A dynamic flowgraph methodology approach based on binary decision diagrams

Research output: Chapter in Book/Report/Conference proceedingConference article in proceedingsScientificpeer-review

3 Citations (Scopus)

Abstract

The dynamic flowgraph methodology (DFM) is an approach to model and analyze the behavior of dynamic systems for reliability assessment. The methodology can be utilized to identify how certain postulated top events may occur in a system. The result is a set of prime implicants which represent system faults resulting from diverse combinations of software logic errors, hardware failures, human errors, and adverse environmental conditions. A binary decision diagram (BDD) is a data structure used to represent Boolean functions applied, e.g., in fault tree analysis and model checking. This paper presents an alternative DFM approach based on BDD called YADRAT. The objective of a YADRAT model analysis is to find the root causes of the query (top event) of interest, similarly to traditional fault tree analysis. The main difference of YADRAT compared to the existing DFM approach is that YADRAT employs a BDD to represent a DFM model. Two different approaches to solving a BDD model have been implemented for exact computation of prime implicants. These approaches have previously been applied in static failure tree analysis. In this work the ideas for prime implicant calculation are adapted to a dynamic reliability approach combined with the multi-valued logic of DFM. In this paper the basic concepts and algorithms of YADRAT and the identified strengths and limitations of the employed approach are discussed. Also a case study illustrating the usage of YADRAT and a comparison of computational effort between two BDD implementations is presented
Original languageEnglish
Title of host publicationProceedings of 2011 International Topical Meeting on Probabilistic Safety Assessment and Analysis, PSA 2011
Place of PublicationLa Grange Park, Illinois, 60526 USA
PublisherAmerican Nuclear Society ANS
Pages267-278
ISBN (Print)978-0-8944-8089-8
Publication statusPublished - 2011
MoE publication typeA4 Article in a conference publication
EventInternational Topical Meeting on Probabilistic Safety Assessment and Analysis, PSA 2011 - Wilmington, NC, United States
Duration: 13 Mar 201117 Mar 2011

Conference

ConferenceInternational Topical Meeting on Probabilistic Safety Assessment and Analysis, PSA 2011
Abbreviated titlePSA 2011
CountryUnited States
CityWilmington, NC
Period13/03/1117/03/11

Fingerprint

Binary decision diagrams
Fault tree analysis
Boolean functions
Model checking
Data structures
Dynamical systems
Hardware

Keywords

  • reliability analysis
  • binary decision diagram
  • dynamic flowgraph methodology

Cite this

Björkman, K., & Karanta, I. (2011). A dynamic flowgraph methodology approach based on binary decision diagrams. In Proceedings of 2011 International Topical Meeting on Probabilistic Safety Assessment and Analysis, PSA 2011 (pp. 267-278). La Grange Park, Illinois, 60526 USA: American Nuclear Society ANS.
Björkman, Kim ; Karanta, Ilkka. / A dynamic flowgraph methodology approach based on binary decision diagrams. Proceedings of 2011 International Topical Meeting on Probabilistic Safety Assessment and Analysis, PSA 2011. La Grange Park, Illinois, 60526 USA : American Nuclear Society ANS, 2011. pp. 267-278
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abstract = "The dynamic flowgraph methodology (DFM) is an approach to model and analyze the behavior of dynamic systems for reliability assessment. The methodology can be utilized to identify how certain postulated top events may occur in a system. The result is a set of prime implicants which represent system faults resulting from diverse combinations of software logic errors, hardware failures, human errors, and adverse environmental conditions. A binary decision diagram (BDD) is a data structure used to represent Boolean functions applied, e.g., in fault tree analysis and model checking. This paper presents an alternative DFM approach based on BDD called YADRAT. The objective of a YADRAT model analysis is to find the root causes of the query (top event) of interest, similarly to traditional fault tree analysis. The main difference of YADRAT compared to the existing DFM approach is that YADRAT employs a BDD to represent a DFM model. Two different approaches to solving a BDD model have been implemented for exact computation of prime implicants. These approaches have previously been applied in static failure tree analysis. In this work the ideas for prime implicant calculation are adapted to a dynamic reliability approach combined with the multi-valued logic of DFM. In this paper the basic concepts and algorithms of YADRAT and the identified strengths and limitations of the employed approach are discussed. Also a case study illustrating the usage of YADRAT and a comparison of computational effort between two BDD implementations is presented",
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Björkman, K & Karanta, I 2011, A dynamic flowgraph methodology approach based on binary decision diagrams. in Proceedings of 2011 International Topical Meeting on Probabilistic Safety Assessment and Analysis, PSA 2011. American Nuclear Society ANS, La Grange Park, Illinois, 60526 USA, pp. 267-278, International Topical Meeting on Probabilistic Safety Assessment and Analysis, PSA 2011, Wilmington, NC, United States, 13/03/11.

A dynamic flowgraph methodology approach based on binary decision diagrams. / Björkman, Kim; Karanta, Ilkka.

Proceedings of 2011 International Topical Meeting on Probabilistic Safety Assessment and Analysis, PSA 2011. La Grange Park, Illinois, 60526 USA : American Nuclear Society ANS, 2011. p. 267-278.

Research output: Chapter in Book/Report/Conference proceedingConference article in proceedingsScientificpeer-review

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AB - The dynamic flowgraph methodology (DFM) is an approach to model and analyze the behavior of dynamic systems for reliability assessment. The methodology can be utilized to identify how certain postulated top events may occur in a system. The result is a set of prime implicants which represent system faults resulting from diverse combinations of software logic errors, hardware failures, human errors, and adverse environmental conditions. A binary decision diagram (BDD) is a data structure used to represent Boolean functions applied, e.g., in fault tree analysis and model checking. This paper presents an alternative DFM approach based on BDD called YADRAT. The objective of a YADRAT model analysis is to find the root causes of the query (top event) of interest, similarly to traditional fault tree analysis. The main difference of YADRAT compared to the existing DFM approach is that YADRAT employs a BDD to represent a DFM model. Two different approaches to solving a BDD model have been implemented for exact computation of prime implicants. These approaches have previously been applied in static failure tree analysis. In this work the ideas for prime implicant calculation are adapted to a dynamic reliability approach combined with the multi-valued logic of DFM. In this paper the basic concepts and algorithms of YADRAT and the identified strengths and limitations of the employed approach are discussed. Also a case study illustrating the usage of YADRAT and a comparison of computational effort between two BDD implementations is presented

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Björkman K, Karanta I. A dynamic flowgraph methodology approach based on binary decision diagrams. In Proceedings of 2011 International Topical Meeting on Probabilistic Safety Assessment and Analysis, PSA 2011. La Grange Park, Illinois, 60526 USA: American Nuclear Society ANS. 2011. p. 267-278