Year: 2024
Type: article
Abstract: The paper aims to study the primary dependability characteristics of restorable k-out-of-n systems with arbitrary distributions of failure-free time and time to component repair, as well as the total number of repair units. A k-out-of-n system is a system consisting of n components that fails when k out of its (k≤n) components fail. l repair devices are available for restoring failed components. Such a system is denoted as k≤n|GI|l>. The research employed marked Markov processes and the theory of order statistics. Using the proposed approach, a mathematical system model was constructed, marks transformations were mapped and analytic expressions for calculating their distributions were given. In the following part of the paper, using the proposed method, a simulation algorithm will be defined for the purpose of assessing the key dependability characteristics. It will not only enable a numerical study of such systems, but will also help analyse the sensitivity of the dependability characteristics to the initial system parameters.
Source: Dependability
Authors: V. V. Rykov, N. M. Ivanova
Language: English
Subfield: Safety, Risk, Reliability and Quality
Field: Engineering
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4402574976