The purpose of this article is to show the great interest of the use of propagation (or pruning) techniques, inside classical interval Branch-and-Bound algorithms. Therefore, a propagation technique based on the construction of the calculus tree is entirely explained and some properties are presented without the need of any formalism (excepted interval analysis). This approach is then validated on a real example: the optimal design of an electrical rotating machine.
@article{RO_2004__38_4_277_0, author = {Messine, Frederic}, title = {Deterministic global optimization using interval constraint propagation techniques}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {277--293}, publisher = {EDP-Sciences}, volume = {38}, number = {4}, year = {2004}, doi = {10.1051/ro:2004026}, mrnumber = {2178081}, zbl = {1114.90156}, language = {en}, url = {http://archive.numdam.org/articles/10.1051/ro:2004026/} }
TY - JOUR AU - Messine, Frederic TI - Deterministic global optimization using interval constraint propagation techniques JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2004 SP - 277 EP - 293 VL - 38 IS - 4 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/ro:2004026/ DO - 10.1051/ro:2004026 LA - en ID - RO_2004__38_4_277_0 ER -
%0 Journal Article %A Messine, Frederic %T Deterministic global optimization using interval constraint propagation techniques %J RAIRO - Operations Research - Recherche Opérationnelle %D 2004 %P 277-293 %V 38 %N 4 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/ro:2004026/ %R 10.1051/ro:2004026 %G en %F RO_2004__38_4_277_0
Messine, Frederic. Deterministic global optimization using interval constraint propagation techniques. RAIRO - Operations Research - Recherche Opérationnelle, Tome 38 (2004) no. 4, pp. 277-293. doi : 10.1051/ro:2004026. http://archive.numdam.org/articles/10.1051/ro:2004026/
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