Document Type
Article
Publication Date
3-24-2020
Publication Title
Mathematics
Abstract
In this paper a two component redundant renewable system operating under the Marshall–Olkin failure model is considered. The purpose of the study is to find analytical expressions for the time dependent and the steady state characteristics of the system. The system cycle process characteristics are analyzed by the use of probability interpretation of the Laplace–Stieltjes transformations (LSTs), and of probability generating functions (PGFs). In this way the long mathematical analytic derivations are avoid. As results of the investigations, the main reliability characteristics of the system—the reliability function and the steady state probabilities—have been found in analytical form. Our approach can be used in the studies of various applications of systems with dependent failures between their elements.
Volume
8
Issue
3
First Page
1
Last Page
12
DOI
https://doi.org/10.3390/math8030459
Recommended Citation
Dimitrov, Boyan; Rykov, Vladimir; and Milovanova, Tatiana, "Renewal Redundant Systems Under the Marshall–Olkin Failure Model. A Probability Analysis" (2020). Mathematics Publications. 75.
https://digitalcommons.kettering.edu/mathematics_facultypubs/75
