A New Method for Solving Quadratic Fractional Programing Problems
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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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[1] Abdulrahim, B. K. (2013). Solving quadratic fractional programming problem via feasible direction development and modified simplex method. Journal of Zankoy Sulaimani (JZS), 15(2), 45-52, https://doi.org/10.17656/jzs.10245
[2] Abdulrahim, B. K. (2017). Using feasible directions to solve quadratic fractional programming problem. Journal of Garmin University, 4(1), 56-71, https://doi.org/10.24271/garmian.6.
[3] Abdulrahim, B. K. (2017). Using pseudoaffinity to translation QFPP to LFPP. Journal of Garmin University, 4(13), 164-177, https://doi.org/10.24271/garmian.134
[4] Beck, A., Ben-Tal, A., & Teboulle, M. (2006). Finding a global optimal solution for a quadratically constrained fractional quadratic problem with applications to the regularized total least squares. SIAM Journal on Matrix Analysis and Applications, 28(2), 425-445, https://doi.org/10.1137/040616851
[5] Zhang, A. (2008). Quadratic fractional programming problems with quadratic constraints. Doctoral dissertation, Graduate School of Informatics, Kyoto University, Japan.
[6] Sulaiman, N., & Nawkhass, M. (2013). Solving quadratic fractional programming problem. International Journal of Applied Mathematical Research, 2(2), 303-309, https://doi.org/10.14419/ijamr.v2i2.838
