论文标题
一种精确的方法，用于优化两个线性分数函数，比多主体整数线性分数程序的有效集
An exact method for optimizing two linear fractional functions over the efficient set of a Multiobjective Integer Linear Fractional Program
论文作者
论文摘要
在本文中，提出了一种精确的方法，可以优化两个分数线性函数，而不是分数多主体线性问题（MOILFP）的有效集。当有两个决策者时，就会遇到这种类型的问题，并且每个都有自己的实用程序功能，他想在有效的多目标问题集上进行优化。所提出的方法使用分支和结合方法与切割平面技术相结合，以找到用于实用程序函数和（MOILFP）的有效解决方案，而无需浏览两个问题的所有有效解决方案。报道了一个说明性的例子和计算研究。
In this paper, an exact method is proposed to optimize two fractional linear functions over the efficient set of a fractional multiobjective linear problem (MOILFP). This type of problems is encountered when there are two decision makers and each has his own utility function that he wants to optimize over the efficient set of multiobjective problem. The proposed method uses Branch and Bound method combined with a cutting plane technique to find the efficient solutions for both utility functions and (MOILFP) without going through all the efficient solutions of the two problems. An illustrative example and a computational study are reported.
