分式规划问题是一类被广泛研究的非线性规划问题。
Firstly, this article transform the fractional programming problem with polytope constraints to an equivalent problem.
最后给出了上述理论在多目标分式规划方面的应用。
The theory is then applied to a class of nonsmooth multiobjective fractional programming.
系统地讨论了集函数多目标分式规划的弱有效解、有效解和真有效解的基本定理。
Systematically discusses the fundamental theorems of weak efficient solution, efficient solution and properly efficient solution for multiobjective fractional programming problems with set functions.
基于决策者的线性效用函数提出了一种求解多属性决策问题的交互线性分式规划算法。
An interactive linear fractional programming algorithm is presented to solve multiple attribute decision problems based on the assumption that the decision-maker has a linear utility function.
基于解非线形规划的凸单纯形法，对一类线形分式规划的消耗系数矩阵进行灵敏度分析。
Based on the convex simplex method for nonlinear programming, a sensitivity analysis of consumption coefficient matrix in linear fractional programming is presented.
本文提出两级分式规划方法求解具有约束的一类分式规划问题，建立了两级算法的理论基础。
A two-level algorithm is proposed for fractional programming problems with constraints, and its theoretical base is established.
本文提出一个直接处理一般形式线性分式规划的算法而不需要把问题的约束条件转化为标准形式。
In this paper, the authors present an algorithm to handle linear fractional programming in the general form directly, which need not transform the constraints of the problem into the standard form.
在一定条件下，论证了集函数多目标分式规划问题与其相应的标量化问题以及鞍点问题之间的密切关系。
Under suitable conditions, we give some theorems connecting multiobjective fractional programming with set functions and its scalarization problems as well as the corresponding saddle point problems.
本文在线性分式目标规划解法的基础上，给出了有界混合线性分式目标规划的软件设计。
On the basis of linear fractional goal programming this paper presents the software design of bounded mixed linear fractional goal programming.
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.
本文给出了混合线性分式目标规划的一般解法及其应用实例。
In this paper, we establish the general algorithm of mixed linear fractional goal programming and present some examples of its application.
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.
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.
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.
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