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DOI: 10.4230/OASIcs.WCET.2012.59

Timing Analysis of Concurrent Programs

Authors: Robert Mittermayr and Johann Blieberger

Published in: OASIcs, Volume 23, 12th International Workshop on Worst-Case Execution Time Analysis (2012)

Abstract

Worst-case execution time analysis of multi-threaded software is still a challenge. This comes mainly from the fact that the number of thread interleavings grows exponentially in the number of threads and that synchronization has to be taken into account. In particular, a suitable graph based model has been missing. The idea that thread interleavings can be studied with a matrix calculus is a novel approach in this research area. Our sparse matrix representations of the program are manipulated using Kronecker algebra. The resulting graph represents the multi-threaded program and plays a similar role for concurrent systems as control flow graphs do for sequential programs. Thus a suitable graph model for timing analysis of multi-threaded software has been set up. Due to synchronization it turns out that often only very small parts of the resulting graph are actually needed, whereas the rest is unreachable. A lazy implementation of the matrix operations ensures that the unreachable parts are never calculated. This speeds up processing significantly and shows that our approach is very promising.

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Robert Mittermayr and Johann Blieberger. Timing Analysis of Concurrent Programs. In 12th International Workshop on Worst-Case Execution Time Analysis. Open Access Series in Informatics (OASIcs), Volume 23, pp. 59-68, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2012)

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@InProceedings{mittermayr_et_al:OASIcs.WCET.2012.59,
  author =	{Mittermayr, Robert and Blieberger, Johann},
  title =	{{Timing Analysis of Concurrent Programs}},
  booktitle =	{12th International Workshop on Worst-Case Execution Time Analysis},
  pages =	{59--68},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-939897-41-5},
  ISSN =	{2190-6807},
  year =	{2012},
  volume =	{23},
  editor =	{Vardanega, Tullio},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.WCET.2012.59},
  URN =		{urn:nbn:de:0030-drops-35570},
  doi =		{10.4230/OASIcs.WCET.2012.59},
  annote =	{Keywords: Worst-case execution time analysis (WCET), Concurrency, Thread Synchronization, Kronecker Algebra, Program Analysis}
}

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DOI: 10.4230/DagSemProc.08161.2

Average Case Analysis of Some Elimination-Based Data-Flow Analysis Algorithms

Authors: Johann Blieberger

Published in: Dagstuhl Seminar Proceedings, Volume 8161, Scalable Program Analysis (2008)

Abstract

The average case of some elimination-based data-flow analysis algorithms is analyzed in a mathematical way. Besides this allows for comparing the timing behavior of the algorithms, it also provides insights into how relevant the underlying statistics are when compared to practical settings.

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Johann Blieberger. Average Case Analysis of Some Elimination-Based Data-Flow Analysis Algorithms. In Scalable Program Analysis. Dagstuhl Seminar Proceedings, Volume 8161, pp. 1-12, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008)

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@InProceedings{blieberger:DagSemProc.08161.2,
  author =	{Blieberger, Johann},
  title =	{{Average Case Analysis of Some Elimination-Based Data-Flow Analysis Algorithms}},
  booktitle =	{Scalable Program Analysis},
  pages =	{1--12},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2008},
  volume =	{8161},
  editor =	{Florian Martin and Hanne Riis Nielson and Claudio Riva and Markus Schordan},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.08161.2},
  URN =		{urn:nbn:de:0030-drops-15722},
  doi =		{10.4230/DagSemProc.08161.2},
  annote =	{Keywords: Average case analysis, elimination-based data-flow analysis algorithms, reducible flow graphs}
}

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Timing Analysis of Concurrent Programs

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Average Case Analysis of Some Elimination-Based Data-Flow Analysis Algorithms

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