A New Method for Solving Quadratic Fractional Programing Problems

In this article, the given algorithms were expanded and a methodology was developed to solve an objective function of a quadratic fractional programming problem (QFPP) with linear constraints. A new method called RBM was introduced to directly solve the problem with optimal solution. Finally, the n...

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Main Authors: Mediya B. Mrakhan, Basiya K.Abdulrahim, Rzgar F. Mahmood, Aram Bajalan, Shwan Adnan Ali
Format: Article
Language:English
Published: Tikrit University 2021-11-01
Series:Tikrit Journal of Pure Science
Subjects:
Online Access:https://tjpsj.org/index.php/tjps/article/view/182
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author Mediya B. Mrakhan
Basiya K.Abdulrahim
Rzgar F. Mahmood
Aram Bajalan
Shwan Adnan Ali
author_facet Mediya B. Mrakhan
Basiya K.Abdulrahim
Rzgar F. Mahmood
Aram Bajalan
Shwan Adnan Ali
author_sort Mediya B. Mrakhan
collection DOAJ
description In this article, the given algorithms were expanded and a methodology was developed to solve an objective function of a quadratic fractional programming problem (QFPP) with linear constraints. A new method called RBM was introduced to directly solve the problem with optimal solution. Finally, the nonlinear problem was transformed to a linear programming problem with two constraints. No more conversion was made to the initial problem. Numerical examples were illustrated to show the efficiency of the method. In addition, the computer operation of the current algorithms was discussed by using MATLAB 2013a to solve a constructed numerical example.
format Article
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institution Matheson Library
issn 1813-1662
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language English
publishDate 2021-11-01
publisher Tikrit University
record_format Article
series Tikrit Journal of Pure Science
spelling doaj-art-19a9312d328d4b9ca96e952d92fc88a82025-07-12T10:33:14ZengTikrit UniversityTikrit Journal of Pure Science1813-16622415-17262021-11-0126510.25130/tjps.v26i5.182A New Method for Solving Quadratic Fractional Programing ProblemsMediya B. MrakhanBasiya K.AbdulrahimRzgar F. MahmoodAram BajalanShwan Adnan Ali In this article, the given algorithms were expanded and a methodology was developed to solve an objective function of a quadratic fractional programming problem (QFPP) with linear constraints. A new method called RBM was introduced to directly solve the problem with optimal solution. Finally, the nonlinear problem was transformed to a linear programming problem with two constraints. No more conversion was made to the initial problem. Numerical examples were illustrated to show the efficiency of the method. In addition, the computer operation of the current algorithms was discussed by using MATLAB 2013a to solve a constructed numerical example. https://tjpsj.org/index.php/tjps/article/view/182Linear Programming ProblemFractional Programming ProblemQFPPRBM-Technique
spellingShingle Mediya B. Mrakhan
Basiya K.Abdulrahim
Rzgar F. Mahmood
Aram Bajalan
Shwan Adnan Ali
A New Method for Solving Quadratic Fractional Programing Problems
Tikrit Journal of Pure Science
Linear Programming Problem
Fractional Programming Problem
QFPP
RBM-Technique
title A New Method for Solving Quadratic Fractional Programing Problems
title_full A New Method for Solving Quadratic Fractional Programing Problems
title_fullStr A New Method for Solving Quadratic Fractional Programing Problems
title_full_unstemmed A New Method for Solving Quadratic Fractional Programing Problems
title_short A New Method for Solving Quadratic Fractional Programing Problems
title_sort new method for solving quadratic fractional programing problems
topic Linear Programming Problem
Fractional Programming Problem
QFPP
RBM-Technique
url https://tjpsj.org/index.php/tjps/article/view/182
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