Local search over generalized neighborhood for an optimization problem of pseudo-Boolean functions
Diskretnyj analiz i issledovanie operacij, Tome 18 (2011) no. 4, pp. 3-16
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We consider an algorithm for local search with generalized neighborhood for a pseudo-Boolean function optimization problem. A generalized neighborhood is constructed for locally optimal solutions that contains other locally optimal solutions which surround the former. We bring results of numerical experiments with usage of pseudo-Boolean functions whose optimization is equivalent to problems of facility location, set coverage, and competitive facility location. The aim of experiments is comparative estimating of locally optimal solutions obtained with the common local search algorithm and the algorithm of local search with generalized neighborhood. Tabl. 6, bibliogr. 11.
Keywords:
optimization, local search, facility location problem, set coverage problem.
Mots-clés : polynomial of Boolean variables
Mots-clés : polynomial of Boolean variables
@article{DA_2011_18_4_a0,
author = {V. L. Beresnev and E. N. Goncharov and A. A. Mel'nikov},
title = {Local search over generalized neighborhood for an optimization problem of {pseudo-Boolean} functions},
journal = {Diskretnyj analiz i issledovanie operacij},
pages = {3--16},
publisher = {mathdoc},
volume = {18},
number = {4},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DA_2011_18_4_a0/}
}
TY - JOUR AU - V. L. Beresnev AU - E. N. Goncharov AU - A. A. Mel'nikov TI - Local search over generalized neighborhood for an optimization problem of pseudo-Boolean functions JO - Diskretnyj analiz i issledovanie operacij PY - 2011 SP - 3 EP - 16 VL - 18 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DA_2011_18_4_a0/ LA - ru ID - DA_2011_18_4_a0 ER -
%0 Journal Article %A V. L. Beresnev %A E. N. Goncharov %A A. A. Mel'nikov %T Local search over generalized neighborhood for an optimization problem of pseudo-Boolean functions %J Diskretnyj analiz i issledovanie operacij %D 2011 %P 3-16 %V 18 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/DA_2011_18_4_a0/ %G ru %F DA_2011_18_4_a0
V. L. Beresnev; E. N. Goncharov; A. A. Mel'nikov. Local search over generalized neighborhood for an optimization problem of pseudo-Boolean functions. Diskretnyj analiz i issledovanie operacij, Tome 18 (2011) no. 4, pp. 3-16. http://geodesic.mathdoc.fr/item/DA_2011_18_4_a0/