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An Algorithm For Solving Multiple Objective Integer Linear Programming Problem

Published online by Cambridge University Press:  15 July 2003

Moncef Abbas
Affiliation:
Faculté de Mathématiques, Département de Recherche Opérationnelle, BP. 32, El-Alia Bab-Ezzouar, Alger, Algérie; chaabane_dj@yahoo.fr.
Djamal Chaabane
Affiliation:
Faculté de Mathématiques, Département de Recherche Opérationnelle, BP. 32, El-Alia Bab-Ezzouar, Alger, Algérie; chaabane_dj@yahoo.fr.
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Abstract

In the present paper a complete procedure for solvingMultiple Objective Integer Linear Programming Problems is presented. The algorithm can be regarded as a corrected form and an alternative to the method that was proposed by Gupta and Malhotra. A numerical illustration is given to show that this latter can miss some efficient solutions. Whereas, the algorithm stated bellow determines all efficient solutions without missing any one.

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Type
Research Article
Copyright
© EDP Sciences, 2002

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