A linear programming approach to test efficiency in multi-objective linear fractional programming problems

In a multi-objective linear fractional programming problem (MOLFPP), it is often useful to check the efficiency of a given feasible solution, and if the solution is efficient, it is useful to check strong or weak efficiency. In this paper, by applying a geometrical interpretation, a linear programmi...

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Bibliographic Details
Published in:Applied mathematical modelling Vol. 34; no. 12; pp. 4179 - 4183
Main Authors: Lotfi, Farhad Hosseinzadeh, Noora, Abbas Ali, Jahanshahloo, Gholam Reza, Khodabakhshi, Mohammad, Payan, Ali
Format: Journal Article
Language:English
Published: Kidlington Elsevier Inc 01.12.2010
Elsevier
Subjects:
Applied sciences
Computational efficiency
Computing time
Construction
Decision theory. Utility theory
Exact sciences and technology
Linear programming
Mathematical models
Mathematical programming
Modelling
Multi-objective linear fractional programming problem (MOLFPP)
Operational research and scientific management
Operational research. Management science
Programming
Strongly efficient point
Weakly efficient point
Strongly efficient point
Weakly efficient point
Multi-objective linear fractional programming problem (MOLFPP)
Efficiency
Multiobjective programming
Linear programming
Fractional programming
Rational function
ISSN:0307-904X
Online Access:Get full text
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Summary:In a multi-objective linear fractional programming problem (MOLFPP), it is often useful to check the efficiency of a given feasible solution, and if the solution is efficient, it is useful to check strong or weak efficiency. In this paper, by applying a geometrical interpretation, a linear programming approach is achieved to test weak efficiency. Also, in order to test strong efficiency for a given weakly efficient point, a linear programming approach is constructed.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:0307-904X
DOI:10.1016/j.apm.2010.04.015