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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 435030, 4 pages
http://dx.doi.org/10.1155/2013/435030
Research Article

A Proposal to the Solution of Multiobjective Linear Fractional Programming Problem

Department of Mathematics, Faculty of Art and Sciences, Yildiz Technical University, Davutpaşa, 34210 Istanbul, Turkey

Received 18 March 2013; Accepted 10 September 2013

Academic Editor: Mustafa Bayram

Copyright © 2013 Nuran Güzel. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We have proposed a new solution to the Multiobjective Linear Fractional Programming Problem (MOLFPP). The proposed solution is based on a theorem that deals with nonlinear fractional programming with single objective function and studied in the work by Dinkelbach, 1967. As a new contribution, we have proposed that is an efficient solution of MOLFPP if is an optimal solution of problem , where is for all . Hence, MOLFPP is simply reduced to linear programming problem (LPP). Some numerical examples are provided in order to illustrate the applications of the proposed method. The optimization software package, namely, WinQSB (Chang, 2001), has been employed in the computations.