On the dependabilty function of a ⟨GIk≤n|GI|l⟩ system. Part II. Numerical study and sensitivity analysis
https://doi.org/10.21683/1729-2646-2024-24-4-3-11
Abstract
Based on the theoretical findings presented in the first part of the paper, this part investigates the main characteristics of the dependability of a k-out-of-n system with arbitrary distributions of failure-free time and time to component repair. Using the marks transformations proposed in Part I of the paper and simulation, various probabilistic and temporal characteristics of the model are calculated and studied, while their sensitivity to the initial distributions and their parameters is analyzed.
About the Authors
V. V. Rykov
National University of Oil and Gas (Gubkin University)
Russian Federation
Russian Federation
Vladimir V. Rykov, Doctor of Physics and Mathematics, Professor, Professor,
65, korp. 1, Leninsky prospekt, Moscow.
N. M. Ivanova
Institute of Control Sciences of the Russian Academy of Sciences
Russian Federation
Russian Federation
Nika M. Ivanova, Candidate of Physics and Mathematics, Senior Researcher,
65, Profsoyuznaya str., Moscow.
References
1. Rykov V.V., Ivanova N.M. On the dependability function of the system 〈GIk≤n|GI|l〉. Part I. Analytical results. Dependability 2024;24(3):34-43. https://doi.org/10.21683/1729-2646-2024-24-3-34-43. (in Russ.)
2. Rykov V., Kozyrev D., Filimonov A. et al. On reliability of a k-out-of-n system with general repair time distribution. Probability in the Engineering and Informational Sciences 2021;35(4):885-902. DOI: 10.1017/S0269964820000285
Review
For citations:
Rykov V.V., Ivanova N.M. On the dependabilty function of a ⟨GIk≤n|GI|l⟩ system. Part II. Numerical study and sensitivity analysis. Dependability. 2024;24(4):3-11. (In Russ.) https://doi.org/10.21683/1729-2646-2024-24-4-3-11
Views:
264
ISSN 1729-2646 (Print)
ISSN 2500-3909 (Online)
ISSN 2500-3909 (Online)
Email this article 