第三节研究了一类非线性分式双层规划问题(NFBP)。
A certain nonlinear fractional bilevel programming problem (NFBP) is studied in section 3.
最后，通过数值实验表明，本文提出的算法对该类线性分式双层规划问题比较有效。
Finally, numerical experiments are made and the results show that the proposed algorithms in this paper for a class of linear fractional programming problem are very effective.
文章将供应商、经销商追求利益最大化目标与用户需求的相互作用表述为一个双层规划问题。
This paper a bilevel programming problem which assumes that the interaction between suppliers and distributors will be pursued to maximize the objectives and the user needs.
采用双层规划模型描述弹性需求条件下的连续平衡网络设计问题，设计了近似解的启发式算法。
A bilevel programming model and heuristic solution algorithm is proposed to model the continuous equilibrium network design problem with elastic demand.
为了描述多枢纽选址与混合网络设计综合优化问题，引入了双层规划模型建立数学模型。
To express integrated optimization of multiple hubs location and mixed network design, a bi-level programming model was introduced for mathematical models.
以连续网络设计问题为主要研究对象，分析了连续网络设计问题双层规划数学模型的结构特点。
With continuous network design problems as the main study subject, it analyzes the structural characteristics of mathematical model of the bilevel programming for continuous network design problems.
以连续网络设计问题为主要研究对象，分析了连续网络设计问题双层规划数学模型的结构特点。
With continuous network design problems as the main study subject, it analyzes the structural characteristics of mathematical model of the bilevel prog.
针对控制点修正的动态规划立体匹配算法存在控制点求取时间长、实时性差的问题，提出一种金字塔双层动态规划立体匹配算法。
To the problems of dynamic programming stereo matching algorithm modified by ground control points (GCPs), a pyramid two-level dynamic programming stereo matching algorithm is proposed.
本文采用双层规划模型描述基于弹性需求的连续平衡网络设计问题，设计了基于灵敏度分析法的启发式求解算法，并给出了一个简单的算例。
A bilevel programming model and heuristic solution algorithm based on sensitivity analysis is proposed to model the continuous equilibrium network design with elastic demand.
其次，对LFBP问题进行推广，研究一类线性分式-二次双层规划(LFQP)问题，用同样的思想方法对问题进行求解。
Secondly, as a generalization of LFBP problem, we study a class of linear fractional-quadratic bilevel programming problem (LFQP), and apply the same idea to solve this kind of problem.
反应器网络综合问题一般都是复杂的非线性规划问题，在分析基于全混流反应器的反应器网络模型特点的基础上，提出了求解该模型的双层优化算法。
To avoid the above disadvantage, a two-level optimization algorithm was proposed according to the characters of the reactor network model based on continuous stirred-tank reactors(CSTR).
反应器网络综合问题一般都是复杂的非线性规划问题，在分析基于全混流反应器的反应器网络模型特点的基础上，提出了求解该模型的双层优化算法。
To avoid the above disadvantage, a two-level optimization algorithm was proposed according to the characters of the reactor network model based on continuous stirred-tank reactors(CSTR).
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