On the calculation of a set of spare parts that have two types of failures

Author:

Antonov A. V.1,Chepurko V. A.2

Affiliation:

1. Rosatom Technical Academy

2. Rusatom Automated Control Systems

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.

Publisher

Journal Dependability

Subject

General Medicine

Reference13 articles.

1. Shishonok N.A., Repkin V.F., Barvinsky L.L. [Foundations of the theory of dependability and operation of electronic equipment]. Moscow: Sovetskoye radio; 1964. (in Russ.)

2. Antonov A.V., Plyaskin A.V. On a Question of Calculation of Reliability of a System with Restricted Number of Spare Elements. Izvestiya vuzov. Yadernaya Energetika 2000;2:12-23. (in Russ.)

3. Antonov A.V, Plyaskin A.V., Chepurko V.A. [Optimizing the number of spare parts of safety-critical nuclear power plant equipment]. Methods of quality management 2001;8:27-31. (in Russ.)

4. Antonov А.V., Plyaskin A.V. [Identifying the optimal number of spare elements of a system subject to cost restrictions]. Dependability 2003;4:9-16. (in Russ.)

5. Antonov A.V., Plyaskin A.V., Tatayev Kh.N. [Optimizing spare components of nuclear power plant reactors using nonlinear programming]. Surveys on Applied and Industrial Mathematics 2011;1(18):100-101. (in Russ.)

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