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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Language: | English |
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Tikrit University
2021-11-01
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Series: | Tikrit Journal of Pure Science |
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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 |
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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.
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format | Article |
id | doaj-art-19a9312d328d4b9ca96e952d92fc88a8 |
institution | Matheson Library |
issn | 1813-1662 2415-1726 |
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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