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Methodology for the Assessment of Imprecise Multi-State System Availability

Author

Listed:
  • Joanna Akrouche

    (CNRS, Laboratoire Heudiasyc (Heuristics and Diagnosis of Complex Systems), Université de Technologie de Compiègne, CS 60 319, 60203 Compiègne, France)

  • Mohamed Sallak

    (CNRS, Laboratoire Heudiasyc (Heuristics and Diagnosis of Complex Systems), Université de Technologie de Compiègne, CS 60 319, 60203 Compiègne, France)

  • Eric Châtelet

    (12 Rue Marie Curie-CS 42060 10010, Université de Technologie de Troyes, UR InSyTE, 10300 Troyes, France)

  • Fahed Abdallah

    (Luxembourg Institute of Socio-Economic Research (LISER), 11 Porte des Sciences, L-4366 Esch-sur-Alzette, Luxembourg
    Faculty of Engineering, Lebanese University, Beirut 14-6573, Lebanon)

  • Hiba Hajj Chehade

    (Faculty of Engineering, Lebanese University, Beirut 14-6573, Lebanon)

Abstract

Most existing studies of a system’s availability in the presence of epistemic uncertainties assume that the system is binary. In this paper, a new methodology for the estimation of the availability of multi-state systems is developed, taking into consideration epistemic uncertainties. This paper formulates a combined approach, based on continuous Markov chains and interval contraction methods, to address the problem of computing the availability of multi-state systems with imprecise failure and repair rates. The interval constraint propagation method, which we refer to as the forward–backward propagation (FBP) contraction method, allows us to contract the probability intervals, keeping all the values that may be consistent with the set of constraints. This methodology is guaranteed, and several numerical examples of systems with complex architectures are studied.

Suggested Citation

  • Joanna Akrouche & Mohamed Sallak & Eric Châtelet & Fahed Abdallah & Hiba Hajj Chehade, 2022. "Methodology for the Assessment of Imprecise Multi-State System Availability," Mathematics, MDPI, vol. 10(1), pages 1-25, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:1:p:150-:d:717631
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    References listed on IDEAS

    as
    1. Lisnianski, Anatoly, 2007. "Extended block diagram method for a multi-state system reliability assessment," Reliability Engineering and System Safety, Elsevier, vol. 92(12), pages 1601-1607.
    2. Zio, E. & Marella, M. & Podofillini, L., 2007. "A Monte Carlo simulation approach to the availability assessment of multi-state systems with operational dependencies," Reliability Engineering and System Safety, Elsevier, vol. 92(7), pages 871-882.
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