Overview

Original Research

A PROPOSED METHOD FOR SOLVING A SPECIAL CASE OF MULTI-OBJECTIVE FRACTIONAL PROGRAMMING PROBLEM

MOHAMED SOLOMON 1, HEGAZY ZAHER 2, and NAGLAA RAGAA 3.

Vol 17, No 09 ( 2022 )   |  DOI: 10.5281/zenodo.7106577   |   Author Affiliation: Ph.D. Researcher, Department of Operations Research, Faculty of Graduate Studies for Statistical Research, Cairo University, Egypt 1; Professor Doctor in Mathematical Statistics, Faculty of Graduate Studies for Statistical Research, Cairo University, Egypt 2; Professor Doctor in Operations Research, Faculty of Graduate Studies for Statistical Research, Cairo University, Egypt 3.   |   Licensing: CC 4.0   |   Pg no: 1214-1221   |   To cite: MOHAMED SOLOMON, et al., (2022). A PROPOSED METHOD FOR SOLVING A SPECIAL CASE OF MULTI-OBJECTIVE FRACTIONAL PROGRAMMING PROBLEM. 17(09), 1214–1221. https://doi.org/10.5281/zenodo.7106577   |   Published on: 22-09-2022

Abstract

This paper presents a special case of multi-objective linear fractional programming (MOLFP) problem as a new assumption to transform MOLFP to the multi-objective linear programming (MOLP) problem. The new assumption is, the denominators of the fractional objective functions in the MOLFP problem are the same. In the beginning, we introduced the linear fractional programming (LFP) problem with the solution method to illustrate the proposed method. Our proposed is based on Charnes and Cooper transformation, which is transforming the fractional objective functions to MOLP problem. The Weighted sum method is considered in this paper to solve the MOLP problem after Charnes and Cooper transformation. To illustrate the proposed method, a numerical example is presented.

Keywords

linear fractional programming, multi-objective linear fractional programming, multi-objective linear programming, Charnes and Cooper transformation, weighted sum method.