Bounds and approximation results for scheduling coupled-tasks with compatibility constraints

Rodolphe Giroudeau 1 Jean-Claude König 1 Benoit Darties 2, 1 Gilles Simonin 3
1 MAORE - Méthodes Algorithmes pour l'Ordonnancement et les Réseaux
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
2 Le2i - Laboratoire Electronique, Informatique et Image [UMR6303]
3 Insight Centre for Data Analytics [Dublin]
Abstract : This article is devoted to propose some lower and upper bounds for the coupled-tasks scheduling problem in presence of compatibility constraints according to classical complexity hypothesis ($\mathcal{P} \neq \mathcal{NP}$, $\mathcal{ETH}$). Moreover, we develop an efficient polynomial-time approximation algorithm for the specific case for which the topology describing the compatibility constraints is a quasi split-graph.
Keywords : coupled-task compatibility graph complexity approximation
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Conference papers
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  • HAL Id : lirmm-01313722, version 1
  • ARXIV : 1706.02200

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Rodolphe Giroudeau, Jean-Claude König, Benoit Darties, Gilles Simonin. Bounds and approximation results for scheduling coupled-tasks with compatibility constraints. PMS: Project Management and Scheduling, Apr 2016, Valencia, Spain. pp.94-97. ⟨lirmm-01313722⟩

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