Open Access
Translator Disclaimer
2013 A Proposal to the Solution of Multiobjective Linear Fractional Programming Problem
Nuran Güzel
Abstr. Appl. Anal. 2013(SI50): 1-4 (2013). DOI: 10.1155/2013/435030

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 x ¯ is an efficient solution of MOLFPP if x ¯ is an optimal solution of problem M a x x X i = 1 k ( N i ( x ) - Z i * D i ( x ) ) , where is Z i * = N i ( x i * ) / D i ( x i * ) for all i . 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.

Citation

Download Citation

Nuran Güzel. "A Proposal to the Solution of Multiobjective Linear Fractional Programming Problem." Abstr. Appl. Anal. 2013 (SI50) 1 - 4, 2013. https://doi.org/10.1155/2013/435030

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1291.90257
MathSciNet: MR3124071
Digital Object Identifier: 10.1155/2013/435030

Rights: Copyright © 2013 Hindawi

JOURNAL ARTICLE
4 PAGES


SHARE
Vol.2013 • No. SI50 • 2013
Back to Top