TY - JOUR
T1 - Methodology for the Assessment of Imprecise Multi-State System Availability
AU - Akrouche, Joanna
AU - Sallak, Mohamed
AU - Châtelet, Eric
AU - Abdallah, Fahed-Olivier
AU - Chehade, Hiba Hajj
PY - 2022/1/4
Y1 - 2022/1/4
N2 - 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.
AB - 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.
KW - Availability
KW - Contraction methods
KW - Interval analysis
KW - multi-state systems
UR - http://www.scopus.com/inward/record.url?scp=85122207700&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/b4396aef-ee44-39b8-8ced-6a58aea0c2f0/
U2 - 10.3390/math10010150
DO - 10.3390/math10010150
M3 - Article
SN - 2227-7390
VL - 10
JO - Mathematics
JF - Mathematics
IS - 1
M1 - 150
ER -