Zerdani, Ouiza and Moulai, Mustapha (2011): Optimization over an integer efficient set of a Multiple Objective Linear Fractional Problem. Published in: Applied Mathematical Sciences , Vol. Vol. 5, No. no. 50 (10. May 2011): pp. 24512466.

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Abstract
The problem of optimizing a real valued function over an efficient set of the Multiple Objective Linear Fractional Programming problem (MOLFP) is an important field of research and has not received as much attention as did the problem of optimizing a linear function over an efficient set of the Multiple Objective Linear Programming problem (MOLP).In this work an algorithm is developed that optimizes an arbitrary linear function over an integer efficient set of problem (MOLFP) without explicitly having to enumerate all the efficient solutions. The proposed method is based on a simple selection technique that improves the linear objective value at each iteration.A numerical illustration is included to explain the proposed method.
Item Type:  MPRA Paper 

Original Title:  Optimization over an integer efficient set of a Multiple Objective Linear Fractional Problem 
Language:  English 
Keywords:  Integer programming, Optimization over the efficient set, Multiple objective linear fractional programming, Global optimization 
Subjects:  I  Health, Education, and Welfare > I2  Education and Research Insititutions > I23  Higher Education Research Institutions C  Mathematical and Quantitative Methods > C6  Mathematical Methods; Programming Models; Mathematical and Simulation Modeling > C61  Optimization Techniques; Programming Models; Dynamic Analysis 
Item ID:  35579 
Depositing User:  Mustapha MOULAI 
Date Deposited:  26. Dec 2011 21:03 
Last Modified:  11. Feb 2013 16:39 
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URI:  http://mpra.ub.unimuenchen.de/id/eprint/35579 