Investigations of the Potential Application of k-out-of-n Systems in Oil and Gas Industry Objects
| Autor: | Victor Yu. Itkin, Vladimir Rykov, Mikhail G. Sukharev |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Scale (ratio)
Computer science Markov process Ocean Engineering 02 engineering and technology 01 natural sciences failure-free time lcsh:Oceanography symbols.namesake lcsh:VM1-989 Component (UML) 0103 physical sciences Applied mathematics lcsh:GC1-1581 Sensitivity (control systems) stationary mode probability of system failure Reliability (statistics) k-out-of-n-type systems Water Science and Technology Civil and Structural Engineering 010302 applied physics reliability Mathematical model Process (computing) lcsh:Naval architecture. Shipbuilding. Marine engineering 021001 nanoscience & nanotechnology repair time Kolmogorov equations symbols 0210 nano-technology |
| Zdroj: | Journal of Marine Science and Engineering Volume 8 Issue 11 Journal of Marine Science and Engineering, Vol 8, Iss 928, p 928 (2020) |
| ISSN: | 2077-1312 |
| DOI: | 10.3390/jmse8110928 |
| Popis: | The purpose of this paper was to demonstrate the possibilities of assessing the reliability of oil and gas industry structures with the help of mathematical models of k-out-of-n systems. We show how the reliability of various structures in the oil and gas complex can be described and investigated using k-out-of-n models. Because the initial information about the life and repair time of components of systems is only usually known on the scale of one and/or two moments, we focus on the problem of the sensitivity analysis of the system reliability indices to the shape of its components repair time distributions. To address this problem, we used the so-called markovization method, based on the introduction of supplementary variables, to model the system behavior with the help of the two-dimensional Markov process with discrete-continuous states. On the basis of the forward Kolmogorov equations for the time-dependent process&rsquo state probabilities, relevant balance equations for the process&rsquo stationary probabilities are presented. Using these equations, stationary probabilities and some reliability indices for two examples from the oil and gas industry were calculated and their sensitivity to the system component&rsquo s repair time distributions was analyzed. Calculations show that under &ldquo rare&rdquo component failures, most system reliability indices become practically insensitive to the shape of the components repair time distributions. |
| Databáze: | OpenAIRE |
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