In the present paper, a type of higher order dual model is formulated for minimax fractional programming problem.
提出了一个非线性规划的对称对偶模型，它统一了非线性规划中两类对称模型。
Firstly, this article transform the fractional programming problem with polytope constraints to an equivalent problem.
分式规划问题是一类被广泛研究的非线性规划问题。
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。
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.
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。
A certain nonlinear fractional bilevel programming problem (NFBP) is studied in section 3.
第三节研究了一类非线性分式双层规划问题(NFBP)。
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.
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.
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。
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