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Comparison of two replacement policies

Published online by Cambridge University Press:  14 July 2016

Antonín Lešanovský
Antonín Lešanovský*
Affiliation:
Mathematical Institute, Prague
*
∗ Postal address: Mathematical Institute of the Czechoslovak Academy of Siences, Žitná 25, 115 67 Prague 1, Czechoslovakia.
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Abstract

Two models of a system with a single activated unit which can be in a finite number of states are considered. The unit is subject to Markovian deterioration, and it is possible to replace it before its failure. Inspections of the system are carried out at discrete time instants. The only difference between the two models is when the replacements take effect — immediately at the instant when the corresponding decision is made, or with the next inspection. The paper shows that this difference is much more essential than one might expect, and proves a relation between the optimal replacement strategies in the models concerned.

Keywords

ONE-UNIT SYSTEMMARKOVIAN DETERIORATIONAVERAGE COST CRITERION

Information

Type
Research Paper
Information
Journal of Applied Probability , Volume 23 , Issue 3 , September 1986, pp. 759 - 769
Copyright
Copyright © Applied Probability Trust 1986 

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References

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