【摘要】 文献[2]提出了二层规划解的新定义,同时指出新定义能够解决更广泛的线性二层规划问题,并且如果线性二层规划的约束域为非空紧集,那么线性二层规划问题就存在Pareto最优解.本文用两个线性二层规划的例子说明文献[2]得出的结论是不可靠的,同时还分析了两种定义下的线性二层规划诱导域之间的关系.更多还原

【Abstract】 In reference [2], Shi Chenggen gave a new definition of linear bilevel programming (BLP) solution, and drawn the conclusions that the new definition could solve a wider class of problems, and if the constraint region of a linear BLP is nonempty and compact, then there exists a Pareto optimal solution for the linear BLP problem. However, in this paper, two counter-examples show that the above conclusions are not credible, then the relationship between the two kinds of inducible regions of the linear BLP is analyzed.更多还原