Probabilistic Analysis of a Redundant Repairable System with Two Service Operations
- Authors: Kakubava R.V.1, Sztrik J.2, Svanidze N.A.3
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Affiliations:
- Georgian Technical University
- University of Debrecen
- Shota Rustaveli Batumi State University
- Issue: Vol 237, No 6 (2019)
- Pages: 782-788
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/242453
- DOI: https://doi.org/10.1007/s10958-019-04204-1
- ID: 242453
Cite item
Abstract
A redundant system with two types of maintenance services, with single repair server and single replacement server, is considered. The replacement and repair times are random variables. Mathematical model for dependability and performance analysis is constructed and investigated in transient (time-dependent mode). An explicit solution in terms of matrix exponential calculus for transient probabilities is obtained.
About the authors
R. V. Kakubava
Georgian Technical University
Author for correspondence.
Email: r.kakubava@gmail.com
Georgia, Tbilisi
J. Sztrik
University of Debrecen
Email: r.kakubava@gmail.com
Hungary, Debrecen
N. A. Svanidze
Shota Rustaveli Batumi State University
Email: r.kakubava@gmail.com
Georgia, Batumi
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