Izvorni znanstveni članak
https://doi.org/10.17535/crorr.2017.0016
Analysis of the efficiency of the linearization techniques for solving multi-objective linear fractional programming problems by goal programming
Tunjo Perić
orcid.org/0000-0002-0886-8037
; Department of Mathematics, Faculty of Economics and Business, University of Zagreb, J. F. Kennedy 6, 10 000 Zagreb, Croatia
Zoran Babić
; Department of Quantitative Methods, Faculty of Economics, University of Split, 21 000 Split, Croatia
Maid Omerović
; Faculty for Education, University of Travnik, 72270 Travnik, Bosnia and Herzegovina
Sažetak
This paper presents and analyzes the applicability of three linearization techniques used for solving multi-objective linear fractional programming problems using the goal programming method. The three linearization techniques are: (1) Taylor’s polynomial linearization approximation, (2) the method of variable change, and (3) a modification of the method of variable change proposed in [20]. All three linearization techniques are presented and analyzed in two variants: (a) using the optimal value of the objective functions as the decision makers’ aspirations, and (b) the decision makers’ aspirations are given by the decision makers. As the criteria for the analysis we use the efficiency of the obtained solutions and the difficulties the analyst comes upon in preparing the linearization models. To analyze the applicability of the linearization techniques incorporated in the linear goal programming method we use an example of a financial structure optimization problem.
Ključne riječi
linear fractional programming model; linearization techniques; goal programming
Hrčak ID:
181661
URI
Datum izdavanja:
15.4.2017.
Posjeta: 2.120 *