ON SOME PROPERTIES OF KIJIMA INCOMPLETE RECOVERY MODELS
https://doi.org/10.21683/1729-2646-2015-0-3-3-15
Abstract
The article analyses some properties of Kijima incomplete recovery models using a Weibull distribution for time to first failure. The maximum likelihood method is used for assessment of distribution parameters and recovery coefficient. Confidence limits have been identified using a Fisher information matrix. The authors consider cases of processing data from several identical elements and prove the inverse relationship between the deviation value and the number of elements. The paper examines two ways of assessing the leading function of the deteriorating component flow. A comparison is made between the new approach that represents the leading function of the flow as the ultimate sum and the approach that uses the statistical testing method. The paper suggests the method of calculation of the average direct time and reverse residual time based on the statistical testing method. Several demonstration examples are given.
About the Authors
I. A. Chumakov
Obninsk Institute for Nuclear Power Engineering – Branch of National Research Nuclear University MEPhI
Russian Federation
Postgraduate student of «ACS» Chair
Russian Federation
Postgraduate student of «ACS» Chair
V. A. Chepurko
Obninsk Institute for Nuclear Power Engineering – Branch of National Research Nuclear University MEPhI
Russian Federation
Candidate of physical-mathematical sciences, Assistant Professor of «ACS» Chair
Russian Federation
Candidate of physical-mathematical sciences, Assistant Professor of «ACS» Chair
A. V. Antonov
Obninsk Institute for Nuclear Power engineering – Branch of National Research Nuclear University MEPhI
Russian Federation
Doctor of Technical Sciences, Professor of «ACS» Chair
Russian Federation
Doctor of Technical Sciences, Professor of «ACS» Chair
References
1. Wibowo W. On approaches for repairable system analysis : Renewal Process, Nonhomogenous Poisson Process, General Renewal Process /W. Wibowo // Indonesia, Jurnal Industri, 2010 – Vol.9, №1 – P.60-66.
2. Kaminsky М., Krivtsov V. Use of the Monte Carlo method in the evaluation of the extended recovery process as part of failure data analysis during the warranty period // Reliability: Theory & Applications. – 2006. – Issue No. 1 – P. 32 – 34.
3. Mettas A., Zhao W. Modeling and Analysis of Repairable Systems with General Repair // Reliability and Maintainability Symposium, 2005 – P.176-182.
4. Chumakov I.А., Antonov А.V. Evaluation of dependability characteristics on the assumption of incomplete recovery // Dependability. – 2014. – Issue No. 1 (48). – P. 3 11.
5. Guo H., Liao H., Pulido J. Failure Process Modeling For Systems With General Repairs// MMR 2011. International Conference on Mathematical Methods in Reliability, 2011.
6. Antonov А.V. System analysis. Textbook for higher educational institutions / – Moscow: Vyshaya shkola, 2004. – 454 p.
7. Beihelt F., Franken P., Reliability and maintenance / – Moscow: Radio i sviaz, 1988. – 357 p.
8. Bakhvalov N.S., Zhidkov N.P., Kobelkov G.М. Numerical techniques / – Moscow: Nauka, 2003. – 635 p.
9. Chepurko V.А., Chepurko S.V. Non-uniform streams models in the renewal theory / – Obninsk: NRNU MEPhI, 2012. – 162 p.
Review
For citations:
Chumakov I.A., Chepurko V.A., Antonov A.V. ON SOME PROPERTIES OF KIJIMA INCOMPLETE RECOVERY MODELS. Dependability. 2015;(3):3-15. https://doi.org/10.21683/1729-2646-2015-0-3-3-15
Views:
603
ISSN 1729-2646 (Print)
ISSN 2500-3909 (Online)
ISSN 2500-3909 (Online)
Email this article 