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Extension of Reverse Elimination Method Through a Dynamic Managementof the Tabu List

Published online by Cambridge University Press:  15 August 2002

Saïd Hanafi and
Arnaud Fréville
Saïd Hanafi
Affiliation:
LAMIH, UMR 8530 du CNRS, ROI – Groupe Recherche Opérationnelle et Informatique, Université de Valenciennes et du Hainaut-Cambrésis, Le Mont Houy, 59313 Valenciennes Cedex, France; hanafi@univ-valenciennes.fr.
Arnaud Fréville
Affiliation:
LAMIH, UMR 8530 du CNRS, ROI – Groupe Recherche Opérationnelle et Informatique, Université de Valenciennes et du Hainaut-Cambrésis, Le Mont Houy, 59313 Valenciennes Cedex, France; freville@univ-valenciennes.fr.
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Abstract

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, the so-called REM-t method proposed by Glover (1990) where t is an integer parameter which controls the number of tabu attributes. A suitable adjustment of this parameter t can be designed in order to create a balance between diversification and intensification. In this paper, new dynamic rules for controlling the adjustment of the parameter t, are proposed. Finally, to illustrate the differences between the variants proposed for managing the tabu list, we test some of them on the 0–1 multidimensional knapsack problem.

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Type
Research Article
Information
RAIRO - Operations Research , Volume 35 , Issue 2: ROADEF'99 , April 2001, pp. 251 - 267
Copyright
© EDP Sciences, 2001

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