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Some results on block replacement policies and renewal theory

Part of: Special processes

Published online by Cambridge University Press:  14 July 2016

Moshe Shaked  and
Haolong Zhu
Moshe Shaked*
Affiliation:
University of Arizona
Haolong Zhu*
Affiliation:
University of Arizona
*
∗ Postal address for both authors: Department of Mathematics, Building #89, University of Arizona, Tucson, AZ 85721, USA.
∗ Postal address for both authors: Department of Mathematics, Building #89, University of Arizona, Tucson, AZ 85721, USA.
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Abstract

Age and block replacement policies are commonly used in order to reduce the number of in-service failures. The focus in this paper is on the block replacement policies, about which relatively less is known than age replacement policies. Several new results which connect the properties of block replacement policies with the properties of the corresponding renewal function and the excess lifetimes are obtained. Some applications and the relationships between these new results and some known results are included.

Keywords

RELIABILITY THEORYIN-SERVICE FAILURESRENEWAL FUNCTIONEXCESS LIFETIMEIFRDFRNBUNWUNBUENWUE

MSC classification

Primary: 60K10: Applications (reliability, demand theory, etc.)
Type
Research Papers
Information
Journal of Applied Probability , Volume 29 , Issue 4 , December 1992 , pp. 932 - 946
Copyright
Copyright © Applied Probability Trust 1992 

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Footnotes

Research supported by the AFOSR Grant AFOSR-90–0201. Reproduction in whole or in part is permitted for any purpose by the United States Government.

References

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