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- 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 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；
- 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 .
- The paper researches the feature of the solution and optimization conditions of the linear bilevel programming(LBP), at the basis of the optimization conditions of the (BLP), a global convergent algorithm is proposed to solve the (LBP). 对线性双层规划解的特点和最优性条件进行了研究，根据最优性条件提出了一个求解线性双层规划全局最优解的算法。
- Linear bilevel programming problem is a special class of non-convex optimization problems，in order to solve the problems efficiently，a new genetic algorithm based on the simplex method is proposed. 摘要 线性二层规划是一类特殊的非凸优化问题，为了有效求解该问题，提出了一种基于单纯形方法的遗传算法。
- solution-type linear bilevel programming 解型线性双层规划
- A Cutting Plane Algorithm for Solving Linear Bilevel Programs 求解线性双层规划的割平面算法
- A Revised Frank-Wolf Method for Solving Linear Bilevel Programming 一种求解线性二层规划的修正Frank-Wolf方法
- Linear bilevel program 线性二层规划
- A Discussion on the branch-and-bound Approach to Linear Bilevel Programming 关于线性二层规划分枝定界方法的探讨
- A Global Convergent Method for Linear Bilevel Programs Based on Penalty Function 用罚函数求解线性双层规划的全局优化方法
- A method of the global optimization and the application for the integer linear bilevel programming problem 二层线性整数规划问题的一种全局优化方法及应用
- linear bilevel programming 线性二层规划
- 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 chapter 5, a linear bilevel multiobjective programming problem is transformed into a series of one-level multiobjective programming problems. 这种单层化方法为线性两层多目标规划问题提供了一条有效的求 解途径。
- An optimality condition for a linear bilevel multiobjective programming problem is presented, and a theorem for the test of a non-inferior solution is given. 证明了 线性两层多目标规划问题的可行解集是连通闭集，并给出了可行解集的构 造。
- 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。
- For nonlinear bilevel programming problems in which the follower's programming is linear in both xandy, a genetic algorithm based on the duality theory of the follower's problem is proposed. 摘要针对下层为线性规划的非线性双层规划问题，提出了一种基于下层对偶理论的遗传算法。
- 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。
