On the equivalency between a linear bilevel programming problem and linear optimization over the efficient set 0
On the equivalency between a linear bilevel programming problem and linear optimization over the efficient set 0
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关于线性二层规划问题与有效集 0 上的线性优化之间的等价性
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
J. Fülöp
中科院分区：
文献类型：
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作者：
J. Fülöp
其中，x, c, c∈R1, x, c, c∈R2, b∈R， A1为m × n1矩阵，A2为m × n2矩阵，T为转置。当两个不同层次的决策者有共同的约束和不同的、可能相互冲突的目标时，就会出现这种问题。决策过程是连续的。控制x变量的领导者对控制x变量的追随者的决策空间有第一选择约束。研究的第二个问题与多准则线性规划问题max Cx s.t. x∈P,（1.4）有关。
where x, c, c ∈ R1 , x, c, c ∈ R2 , b ∈ R, A1 is an m × n1 matrix, A2 is an m × n2 matrix, and T denotes the transposition. Such problems may arise when there are two decision makers at different hierarchical levels having joint constraints and different and possibly conflicting objectives. The decision-making process is sequential. The leader controlling the variables of x has the first choice restricting thus the decision space of the follower, who controls the variables of x. The second problem of the investigation connects with the multicriteria linear programming problem max Cx s.t. x ∈ P, (1.4)