A Stackelberg solution to a two-level linear fractional programming problem with interval coefficients in the objective functions

In this paper, two approaches were introduced to obtain Stackelberg solutions for two-level linear fractional programming problems with interval coefficients in the objective functions. The approaches were based on the Kth best method and the method for solving linear fractional programming problems...

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Main Authors: Borza, M, Rambely, A.S, Saraj, M
Format: Article
Language:English
Published: Universiti Kebangsaan Malaysia 2012
Online Access:http://journalarticle.ukm.my/5685/1/21%2520M.%2520Borza.pdf
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spelling my-ukm.journal.56852016-12-14T06:39:11Z http://journalarticle.ukm.my/5685/ A Stackelberg solution to a two-level linear fractional programming problem with interval coefficients in the objective functions Borza, M Rambely, A.S Saraj, M In this paper, two approaches were introduced to obtain Stackelberg solutions for two-level linear fractional programming problems with interval coefficients in the objective functions. The approaches were based on the Kth best method and the method for solving linear fractional programming problems with interval coefficients in the objective function. In the first approach, linear fractional programming with interval coefficients in the objective function and linear programming were utilized to obtain Stackelberg solution, but in the second approach only linear programming is used. Since a linear fractional programming with interval coefficients can be equivalently transformed into a linear programming, therefore both of approaches have same results. Numerical examples demonstrate the feasibility and effectiveness of the methods. Universiti Kebangsaan Malaysia 2012-12 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/5685/1/21%2520M.%2520Borza.pdf Borza, M and Rambely, A.S and Saraj, M (2012) A Stackelberg solution to a two-level linear fractional programming problem with interval coefficients in the objective functions. Sains Malaysiana, 41 (12). pp. 1651-1956. ISSN 0126-6039 http://www.ukm.my/jsm/
institution Universiti Kebangsaan Malaysia
building Perpustakaan Tun Sri Lanang Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Kebangsaan Malaysia
content_source UKM Journal Article Repository
url_provider http://journalarticle.ukm.my/
language English
description In this paper, two approaches were introduced to obtain Stackelberg solutions for two-level linear fractional programming problems with interval coefficients in the objective functions. The approaches were based on the Kth best method and the method for solving linear fractional programming problems with interval coefficients in the objective function. In the first approach, linear fractional programming with interval coefficients in the objective function and linear programming were utilized to obtain Stackelberg solution, but in the second approach only linear programming is used. Since a linear fractional programming with interval coefficients can be equivalently transformed into a linear programming, therefore both of approaches have same results. Numerical examples demonstrate the feasibility and effectiveness of the methods.
format Article
author Borza, M
Rambely, A.S
Saraj, M
spellingShingle Borza, M
Rambely, A.S
Saraj, M
A Stackelberg solution to a two-level linear fractional programming problem with interval coefficients in the objective functions
author_facet Borza, M
Rambely, A.S
Saraj, M
author_sort Borza, M
title A Stackelberg solution to a two-level linear fractional programming problem with interval coefficients in the objective functions
title_short A Stackelberg solution to a two-level linear fractional programming problem with interval coefficients in the objective functions
title_full A Stackelberg solution to a two-level linear fractional programming problem with interval coefficients in the objective functions
title_fullStr A Stackelberg solution to a two-level linear fractional programming problem with interval coefficients in the objective functions
title_full_unstemmed A Stackelberg solution to a two-level linear fractional programming problem with interval coefficients in the objective functions
title_sort stackelberg solution to a two-level linear fractional programming problem with interval coefficients in the objective functions
publisher Universiti Kebangsaan Malaysia
publishDate 2012
url http://journalarticle.ukm.my/5685/1/21%2520M.%2520Borza.pdf
http://journalarticle.ukm.my/5685/
http://www.ukm.my/jsm/
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score 13.211869