Author(s):
1. Rebaz B. Mustafa:
Department of Management Information System, Erbil Technical Administrative Institute, Erbil Polytechnic University, Erbil, Iraq
2. Nejmaddin A. Sulaiman:
Department of Mathematics, College of Education, Salahaddin University, Erbil, Iraq
Abstract:
In this paper, we have proposed an alternate new technique to find an efficient solution of multi-objective fractional programming problems (MOFPP). The multi-objective fractional programming problem will be converted into multi-objective linear programming (MOLPP) utilizing the point-slopes formula, which has equivalent weights to the original MOFPP. The MOLPP will be 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 and flow chart for its solution. Finally, we obtained the optimal solution for MOFPP by solving the consequent linear programming problem (LPP) based upon simplex method. The proposed practicability is confirmed with the existing approaches, and it has been illustrated with some numerical examples. The new techniques outperform other techniques in terms of results, with a smooth pace, and reach an efficient solution at a faster rate.
Page(s):
1051-1064
Published:
Journal: Pakistan Journal of Statistics and Operation Research, Volume: 17, Issue: 4, Year: 2021
Keywords:
Mean deviation
,
PointSlopes Formula
,
Linear Programming Problem
,
MultiObjective Quadratic Fractional Programming Problem
,
MultiObjective Linear Fractional Programming Problem
References:
References are not available for this document.
Citations
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