In this paper, the authors are aimed at applying duality theory to multi-objective linear programming problems. Three methods of solutions were discussed and applied in this paper with the sole aim of ...

Abstract: The aims of the article is to the study fuzzy multi-objective linear fractional programming (FMOLFP) problem by using goal programming approach. At first by using Charnes and Cooper ...

In this study, we propose an exact method for optimizing a linear function over the efficient set of a multi-objective transportation problem (MOTP). This type of problem arises when a decision maker ...

The development of large language models has given rise to emerging markets where companies offer models as a service and compete for user usage. A concern is that the accumulation of data and compute ...

Learn how to solve problems using linear programming. A linear programming problem involves finding the maximum or minimum value of an equation, called the objective functions, subject to a system of ...