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Some notes on two types of minimal repair

Part of: Special processes

Published online by Cambridge University Press:  01 July 2016

M. S. Finkelstein
M. S. Finkelstein*
Affiliation:
Electropribor Institute, St Petersburg
*
∗Central Research Institute ‘Electropribor', Malaya Posadskaya str. 30, 197046 St Petersburg, Russia. Postal address: Socialisticheskaya str. 6, 17, 191002 St Petersburg, Russia.
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Abstract

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Two types of minimal repair are discussed. After statistical minimal repair, the state of a system is statistically identical to what it was just before the failure. Physical minimal repair restores the failed unit to its exact physical condition before the failure. Several examples are given.

Keywords

PHYSICAL MINIMAL REPAIRSTATISTICAL MINIMAL REPAIRMAINTENANCE

MSC classification

Primary: 60K10: Applications (reliability, demand theory, etc.)
Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 24 , Issue 1 , March 1992 , pp. 226 - 228
Copyright
Copyright © Applied Probability Trust 1992 

References

[1] Arjas, E. and Norros, I. (1989) Change of life distribution via a hazard transformation: an inequality with application to minimal repair. Math. Operat. Res. 14, 355–361.CrossRefGoogle Scholar
[2] Barlow, R. E. and Proschan, F. (1965) Mathematical Theory of Reliability. Wiley, New York.Google Scholar
[3] Bergman, B. (1985) On reliability theory and its applications. Scand. J. Statist. 12, 1–41.Google Scholar
[4] Finkelstein, M. S. (1991) Reliability of Technical Systems with Imperfect Repair (in Russian). Znanie, Moscow.Google Scholar
[5] Natvig, B. (1990) On information-based minimal repair and the reduction in remaining system lifetime due to the failure of a specific module. J. Appl. Prob. 27, 365–375.CrossRefGoogle Scholar