Geodesic
Deterministic global optimization using interval constraint propagation techniques
RAIRO - Operations Research - Recherche Opérationnelle, Tome 38 (2004) no. 4, pp. 277-293

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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.

DOI : 10.1051/ro:2004026
Keywords: interval analysis, branch-and-bound, global optimization, pruning/propagation techniques 
@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://geodesic.mathdoc.fr/articles/10.1051/ro:2004026/}
}
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DO  - 10.1051/ro:2004026
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%I EDP-Sciences
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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

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