We analyze such methods in detail and designed a new penalty function , experiment result proved that the genetic algorithm used such penalty function can get better quality of the solution in solving nonlinear programming problems 在这里我们还提出了一种新的罚函数。将运用这种罚函数的遗传算法用于优化非线性约束函数，能够有效的提高解的质量。
The main content of the thesis is discussing the genetic algorithm and designing genetic algorithms for solving nonlinear programming problems . in addition , we propose reliable , efficient algorithms for solving problems 本文的主要内容是讨论遗传算法和将遗传算法应用于非线性规划问题时的算法设计，并对这类问题的求解提出了可靠、高效的算法。
Because the second math model belongs to nonlinear programming problem , we adapted generic algorithm . at last generic algorithm is well compared with integer programming algorithm in method step and method principle 对模型二，因为是一个非线性规划问题，故可采用遗传算法求解，并详细介绍了两种求解算法的步骤，原理，以及这两个模型间的异同点和优缺点。
This dissertation studies mainly theories and according numerical implementation of a class of dual algorithms for nonlinear optimization problems , including unconstrained minimax problems and constrained nonlinear programming problems 本文主要研究非线性优化中的一类对偶算法，包括无约束极大极小问题的对偶算法和约束非线性规划问题的一类对偶算法的理论与相应的数值实现。
Abstract : in this paper ， a mathematical model to look for the maximum area avoiding obstacles rectangle in a rectangle area containing some points as obstacles is given . a solution of the nonlinear programming problem is presented 文摘:建立了在一个含有若干障碍点的矩形母域内求一个最大面积避障矩形问题的数学模型.通过分析避障矩形的几何特性，找到了求解这一含有0 ? 1变量的非线性规划数学模型的一种特殊解法
In chapter 2 . we give a class of new algorithms for nonlinear programming problems with linear constrained by combining the gradient projection method with non - quasi - newton method which was given in paper [ 2 ] . it ' s global convergence and the superlinear convergence are proved under suitable conditions 在第二章中我们将梯度投影与文[ 2 ]中的非拟牛顿法相结合，给出了求解线性约束非线性优化问题的一类梯度投影非拟牛顿算法。
The complementary linearization idea is then employed to convert the controller design into a nonlinear programming problem with linear matrix inequality constraints , and a construction of the desired controllers is also provided in terms of feasible solutions to the lmis 采用锥补线性化思想将控制器的设计转化为一个受线性矩阵不等式( lmi )约束的非线性规划问题，并利用该线性矩阵不等式的可行解给出了输出反馈控制器的构造方法。
In chapter 3 , we give a class of new algorithms with inexact search for nonlinear programming problems with linear constrained by combining the generalized projection method with non - quasi - newton method . it ' s global convergence and the superlinear convergence are proved under suitable conditions 新算法推广了文[ 1 ， 2 ]中的结果。在第三章中我们将广义投影算法与非拟牛顿法相结合，给出了求解线性约束非线性优化问题的一类广义投影非拟牛顿算法。
In the second chapter , the basic concepts and theory of genetic algorithms are introduced first and then the design of genetic algorithm has been discussed , some classical strategies used by genetic algorithm to solve nonlinear programming problems will be shown in this chapter as well 在第二章中介绍了遗传算法的基本概念和基本理论以及用遗传算法解决非线性规划问题的常用策略。对遗传算法的各个组成部分，特别是对选择策略，杂交策略，变异策略作了详细的介绍。
The method employs a recently developed direct optimization technique that uses a piecewise polynomial representation for the state and controls , thus converting the optimal control problem into a nonlinear programming problem . the method is remarkably robust to initial guesses , which is better than traditional method 这种方法利用了近些年来发展起来的直接优化技术，用分段多项式来表示整个轨道的状态和控制向量，将最优控制问题转化为非线性规划问题来研究。
