Methodology for the Assessment of Imprecise Multi-State System Availability

Joanna Akrouche, Mohamed Sallak, Eric Châtelet, Fahed Abdallah and Hiba Hajj Chehade
Additional contact information
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
Hiba Hajj Chehade: Faculty of Engineering, Lebanese University, Beirut 14-6573, Lebanon

Mathematics, 2022, vol. 10, issue 1, 1-25

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.

Keywords: multi-state systems; availability; interval analysis; contraction methods (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/1/150/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/1/150/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:1:p:150-:d:717631

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().