Service interruption on Monday 11 July from 12:30 to 13:00: all the sites of the CCSD (HAL, EpiSciences, SciencesConf, AureHAL) will be inaccessible (network hardware connection).
Skip to Main content Skip to Navigation
Journal articles

Theoretical Aspects of Scheduling Coupled-Tasks in the Presence of Compatibility Graph

Abstract : This paper presents a generalization of the coupled-task sche-duling problem introduced by Shapiro \cite{Shapiro}, where considered tasks are subject to incompatibility constraints depicted by an undirected graph. The motivation of this problem comes from data acquisition and processing in a mono-processor torpedo used for underwater exploration. As we add the compatibility graph, we focus on complexity of the problem, and more precisely on the boundary between $\mathcal{P}$ and $\mathcal{NP}$-completeness when some other input parameters are restricted (e.g. the ratio between the durations of the two sub-tasks composing a task): we adapt the global visualization of the complexity of scheduling problems with coupled-task given by Orman and Potts \cite{op1997} to our model, determine new complexity results, and thus propose a new visualization including incompatibility constraints. In the end, we give a new polynomial-time approximation algorithm result which completes previous works.
Document type :
Journal articles
Complete list of metadata
Contributor : Rodolphe Giroudeau Connect in order to contact the contributor
Submitted on : Monday, July 9, 2012 - 12:45:44 PM
Last modification on : Monday, July 4, 2022 - 9:33:03 AM


  • HAL Id : lirmm-00715828, version 1


Rodolphe Giroudeau, Benoit Darties, Jean-Claude König, Gilles Simonin. Theoretical Aspects of Scheduling Coupled-Tasks in the Presence of Compatibility Graph. Algorithmic Operations Research, Preeminent Academic Facets, 2012, 7 (1), pp.1-12. ⟨lirmm-00715828⟩



Record views