On the calculation of a set of spare parts that have two types of failures
https://doi.org/10.21683/1729-2646-2022-22-3-21-28
Abstract
Aim. The paper aims to develop an algorithm that would allow finding the required number of items (SPTA) for a complex system, whose elements may or may not be maintainable.
Methods. Markov models were used for describing the system. The final probabilities were obtained using the Kolmogorov equation. The Kolmogorov system of equations has a stationary solution. Classical methods of the probability theory and mathematical dependability theory were used.
Conclusions. The paper formalizes the problem of determining the required number of SPTAs for a system with elements that have a probability of being repaired. A Markov graph is constructed. Using induction, a stationary solution was found for the Kolmogorov system of equations. An example of finding the required number of SPTAs is given.
About the Authors
A. V. Antonov
Rosatom Technical Academy
Russian Federation
Russian Federation
Alexander V. Antonov, Doctor of Engineering, Professor, Chief Expert, Department for International Cooperation and Global Business Development
Obninsk
V. A. Chepurko
Rusatom Automated Control Systems
Russian Federation
Russian Federation
Valery A. Chepurko, Candidate of Physics and Mathematics, Associate Professor, Chief Specialist, Division for Computational Substantiation of Design Solutions
Moscow
References
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Review
For citations:
Antonov A.V., Chepurko V.A. On the calculation of a set of spare parts that have two types of failures. Dependability. 2022;22(3):21-28. (In Russ.) https://doi.org/10.21683/1729-2646-2022-22-3-21-28
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ISSN 1729-2646 (Print)
ISSN 2500-3909 (Online)
ISSN 2500-3909 (Online)
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