A new Mean Deviation and Advanced Mean Deviation Techniques to Solve Multi-Objective Fractional Programming Problem Via Point-Slopes Formula

Rebaz Mustafa; Nejmaddin A. Sulaiman

doi:10.18187/pjsor.v17i4.3789

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Abstract

In this paper, we have proposed a new technique to find an efficient solution to fractional programming problems (FPP). The multi-objective fractional programming problem (MOFPP) is converted into multi-objective linear programming (MOLPP) utilizing the point-slopes formula for a plane, which has equivalent weights to the MOFPP. The MOLPP is diminished to a single objective linear programming problem (SOLPP) through using two new techniques for the values of the objective function and suggesting an algorithm for its solution. Finally, we obtained the optimal solution for MOFPP by solving the consequent linear programming problem (LPP). The proposed practicability is confirmed with the existing approaches, with some numerical examples and we indicated comparison with other techniques.

Keywords

Multi-Objective Linear Fractional Programming Problem Multi-Objective Quadratic Fractional Programming Problem Point-Slopes Formula Mean Deviation

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Creative Commons Attribution 4.0 International (CC BY 4.0)

Reuse is governed by the linked license.

Author Biography

Rebaz Mustafa, Department of Management Information System, Erbil Technical Administrative Institute, Erbil Polytechnic University, Erbil, Iraq

Department of Mathematics, College of Education, Salahaddin University, Erbil, Iraq

Publication information

Published: 2021-12-03

Issue: Vol. 17 No. 4, 2021

Pages: 1051-1064

DOI: 10.18187/pjsor.v17i4.3789

How to Cite

Mustafa, R., & Sulaiman, N. A. (2021). A new Mean Deviation and Advanced Mean Deviation Techniques to Solve Multi-Objective Fractional Programming Problem Via Point-Slopes Formula. Pakistan Journal of Statistics and Operation Research, 17(4), 1051-1064. https://doi.org/10.18187/pjsor.v17i4.3789

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