A Proposal to the Solution of Multiobjective Linear Fractional Programming Problem
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-03
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
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 Maxx∈X∑i=1k(Ni(x)-Zi*Di(x)), where is Zi*=Ni(xi*)/Di(xi*) 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.
American Psychological Association (APA)
Güzel, Nuran. 2013. A Proposal to the Solution of Multiobjective Linear Fractional Programming Problem. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-471982
Modern Language Association (MLA)
Güzel, Nuran. A Proposal to the Solution of Multiobjective Linear Fractional Programming Problem. Abstract and Applied Analysis No. 2013 (2013), pp.1-4.
https://search.emarefa.net/detail/BIM-471982
American Medical Association (AMA)
Güzel, Nuran. A Proposal to the Solution of Multiobjective Linear Fractional Programming Problem. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-471982
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-471982