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An Exact Method for a Discrete Multiobjective Linear Fractional Optimization
Joint Authors
Moulaï, Mustapha
Chergui, Mohamed El-Amine
Source
Journal of Applied Mathematics and Decision Sciences
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-04-13
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Integer linear fractional programming problem with multiple objective (MOILFP) is an important field of research and has not received as much attention as did multiple objective linear fractional programming.
In this work, we develop a branch and cut algorithm based on continuous fractional optimization, for generating the whole integer efficient solutions of the MOILFP problem.
The basic idea of the computation phase of the algorithm is to optimize one of the fractional objective functions, then generate an integer feasible solution.
Using the reduced gradients of the objective functions, an efficient cut is built and a part of the feasible domain not containing efficient solutions is truncated by adding this cut.
A sample problem is solved using this algorithm, and the main practical advantages of the algorithm are indicated.
American Psychological Association (APA)
Chergui, Mohamed El-Amine& Moulaï, Mustapha. 2008. An Exact Method for a Discrete Multiobjective Linear Fractional Optimization. Journal of Applied Mathematics and Decision Sciences،Vol. 2008, no. 2008, pp.1-12.
https://search.emarefa.net/detail/BIM-496576
Modern Language Association (MLA)
Chergui, Mohamed El-Amine& Moulaï, Mustapha. An Exact Method for a Discrete Multiobjective Linear Fractional Optimization. Journal of Applied Mathematics and Decision Sciences No. 2008 (2008), pp.1-12.
https://search.emarefa.net/detail/BIM-496576
American Medical Association (AMA)
Chergui, Mohamed El-Amine& Moulaï, Mustapha. An Exact Method for a Discrete Multiobjective Linear Fractional Optimization. Journal of Applied Mathematics and Decision Sciences. 2008. Vol. 2008, no. 2008, pp.1-12.
https://search.emarefa.net/detail/BIM-496576
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496576