Généralisation max-plus des bornes de Lageweg, Lenstra et Rinnooy Kan
RAIRO - Operations Research - Recherche Opérationnelle, Tome 37 (2003) no. 4, pp. 273-289.

Le traditionnel problème d'ordonnancement de type flowshop se généralise en un problème d'optimisation matricielle dans l'algèbre Max-Plus. Une famille de bornes inférieures est présentée pour ce nouveau problème et la preuve est apportée que ces bornes généralisent les bornes de Lageweg et al.

The traditional flowshop scheduling problem can be generalised to a matricial optimisation problem in Max-Plus algebra. A family of lower bounds is developped for this new problem and proof is given that these bounds are a generalisation of the lower bounds of Lageweg et al.

@article{RO_2003__37_4_273_0,
     author = {Lent\'e, Christophe and Bouquard, Jean-Louis},
     title = {G\'en\'eralisation max-plus des bornes de Lageweg, Lenstra et Rinnooy Kan},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {273--289},
     publisher = {EDP-Sciences},
     volume = {37},
     number = {4},
     year = {2003},
     doi = {10.1051/ro:2004006},
     zbl = {1092.90024},
     mrnumber = {2065243},
     language = {fr},
     url = {http://archive.numdam.org/articles/10.1051/ro:2004006/}
}
Lenté, Christophe; Bouquard, Jean-Louis. Généralisation max-plus des bornes de Lageweg, Lenstra et Rinnooy Kan. RAIRO - Operations Research - Recherche Opérationnelle, Tome 37 (2003) no. 4, pp. 273-289. doi : 10.1051/ro:2004006. http://archive.numdam.org/articles/10.1051/ro:2004006/

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