2 Search Results for "Monteil, Thierry"


Document
Correctness and Efficiency Criteria for the Multi-Phase Task Model

Authors: Rémi Meunier, Thomas Carle, and Thierry Monteil

Published in: LIPIcs, Volume 231, 34th Euromicro Conference on Real-Time Systems (ECRTS 2022)


Abstract
This paper investigates how the multi-phase representation of real-time tasks impacts their implementation and the precision of the interference analysis in a multi-core context. In classical scheduling and interference analyses, tasks are represented as a single phase with a duration equal to their Worst-Case Execution Time (WCET) in isolation, annotated with their worst-case number of accesses. We propose a general formal definition of a task model in which tasks are represented as a sequence of such phases: the multi-phase model. We then provide a set of general correction criteria for the implementation of tasks represented in the multi-phase model, which is agnostic of the analysis method applied on the tasks. We also use the multi-phase model on an avionics case-study and study its impact on the interference analysis. Finally, we define a set of efficiency criteria using a statistical study of the most efficient multi-phase shapes.

Cite as

Rémi Meunier, Thomas Carle, and Thierry Monteil. Correctness and Efficiency Criteria for the Multi-Phase Task Model. In 34th Euromicro Conference on Real-Time Systems (ECRTS 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 231, pp. 9:1-9:21, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)


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@InProceedings{meunier_et_al:LIPIcs.ECRTS.2022.9,
  author =	{Meunier, R\'{e}mi and Carle, Thomas and Monteil, Thierry},
  title =	{{Correctness and Efficiency Criteria for the Multi-Phase Task Model}},
  booktitle =	{34th Euromicro Conference on Real-Time Systems (ECRTS 2022)},
  pages =	{9:1--9:21},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-239-6},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{231},
  editor =	{Maggio, Martina},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.ECRTS.2022.9},
  URN =		{urn:nbn:de:0030-drops-163267},
  doi =		{10.4230/LIPIcs.ECRTS.2022.9},
  annote =	{Keywords: Task model, Interference, Multicore architectures}
}
Document
An Effective Construction for Cut-And-Project Rhombus Tilings with Global n-Fold Rotational Symmetry

Authors: Victor H. Lutfalla

Published in: OASIcs, Volume 90, 27th IFIP WG 1.5 International Workshop on Cellular Automata and Discrete Complex Systems (AUTOMATA 2021)


Abstract
We give an explicit and effective construction for rhombus cut-and-project tilings with global n-fold rotational symmetry for any n. This construction is based on the dualization of regular n-fold multigrids. The main point is to prove the regularity of these multigrids, for this we use a result on trigonometric diophantine equations. A SageMath program that computes these tilings and outputs svg files is publicly available in [Lutfalla, 2021].

Cite as

Victor H. Lutfalla. An Effective Construction for Cut-And-Project Rhombus Tilings with Global n-Fold Rotational Symmetry. In 27th IFIP WG 1.5 International Workshop on Cellular Automata and Discrete Complex Systems (AUTOMATA 2021). Open Access Series in Informatics (OASIcs), Volume 90, pp. 9:1-9:12, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)


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@InProceedings{lutfalla:OASIcs.AUTOMATA.2021.9,
  author =	{Lutfalla, Victor H.},
  title =	{{An Effective Construction for Cut-And-Project Rhombus Tilings with Global n-Fold Rotational Symmetry}},
  booktitle =	{27th IFIP WG 1.5 International Workshop on Cellular Automata and Discrete Complex Systems (AUTOMATA 2021)},
  pages =	{9:1--9:12},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-95977-189-4},
  ISSN =	{2190-6807},
  year =	{2021},
  volume =	{90},
  editor =	{Castillo-Ramirez, Alonso and Guillon, Pierre and Perrot, K\'{e}vin},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/OASIcs.AUTOMATA.2021.9},
  URN =		{urn:nbn:de:0030-drops-140182},
  doi =		{10.4230/OASIcs.AUTOMATA.2021.9},
  annote =	{Keywords: Cut-and-project tiling, Rhombus tiling, Aperiodic order, Rotational symmetry, De Bruijn multigrid, Trigonometric diophantine equations}
}
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