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Optimal strategies for some repair replacement models

Published online by Cambridge University Press:  01 July 2016

Wolfgang Stadje  and
Dror Zuckerman
Wolfgang Stadje*
Affiliation:
University of Osnabrück
Dror Zuckerman*
Affiliation:
Hebrew University, Jerusalem
*
∗Postal address: Fachbereich Mathematik/Informatik, Universität Osnabrück, 4500 Osnabrück, Postfach 4469, W. Germany.
∗∗Postal address: Jerusalem School of Business Administration, The Hebrew University, Mount Scopus, Jerusalem 91905, Israel.
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Abstract

The problem of finding optimal replacement strategies for certain classes of failure systems is considered. These systems can be repaired upon failure, but are stochastically deteriorating, i.e., the lengths of the operating intervals decrease in some sense, whereas the durations of the repairs increase. For several models of this type optimal replacement strategies are derived under natural assumptions on the reward and the cost structure.

Keywords

FAILURE SYSTEMSSTOCHASTIC DETERIORATIONOPTIMAL REPLACEMENT STRATEGIESSTOPPING TIMES
Type
Research Article
Information
Advances in Applied Probability , Volume 22 , Issue 3 , September 1990 , pp. 641 - 656
Copyright
Copyright © Applied Probability Trust 1990 

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