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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  and
Djamal Chaabane
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 solving Multiple 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.

Keywords

Multiple objective programminginteger linear programming.
Type
Research Article
Information
RAIRO - Operations Research , Volume 36 , Issue 4 , October 2002 , pp. 351 - 364
Copyright
© EDP Sciences, 2002

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