以下为句子列表：
英文: And then a simple effective algorithm for the VQBP is proposed based on the relationship between the optimal solutions of the two value-type bilevel programming problems.
中文: 然后根据两个双层规划的最优解和最优目标值之间的关系，提出一种简单有效的算法来解决非增值型凸二次双层规划间题。
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英文: The model of bilevel programming under uncertainty is converted to some linear programming models on uncertain parameters based on the theory of multi-parametric linear programming, and one of its optimal solution chosen from the worst cases is obtained b
中文: 摘要基于多参数线性规划理论，将不确定型二层线性规划问题转化为多个关于不确定参数的线性规划问题，利用不确定型决策方法中的悲观准则，从最不利的结果中选择最有利的结果，从而得到不确定型二层线性规划的最优解。
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英文: We first transform the VQBP into another value-type bilevel programming problem, in which there is only one unconstrained quadratic sub-program in the lower-level.
中文: 首先利用数学规划的对偶理论，将所求双层规划转化为一个下层只有一个无约束凸二次子规划的双层规划问题。
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