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Repair replacement policies

Part of: Special processes Distribution theory - Probability Operations research and management science Survival analysis and censored data

Published online by Cambridge University Press:  14 July 2016

Henry W. Block ,
Naftali A. Langberg  and
Thomas H. Savits
Henry W. Block*
Affiliation:
University of Pittsburgh
Naftali A. Langberg*
Affiliation:
Haifa University
Thomas H. Savits*
Affiliation:
University of Pittsburgh
*
∗ Postal address: Department of Mathematics and Statistics, University of Pittsburgh, Pittsburgh, PA 15260, USA.
∗∗ Postal address: Department of Statistics, Haifa University, Mount Carmel, Haifa, Israel.
∗ Postal address: Department of Mathematics and Statistics, University of Pittsburgh, Pittsburgh, PA 15260, USA.
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Abstract

In this paper we introduce the concept of repair replacement. Repair replacement is a maintenance policy in which items are preventively maintained when a certain time has elapsed since their last repair. This differs from age replacement where a certain amount of time has elapsed since the last replacement. If the last repair was a complete repair, repair replacement is essentially the same as age replacement. It is in the case of minimal repair that these two policies differ. We make comparison between various types of policies in order to determine when and under which condition one type of policy is better than another.

Keywords

AGE REPLACEMENTBLOCK REPLACEMENTMINIMAL REPAIR REPLACEMENTREPAIR REPLACEMENTSTOCHASTIC COMPARISON

MSC classification

Primary: 62N05: Reliability and life testing
Secondary: 60K10: Applications (reliability, demand theory, etc.) 90B25: Reliability, availability, maintenance, inspection 60E15: Inequalities; stochastic orderings
Type
Research Papers
Information
Journal of Applied Probability , Volume 30 , Issue 1 , March 1993 , pp. 194 - 206
Copyright
Copyright © Applied Probability Trust 1993 

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Footnotes

Supported by AFOSR Grant No. AFOSR-84-0113, AFOSR-89-0370, and NSA Grant No. MDA-904-90-H-4036.

Partially supported by AFOSR Grant No. AFOSR-84-0113.

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