文中引入了一类广义不变凸函数，对一类变分问题给出了最优解的充分性条件以及对偶理论。
The generalized invex functions are introduced and the optimality theorems and duality theory are established for a class of variational problems.
此公式具有渐进强对偶的特性并且可以保证找到原问题的最优解。
This formulation possesses an asymptotic strong duality property and guarantees a success for identifying an optimum solution.
文中着重介绍了当对偶规划问题数学模型出现重复方程时，可通过重构原规划问题的方法，求得问题的最优解。
Emphasis is given to that when repeated equations appear in the mathematical model of the duality programming problem, global optimized solution can be obtained by reconstructing the original program.
本文给出了重力式桥墩与明挖基础整体优化设计的数学模型，选择序列线性规划法，并利用线性规划的对偶理论求最优解。
In this paper, a mathematical model for integral optimization design of pier shaft and its foundation is given, and the SLP method and duality theory are applied here to have a optimal solution.
并研究了原问题的最优解和对偶问题的最优影子价格的关系，当原问题有最优极方向时，它的最优解不一定是对偶问题的最优影子价格。
The optimal solution of the original problem was not certainly the optimal shadow price of its dual problem when the optimal extreme directions of the original problem were in existence.
利用对偶线性规划和对偶线性规划最优解互补松弛条件解决了含有多个变量和两个约束的线性规划的图解法求解问题。
This paper discusses a kind of method of constructing the dual linear program with the linear combination of the constraint conditions, and shows that the method is simple and uniform.
利用对偶线性规划和对偶线性规划最优解互补松弛条件解决了含有多个变量和两个约束的线性规划的图解法求解问题。
This paper discusses a kind of method of constructing the dual linear program with the linear combination of the constraint conditions, and shows that the method is simple and uniform.
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