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Complexity of Master-slave Tasking on Heterogeneous Trees

Pierre-François Dutot 1, 2
1 APACHE - Parallel algorithms and load sharing
ID-IMAG - Informatique et Distribution, Inria Grenoble - Rhône-Alpes, UJF - Université Joseph Fourier - Grenoble 1
Abstract : In this paper, we consider the problem of scheduling independent identical tasks on heterogeneous processors and network, where processing times and communications times are different. We assume that communication-computation overlap is possible for every processor, but only allow one send and one receive at a time. In this model, we prove that scheduling on a tree network is NP-hard in the strong sense, reducing the problem to the well-known 3-partition problem.
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Submitted on : Wednesday, February 1, 2006 - 1:29:10 PM
Last modification on : Friday, February 4, 2022 - 3:08:50 AM
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Pierre-François Dutot. Complexity of Master-slave Tasking on Heterogeneous Trees. European Journal of Operational Research, Elsevier, 2005, 164 (3), pp.690-695. ⟨inria-00001076⟩

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