On the convergence of optimization algorithms
E. Polak (1969)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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E. Polak (1969)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Predrag S. Stanimirović, Milan B. Tasić, Miroslav Ristić (1999)
The Yugoslav Journal of Operations Research
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Nada I. Žuranović-Miličić (2000)
The Yugoslav Journal of Operations Research
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Konstantinos Dosios, Konstantinos Paparrizos (1994)
The Yugoslav Journal of Operations Research
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Lindfield, G.R., Simpson, D.C. (1979)
International Journal of Mathematics and Mathematical Sciences
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Moncef Abbas, Djamal Chaabane (2002)
RAIRO - Operations Research - Recherche Opérationnelle
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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.
Miroslav Tůma (1991)
Kybernetika
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El-Alem, Mahmoud M., Abdel-Aziz, Mohammedi R., El-Bakry, Amr S. (2001)
International Journal of Mathematics and Mathematical Sciences
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Pierre Hansen, Brigitte Jaumard, Junjie Xiong (1998)
The Yugoslav Journal of Operations Research
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Saïd Hanafi, Arnaud Fréville (2001)
RAIRO - Operations Research - Recherche Opérationnelle
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The Reverse Elimination Method (REM) is a dynamic strategy for managing the tabu list. It is based on logical interdependencies between the solutions encountered during recent iterations of the search. REM provides both a necessary and sufficient condition to prevent cycling. The purpose of this paper is first to incorporate in REM a chronological order rule when cycling is unavoidable, thereby assuring the finite convergence of Tabu Search. Secondly, we correct a generalization of REM,...