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- This model is formulated as a bilevel programming problem. 此模型公式化为一双水平规划问题。
- In this paper, linear bilevel programming problem (LBP) is considered. 摘要关于线性二层规划的求解问题。
- The bilevel programming is hierarchical optimization on bilevel decision. 摘要二(双)层规划是研究二层决策的递阶优化问题。
- Two classes of mixed integer bilevel programming problems were discussed. 讨论了两类非线性混合整数双层规划问题。
- In this paper, we focus on bilevel programming problem with a common decision variable in the upper level and lower level programming. 摘要主要讨论上下层具有共同决策变量的一类二层规划问题的求解方法。
- The mathematics description of the linear bilevel programming problem is used firstly. 本文首先给出了二层线性规划的数学描述;
- The bilevel programming models can efficiently describe the managemental decision system with multilevel. 摘要双层规划模型是描述具有层次特性管理决策系统的有效方法。
- As a result,the original nonlinear bilevel programming can be approximated by a single-level programming. 其次,将插值函数代入上层问题,得到一个近似原问题的单层规划;
- Bilevel programming is a kind of two-story structure of the hierarchical decision-making optimization problem. 二层规划是一种具有二层递阶结构的决策优化问题。
- Finally, the numerical example illustrates the bilevel programming model and the proposed algorithm. 最后用实例验证了提出的模型和算法。
- Bilevel programming models can be used efficiently to describe the hierarchy decision system. 双层规划能有效地描述具有递阶层次结构的决策系统。
- A new genetic algorithm is proposed for solving the mixed-integer bilevel programming problems. 针对这类问题提出了一个新的遗传算法。
- Abstract Two classes of mixed integer bilevel programming problems are discussed. 摘要 讨论了两类非线性混合整数双层规划问题。
- 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. 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。
- 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. 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。
- With vectors d 1 and d 2 being arbitarily given,a linear bilevel programming is constructed whose optima is not Pareto-optimal. 对任意给定的正整数 (n1;n2 ) ;构造了上下层决策变量分别是n1和n2 维的两层线性规划 ;其最优解不是相应双目标规划的有效解 ;进而构造出以任意给定的线性无关的向量d1;d2 为价格向量的两层规划 ;其最优解不是有效解 .
- Nonlinear bilevel programming lacks efficient algorithms due to its computational difficulties such as nonconvexity and NP-hardness. 摘要由于非线性两层规划具有非凸性、NP-难等计算困难,高效的算法并不多见。
- This paper is concerned with a class of transport bilevel programming problems investigated by analytical analysis approaches. 摘要 主要讨论基于用户平衡原则的交通网络优化问题。
- Finally a polynomial-time algorithm for the optimal strategy of OEM is gotten by using dual theory of bilevel programming. 最后,利用双层规划的对偶理论,给出求解OEM业务最优策略的一种多项式时间算法。