TITLE:
Characteristics of Multi-Objective Linear Programming Problem and Multi-Objective Linear Fractional Programming Problem Taking Maximum Value of Multi-Objective Functions
AUTHORS:
Samsun Nahar, Md. Asadujjaman, Khadiza Begum, Mahede-Ul-Hassan, Md. Abdul Alim
KEYWORDS:
MOLPP, MOLFPP, New Arithmetic Averaging Method, New Geometric Averaging Method
JOURNAL NAME:
Applied Mathematics,
Vol.15 No.1,
January
22,
2024
ABSTRACT: In this paper, a new statistical averaging technique is proposed for finding an optimal solution to a multi-objective linear fractional programming problem (MOLFPP) and multi-objective linear programming problem (MOLPP) by using new arithmetic averaging method and new geometric averaging method. It is significantly noticeable same characteristics among all the technique while taking maximum or minimum among all optimized values for multi-objective functions using simplex algorithm. The characteristics provided from the problems are verified by the numerical examples.