On the hardness of approximating the UET-UCT scheduling problem with hierarchical communications
RAIRO - Operations Research - Recherche Opérationnelle, Tome 36 (2002) no. 1, pp. 21-36.

We consider the unit execution time unit communication time (UET-UCT) scheduling model with hierarchical communications [1], 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. [6] who proved that there is no polynomial time ρ-approximation algorithm with ρ<7/6 for the classical UET-UCT scheduling problem with homogeneous communication delays and an unrestricted number of identical machines.

DOI : https://doi.org/10.1051/ro:2002003
Classification : 90B35
Mots clés : scheduling, hierarchical communications, non-approximability
@article{RO_2002__36_1_21_0,
     author = {Bampis, Evripidis and Giroudeau, R. and K\"onig, J.-C.},
     title = {On the hardness of approximating the UET-UCT scheduling problem with hierarchical communications},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {21--36},
     publisher = {EDP-Sciences},
     volume = {36},
     number = {1},
     year = {2002},
     doi = {10.1051/ro:2002003},
     zbl = {1005.90031},
     mrnumber = {1920377},
     language = {en},
     url = {http://www.numdam.org/articles/10.1051/ro:2002003/}
}
Bampis, Evripidis; Giroudeau, R.; König, J.-C. On the hardness of approximating the UET-UCT scheduling problem with hierarchical communications. RAIRO - Operations Research - Recherche Opérationnelle, Tome 36 (2002) no. 1, pp. 21-36. doi : 10.1051/ro:2002003. http://www.numdam.org/articles/10.1051/ro:2002003/

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