A Study on Multi-Objective Linear Fractional Programming Problem: A case study in agricultural production system

Abstract

This paper presents a linear fractional programming approach for solving multi objective linear programming problem. We develop a model to solve multi objective linear programming problem into fractional programming problem and proposed a method for linearization of a fractional objective. In particular, we consider the optimization of ratio of profit and cash expenditure as fractional objective and used rest of objectives as constraints by obtaining aspiration levels. As the objectives are conflicting in nature, we used the concept of conflict and non-conflict between objectives for computation of appropriate aspiration level. The method is illustrated on a problem of agricultural production system to show its suitability.