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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Universiti Kebangsaan Malaysia
2012
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| Online Access: | http://journalarticle.ukm.my/5685/ http://journalarticle.ukm.my/5685/ http://journalarticle.ukm.my/5685/1/21%2520M.%2520Borza.pdf |
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ukm-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/ |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
Universiti Kebangasaan Malaysia |
| building |
UKM Institutional Repository |
| collection |
Online Access |
| 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/ http://journalarticle.ukm.my/5685/ http://journalarticle.ukm.my/5685/1/21%2520M.%2520Borza.pdf |
| first_indexed |
2023-09-18T19:44:50Z |
| last_indexed |
2023-09-18T19:44:50Z |
| _version_ |
1777405830966018048 |