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Finding the minimal cut sequences of dynamic, repairable, and reconfigurable systems from Generalized Boolean logic Driven Markov Process models

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Listed:
  • Pierre-Yves Piriou
  • Jean-Marc Faure
  • Jean-Jacques Lesage

Abstract

Minimal cut sequences computation is the main objective of qualitative safety analysis of dynamic systems. This article shows first that the existing definitions of minimal cut sequences are not suitable when these systems are both repairable and reconfigurable. A new definition for this class of systems as well as an algorithm to compute these sequences from a safety analysis model, in the form of a Generalized Boolean logic Driven Markov Processes model, are then proposed. These contributions are illustrated on a case study from power industry. Comparison of the obtained minimal cut sequences to those which are yielded by algorithms based on the previous definitions permits to highlight the relevance of the approach.

Suggested Citation

  • Pierre-Yves Piriou & Jean-Marc Faure & Jean-Jacques Lesage, 2022. "Finding the minimal cut sequences of dynamic, repairable, and reconfigurable systems from Generalized Boolean logic Driven Markov Process models," Journal of Risk and Reliability, , vol. 236(1), pages 209-220, February.
    • Handle: RePEc:sae:risrel:v:236:y:2022:i:1:p:209-220
    DOI: 10.1177/1748006X19827128
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    References listed on IDEAS

    as
    1. Rauzy, Antoine B., 2011. "Sequence Algebra, Sequence Decision Diagrams and Dynamic Fault Trees," Reliability Engineering and System Safety, Elsevier, vol. 96(7), pages 785-792.
    2. Brameret, P.-A. & Rauzy, A. & Roussel, J.-M., 2015. "Automated generation of partial Markov chain from high level descriptions," Reliability Engineering and System Safety, Elsevier, vol. 139(C), pages 179-187.
    3. Piriou, Pierre-Yves & Faure, Jean-Marc & Lesage, Jean-Jacques, 2017. "Generalized Boolean logic Driven Markov Processes: A powerful modeling framework for Model-Based Safety Analysis of dynamic repairable and reconfigurable systems," Reliability Engineering and System Safety, Elsevier, vol. 163(C), pages 57-68.
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