Max-Plus generalization of Lageweg, Lenstra and Rinnooy Kan's lower bounds

Christophe Lenté; Jean-Louis Bouquard

RAIRO - Operations Research (2010)

  • Volume: 37, Issue: 4, page 273-289
  • ISSN: 0399-0559

Abstract

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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.

How to cite

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Lenté, Christophe, and Bouquard, Jean-Louis. "Généralisation Max-Plus des bornes de Lageweg, Lenstra et Rinnooy Kan." RAIRO - Operations Research 37.4 (2010): 273-289. <http://eudml.org/doc/105295>.

@article{Lenté2010,
abstract = { 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. },
author = {Lenté, Christophe, Bouquard, Jean-Louis},
journal = {RAIRO - Operations Research},
language = {fre},
month = {3},
number = {4},
pages = {273-289},
publisher = {EDP Sciences},
title = {Généralisation Max-Plus des bornes de Lageweg, Lenstra et Rinnooy Kan},
url = {http://eudml.org/doc/105295},
volume = {37},
year = {2010},
}

TY - JOUR
AU - Lenté, Christophe
AU - Bouquard, Jean-Louis
TI - Généralisation Max-Plus des bornes de Lageweg, Lenstra et Rinnooy Kan
JO - RAIRO - Operations Research
DA - 2010/3//
PB - EDP Sciences
VL - 37
IS - 4
SP - 273
EP - 289
AB - 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.
LA - fre
UR - http://eudml.org/doc/105295
ER -

References

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