THREE DIFFERENT APPROACHES TO SOLVING MULTI OBJECTIVE FRACTIONAL LINEAR PROGRAMMING Cover Image

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

Author(s): Sead Rešić, Tunjo Rešić
Subject(s): Financial Markets, ICT Information and Communications Technologies, Socio-Economic Research
Published by: INTERNACIONALNI UNIVERZITET TRAVNIK
Keywords: Multicriteria; linear fractional; goal programming;

Summary/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.

  • Issue Year: 2014
  • Issue No: 10
  • Page Range: 472-483
  • Page Count: 12
  • Language: Bosnian, Croatian
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