Volume 36, Number 1, January-March 2002
|Page(s)||21 - 36|
|Published online||15 July 2002|
On the hardness of approximating the UET-UCT scheduling problem with hierarchical communications
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; firstname.lastname@example.org.
2 LIRMM, Université de Montpellier II, UMR 5506 du CNRS, 161 rue Ada, 34392 Montpellier Cedex 5, France; email@example.com.
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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