Critical state of non-coherent multi-state system. (November 2021)

• Record Type: Journal Article
• Authors: Sedlacek, Peter; Zaitseva, Elena; Levashenko, Vitaly; Kvassay, Miroslav
• Is Part Of: Reliability engineering & system safety. Volume 215(2021)
• Publication Date: 2021-11
• Subjects: Reliability analysis -- Multi-valued logic -- Multi-state system -- Non-coherent system -- Structure function -- Logic differential calculus; Reliability (Engineering) -- Periodicals; System safety -- Periodicals; Industrial safety -- Periodicals; Fiabilité -- Périodiques; Sécurité des systèmes -- Périodiques; Sécurité du travail -- Périodiques; 620.00452
• DOI: 10.1016/j.ress.2021.107824
• Languages: English
• ISSNs: 0951-8320

Abstract

Abstract: Non-coherent systems represent a specific group of systems in context of reliability analysis. These systems are characteristic by existence of situations in which degradation of a system component can result in improvement of the whole system. Non-coherent systems are mostly investigated in case of Binary-State Systems (BSSs) that admit two performance levels for modeling system as well as its components. Properties of these systems have been studied and algorithms for calculation of most of reliability measures have been developed. However, in case of Multi-State Systems (MSSs), the situation is completely different. Non-coherent MSSs have been studied only marginally with focus on homogeneous MSSs. In this paper, we deal with heterogeneous non-coherent MSSs, generalize existing definitions for them and develop a new approach for computation of their critical system states, which play a key role in importance analysis. The analysis of non-coherent MSSs considered in this paper is implemented based on its representation in a form of time independent structure function. Highlights: Non-coherent Multi-State System (MSS) analysis. The analysis of different definitions of component relevancy for MSSs. The definition of critical system states for non-coherent MSSs. The development of logical derivatives for analysis of non-coherent MSSs. The computation of critical system states for non-coherent MSSs.