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We present in this paper a new multiobjective memetic algorithm scheme called MEMOX. In current multiobjective memetic algorithms, the parents used for recombination are randomly selected. We improve this approach by using a dynamic hypergrid which allows to select a parent located in a region of minimal density. The second parent selected is a solution close, in the objective space, to the first parent. A local search is then applied to the offspring. We experiment this scheme with a new multiobjective tabu search called PRTS, which leads to the memetic algorithm MEMOTS. We show on the multidimensional multiobjective knapsack problem that if the number of objectives increase, it is preferable to have a diversified research rather using an advanced local search. We compare the memetic algorithm MEMOTS to other multiobjective memetic algorithms by using different quality indicators and show that the performances of the method are very interesting.
Keywords: combinatorial multiobjective optimization, hybrid metaheuristic, memetic algorithm, Tabu search, knapsack
@article{RO_2008__42_1_3_0,
author = {Lust, Thibaut and Teghem, Jacques},
title = {MEMOTS : a memetic algorithm integrating tabu search for combinatorial multiobjective optimization},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {3--33},
publisher = {EDP-Sciences},
volume = {42},
number = {1},
year = {2008},
doi = {10.1051/ro:2008003},
mrnumber = {2400273},
zbl = {1170.90479},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/ro:2008003/}
}
TY - JOUR AU - Lust, Thibaut AU - Teghem, Jacques TI - MEMOTS : a memetic algorithm integrating tabu search for combinatorial multiobjective optimization JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2008 SP - 3 EP - 33 VL - 42 IS - 1 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/ro:2008003/ DO - 10.1051/ro:2008003 LA - en ID - RO_2008__42_1_3_0 ER -
%0 Journal Article %A Lust, Thibaut %A Teghem, Jacques %T MEMOTS : a memetic algorithm integrating tabu search for combinatorial multiobjective optimization %J RAIRO - Operations Research - Recherche Opérationnelle %D 2008 %P 3-33 %V 42 %N 1 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/ro:2008003/ %R 10.1051/ro:2008003 %G en %F RO_2008__42_1_3_0
Lust, Thibaut; Teghem, Jacques. MEMOTS : a memetic algorithm integrating tabu search for combinatorial multiobjective optimization. RAIRO - Operations Research - Recherche Opérationnelle, Tome 42 (2008) no. 1, pp. 3-33. doi: 10.1051/ro:2008003
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