Methodology for the Assessment of Imprecise Multi-State System Availability

Mathematics

Eric Châtelet¹  Mohamed Sallak²  Joanna Akrouche²  Hiba Hajj Chehade³  Fahed Abdallah⁴ 

[1] 12 Rue Marie Curie-CS 42060 10010, Université de Technologie de Troyes, UR InSyTE, 10300 Troyes, France;CNRS, Laboratoire Heudiasyc (Heuristics and Diagnosis of Complex Systems), Université de Technologie de Compiègne, CS 60 319, 60203 Compiègne, France;Faculty of Engineering, Lebanese University, Beirut 14-6573, Lebanon;Luxembourg Institute of Socio-Economic Research (LISER), 11 Porte des Sciences, L-4366 Esch-sur-Alzette, Luxembourg;

关键词: multi-state systems;    availability;    interval analysis;    contraction methods;   

DOI  :  10.3390/math10010150

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown