关键词: 运筹学, 原-对偶模型, 逆最优值解法, “多反而少”悖论

Abstract: The right-hand side in linear programming is changed to solve the more-for-less paradox in current researches, while this paper points out and verifies that the reason why the paradox occurs is the unreasonable collocation of the technological coefficient matrix, the objective function coefficient and the right-hand side. First, the original-dual model is constructed to judge whether there exists the paradox. Then, through transforming the paradox problem into inverse optimal value problem, we construct two models to solve the paradox by changing the objective function coefficient and the technological coefficient matrix. Finally, the inverse optimal value method is provided to judge and solve the paradox. The advantages and economic significance of the method is described next. It is found that the method exhibits excellent face validity for a numerical example.

Key words: operational research, original-dual model, inverse optimal value method, more-for-less paradox