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Third,a nonlinear programming model is given for the coexistence of multi-prices on the basis of the convex function model.

再次,在凸需求函数模型下给出多种价格并存的非线性规划模型。

In the more mature areas such as linear programming and unconstrained optimization, and in those of intermediate maturity such as integer and constrained convex optimization, emphasis will be placed on rapid, large-scale computation.

在那些更为成熟的如线性规划和无约束优化等领域和一些不太成熟的如整数和约束优化等领域,研究的重点将被放到快速的,大规模的计算上。

According to the viewpoint of combination tope, any convex polyhedron can be composed of some simplexes, and both convex polyhedron and simplex are important concepts of programming theory, so it's necessary to find their volumes in some calculations.

由组合拓扑学可知,任意凸多面体均为若干个单纯形的某种组合,两者均为规划论中最重要的基本概念之一,因而在一些计算中对其求积是不可少的。

This algorithm is proposed on the basis of the thought as follovvs: as for three dimensional Euclid space, the feasible region of any linear programming problem is a extended convex polyhedron, of which surface is consisted of some planes, and its objective function can be regarded as a parallel plane pencil with objective function value acting as parameter.

如果线性规划问题有最优解,那么过可行域的一已知顶点必至少存在这样一条棱——它以该己知顶点为一端点,可行域的另一顶点为另一端点,并使目标函数在另一端点的函数值优于己知端点的函数值,否则,该己知点就是线性规划问题的最优解。

It is generalization of linear and convex quadratic programming.

这可以被看作是一个特殊情况非线性规划或泛化的线性或凸二次规划。

Moreover,it has generality,and includes the other models for convex quadratic programming.

此外该网络具有一般性,包括了其它解凸二次规划问题的模型。

We analyze it theoretically, and convert it into two convex programming problems.

本文对这一非凸问题进行了详细的理论分析,并将这一问题转化为两个凸规划问题。

There are a large number of non-convex functions in practical problems, and they have similar nature in the non-linear programming as convex functions.

实际问题中的大量函数都是非凸的,它们与凸函数在非线性规划中有一些相似的性质。

Based on the theory, a new approach for convex quadratic programming with equality constrains is studied.

第三章介绍了拟牛顿算法,并给出了Armijo型线性搜索和Wolf-Powell型线性搜索。

This paper presents a new optimized neural network for nonlinear convex programming problems with both quality and inequality constraints.

目的 为解决一类同时含有等式约束和不等式约束的混杂约束的非线性规划问题。

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