TRI RAZLIČITA PRISTUPA RJEŠAVANJU PROBLEMA VIŠEKRITERIJSKOG RAZLOMLJENO LINEARNOG PROGRAMIRANJA / THREE DIFFERENT APPROACHES TO SOLVING MULTI OBJECTIVE FRACTIONAL LINEAR PROGRAMMING

Abstract

In this paper we show three different approaches to solving multi objective fractional linear programming with simplex algorithm. We show: (1) method of goals satisfaction, (2) method of goal programming and (3) fuzzy multi objective fractional linear programming. For the goal programming method we propose a simple approach of linearization of fractional linear goal functions. The efficacy of presented approaches to solving the multi objective fractional linear programming from the analyst and decision maker points of view is tested on the example of optimization of a company's production plan. The obtained results point at significant advantages of goal programming usage in comparison to the other two methods in solving this problem. The advantages of goal programming mirror themselves in a simplicity of its usage both for the analyst and the decision maker, as well as in the fact that decision maker can participate in the process of solving the problem by assigning the weight of the goal functions by which the certain weights reflect decision maker's preferences.