| Issue |
RAIRO-Oper. Res.
Volume 36, Number 1, January-March 2002
|
|
|---|---|---|
| Page(s) | 21 - 36 | |
| DOI | https://doi.org/10.1051/ro:2002003 | |
| Published online | 15 July 2002 | |
On the hardness of approximating the UET-UCT scheduling problem with hierarchical communications
1
Laboratoire de Méthodes Informatiques (LaMI),
Université d'Evry-Val-d'Essonne, UMR 8042 du CNRS, 523 place des Terrasses,
Immeuble ÉVRY-II, 91000 Evry, France; bampis@lami.univ-evry.fr.
giroudeau@lami.univ-evry.fr.
2
LIRMM, Université de Montpellier II, UMR 5506 du CNRS, 161 rue Ada, 34392 Montpellier Cedex 5, France;
konig@lirmm.fr.
Received:
September
1999
We consider the unit execution time unit communication time (UET-UCT) scheduling model with hierarchical communica tions [CITE], and we study the impact of the hierarchical communications hypothesis on the hardness of approximation. We prove that there is no polynomial time approximation algorithm with performance guarantee smaller than 5/4 (unless P = NP). This result is an extension of the result of Hoogeveen et al. [CITE] who proved that there is no polynomial time ρ-approximation algorithm with p < 7/6 for the classical UET-UCT scheduling problem with homogeneous communication delays and an unrestricted number of identical machines.
Mathematics Subject Classification: 90B35
Key words: Scheduling / hierarchical communications / non-approxima bility.
© EDP Sciences, 2002
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