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

Saïd Hanafi; Arnaud Fréville

RAIRO - Operations Research (2010)

  • Volume: 35, Issue: 2, page 251-267
  • ISSN: 0399-0559

Abstract

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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, 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.

How to cite

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Hanafi, Saïd, and Fréville, Arnaud. "Extension of Reverse Elimination Method Through a Dynamic Management of the Tabu List." RAIRO - Operations Research 35.2 (2010): 251-267. <http://eudml.org/doc/197806>.

@article{Hanafi2010,
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. },
author = {Hanafi, Saïd, Fréville, Arnaud},
journal = {RAIRO - Operations Research},
keywords = {reverse elimination method; dynamic management; the tabu list},
language = {eng},
month = {3},
number = {2},
pages = {251-267},
publisher = {EDP Sciences},
title = {Extension of Reverse Elimination Method Through a Dynamic Management of the Tabu List},
url = {http://eudml.org/doc/197806},
volume = {35},
year = {2010},
}

TY - JOUR
AU - Hanafi, Saïd
AU - Fréville, Arnaud
TI - Extension of Reverse Elimination Method Through a Dynamic Management of the Tabu List
JO - RAIRO - Operations Research
DA - 2010/3//
PB - EDP Sciences
VL - 35
IS - 2
SP - 251
EP - 267
AB - 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.
LA - eng
KW - reverse elimination method; dynamic management; the tabu list
UR - http://eudml.org/doc/197806
ER -

References

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