线性规划的“多反而少”现象及线性规划模型的改进

The More for less Paradox in Linear Programming and The Improvement of Linear Programming Model

本文拓广了“多反而少”现象的含义，得到了传统线性规划模型存在“多反而少”现象的充分必要条件，建立了在解决实际线性规划问题时，可避免“多反而少”现象的线性规划新模型。

In this paper,we extend the meaning of the more for less paradox, derive the sufficient and necessary conditions for existence of the more for less paradox in a linear programming,and es- tablish new linear models,which can avoid the more for less paradox.