Abstract
An optimal inspection and replacement policy is discussed for a continuous time Markovian deterioration system whose state can be identified only by inspection. The costs incurred are inspection cost, operating cost and replacement cost. The problem is to determine an optimal policy which minimizes the expected total discounted cost in an infinite time span and to examine the structure of an optimal policy. Some properties are obtained, that is, a control limit rule for replacement holds and the inspection time interval becomes shorter as the system deteriorates.
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© 1984 Springer-Verlag Berlin Heidelberg
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Kawai, H. (1984). An Optimal Inspection and Replacement Policy of a Markovian Deterioration System. In: Osaki, S., Hatoyama, Y. (eds) Stochastic Models in Reliability Theory. Lecture Notes in Economics and Mathematical Systems, vol 235. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45587-2_12
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DOI: https://doi.org/10.1007/978-3-642-45587-2_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-13888-4
Online ISBN: 978-3-642-45587-2
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