A New Linearization Approach for Solving Multi Objective Linear Fractional Programming Problem.
Tunjo Perić, Zoran Babić
Abstract
Tunjo Perić, Zoran Babić
Abstract
In this paper we propose a new linearization approach for solving multi objective linear fractional programming problems by using goal programming methods. The applicability of the proposed methodology has been tested on the example of financial structure optimization of a company. The obtained results show the advantages of the proposed methodology compared to the existing methods. The proposed methodology is simple for both the analyst and the decision maker. Determining objective function weights by the decision maker, the obtained solutions reflect the decision maker's preferences.
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In this paper we propose a new linearization approach for solving multi objective linear fractional programming problems by using goal programming methods. The applicability of the proposed methodology has been tested on the example of financial structure optimization of a company. The obtained results show the advantages of the proposed methodology compared to the existing methods. The proposed methodology is simple for both the analyst and the decision maker. Determining objective function weights by the decision maker, the obtained solutions reflect the decision maker's preferences.
Key concepts: Fractional programming, Decision maker, Linearization, Linear programming, Mathematical optimization, Linear-fractional programming, Simple (philosophy), Nonlinear programming