm for robot path planning in static environment is proposed, in which the environmental models are established with grid method, the foraging behavior of ant colonies is simulated and optimal path search is finished by many ants cooperatively.

描述了一种静态环境下的机器人路径规划仿生算法。该算法用栅格法对场景进行建模，模拟蚂蚁的觅食行为，由多只蚂蚁协作完成最优路径的搜索。

It is found that the later is better than the former greatly, due to the fact that accurate solution by gaussian elimination is zero error. But zero error is ideal situation and it is difficult to reach in practice. So all we can do is to search an optimal solution under many restriction conditions, and the optimal can represent the solution of the question better.

咎其原因，高斯消元法是求解问题的精确解，而在实际生产科研工作中，这种理想状况是很难达到的，因此，遗传算法在多个约束条件下寻找当前最优解作为问题的解，才具有实际意义。

Finally, in the third section, by constructing some functional which similar to the conservation law of evolution equation and the technical estimates, we prove that in the inviscid limit the solution of generalized derivative Ginzburg—Landau equation converges to the solution of derivative nonlinear Schrodinger equation correspondently in one-dimension; The existence of global smooth solution for a class of generalized derivative Ginzburg—Landau equation are proved in two-dimension, in some special case, we prove that the solution of GGL equation converges to the weak solution of derivative nonlinear Schr〓dinger equation; In general case, by using some integral identities of solution for generalized Ginzburg—Landau equations with inhomogeneous boundary condition and the estimates for the L〓 norm on boundary of normal derivative and H〓 norm of solution, we prove the existence of global weak solution of the inhomogeneous boundary value problem for generalized Ginzburg—Landau equations.

第三部分：在一维情形，我们考虑了一类带导数项的Ginzburg—Landau方程，通过构造一些类似于发展方程守恒律的泛函及巧妙的积分估计，证明了当粘性系数趋于零时，Ginzburg—Landau方程的解逼近相应的带导数项的Schr〓dinger方程的解，并给出了最优收敛速度估计；在二维情形，我们证明了一类带导数项的广义Ginzburg—Landau方程整体光滑解的存在性，以及在某种特殊情形下，GL方程的解趋近于相应的带导数项的Schr〓dinger方程的弱解；在一般情形下，我们讨论了一类Ginzburg—Landau方程的非齐次边值问题，通过几个积分恒等式，同时估计解的H〓模及法向导数在边界上的模，证明了整体弱解的存在性。

Based on the golden section method proposed by the use of C language program for solving the global optimal solution method is a very simple and effective method.

基于黄金分割法提出的利用 C语言程序求解全局最优解的方法，是一种相当简单而有效的方法。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。