Optimal replacement and maintenance of systems subject to semi-Markov damage
type: Item
instance of: scholarly article
title: Optimal replacement and maintenance of systems subject to semi-Markov damage
zbMATH Open document ID: 0729.60083
DOI: 10.1016/0304-4149(91)90065-K
author: N. E. Zubov
published in: Stochastic Processes and their Applications
publication date: 1991-01-01T00:00:00Z
review text: The paper considers a system which is subject to damage and fails once the damage exceeds the capacity of the system. The cumulative damage process is assumed to be an increasing semi-Markov process. It is assumed that the system can be replaced before or at failure, is maintained continuously and that the maintenance and non-failure costs are state- dependent. The authors determine the optimal replacement policy under the criterion of expected total discounted cost. Further, they find optimal replacement policy under the criterion of long-run average cost. Some special cases are discussed and numerical examples are also presented.
Mathematics Subject Classification ID: 60K15
Mathematics Subject Classification ID: 60K20
zbMATH DE Number: 4205562
zbMATH Keywords: damage process
zbMATH Keywords: optimal replacement
zbMATH Keywords: cumulative damage
zbMATH Keywords: semi-Markov process
zbMATH Keywords: long-run average cost
zbMATH Keywords: numerical examples
reviewed by: Ashok Sahai
MaRDI profile type: Publication
cites work: Life Distribution Properties of Devices Subject to a Lévy Wear Process
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cites work: Q5612894
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cites work: Pure jump shock models in reliability
cites work: Optimal replacement with semi-Markov shock models
full work available at URL: 0304-4149(91)90065-k
OpenAlex ID: W2013533056
description: scientific article; zbMATH DE number 4205562