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

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 eq...

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Bibliographic Details
Published in:Pakistan journal of statistics and operation research pp. 1051 - 1064
Main Authors: Mustafa, Rebaz, Sulaiman, Nejmaddin A.
Format: Journal Article
Language:English
Published: 03.12.2021
ISSN:1816-2711, 2220-5810
Online Access:Get full text
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Summary: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. 
ISSN:1816-2711
2220-5810
DOI:10.18187/pjsor.v17i4.3789