线性向量极值问题基最优解的存在性

EXISTENCE OF A BASIC OPTIMAL SOLUTION FOR LINEAR VECTOR EXTREME VALUE PROBBEM

本文在偏序向量空间中,对线性向量极值问题建立了基的概念,推广了线性规划问题的一些性质和结论,最后得到了基最优解的存在定理。

In this paper, the concept of basic for linear vector extreme value problem is introduced in the partially ordered vector space. Some properties and results of the linear programming are generalized. And the existaence therom of basic optimal solution is proved.