文章基本信息

标题：A New Approach for Solving Linear Fractional Programming Problems with Duality Concept
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作者：Farhana Ahmed Simi ; Md. Shahjalal Talukder
期刊名称：Open Journal of Optimization
印刷版ISSN：2325-7105
电子版ISSN：2325-7091
出版年度：2017
卷号：06
期号：01
页码：1-10
DOI：10.4236/ojop.2017.61001
语种：English
出版社：Scientific Research Publishing
摘要：Most of the current methods for solving linear fractional programming (LFP) problems depend on the simplex type method. In this paper, we present a new approach for solving linear fractional programming problem in which the objective function is a linear fractional function, while constraint functions are in the form of linear inequalities. This approach does not depend on the simplex type method. Here first we transform this LFP problem into linear programming (LP) problem and hence solve this problem algebraically using the concept of duality. Two simple examples to illustrate our algorithm are given. And also we compare this approach with other available methods for solving LFP problems.
关键词：Linear Fractional Programming;Linear Programming;Duality