mdh.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Combining decomposition and reduction for state space analysis of a self-stabilizing system
Carl von Ossietzky University of Oldenburg, Oldenburg, Germany.
Carl von Ossietzky University of Oldenburg, Oldenburg, Germany.
Carl von Ossietzky University of Oldenburg, Oldenburg, Germany.
2012 (English)In: Proceedings - International Conference on Advanced Information Networking and Applications, AINA2012, 2012, 936-943 p.Conference paper, Published paper (Refereed)
Abstract [en]

Verifying fault tolerance properties of a distributed system can be achieved by state space analysis via Markov chains. Yet, the power of such exact analytic methods is con ned by exponential growth of the chain's state space in the size of the system modeled. We propose a method that alleviates this limit. Lumping is a well known reduction technique that can be applied to a Markov chain to prune redundant information. We propose a system decomposition to employ lumping piecewise on the considerably smaller Markov chains of the subsystems which are much more likely to be tractable. Recomposing the lumped Markov chains of the subsystems results in a state space that is likely to be considerably smaller. An example demonstrates how the limiting window availability (i.e. a fault tolerance property) can be computed for a system while exploiting the combination of lumping and decomposition.

Place, publisher, year, edition, pages
2012. 936-943 p.
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:mdh:diva-30506DOI: 10.1109/AINA.2012.127ISI: 000309071500127Scopus ID: 2-s2.0-84860740797ISBN: 978-1-4673-0714-7 (print)OAI: oai:DiVA.org:mdh-30506DiVA: diva2:886273
Conference
Advanced Information Networking and Applications (AINA), 2012 IEEE 26th International Conference on AINA2012, 26-29 Mar 2012, Fukuoka, Japan
Projects
TOCSYC - Testing of Critical System Characteristics (KKS)
Available from: 2015-12-22 Created: 2015-12-21 Last updated: 2015-12-22Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Müllner, Nils
Electrical Engineering, Electronic Engineering, Information Engineering

Search outside of DiVA

GoogleGoogle Scholar

doi
isbn
urn-nbn

Altmetric score

doi
isbn
urn-nbn
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf