Abstract
In this paper a maintenance problem of a road-type construction, which we call “road”, is discussed. A road is assumed to be inspected periodically, and its state being the degree of its deterioration is observed. The road is partitioned into several blocks whose states determine the state of the whole road. A block is a fixed length of a road where a maintenance activity can be performed. After each observation, an action is taken for the maintenance of the road. The maintenance cost may have some economy of scale when consecutive blocks are to be repaired. The problem is to find an optimal maintenance policy for the road, and it is formulated using Markovian deterioration models. A couple of properties on the optimal policy are investigated, and it is shown that an optimal policy for our maintenance problem is a simple structured control limit policy.
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© 1984 Springer-Verlag Berlin Heidelberg
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Hatoyama, Y., Fukuoka, H., Suzuki, K. (1984). Application of Markovian Decision Theory to the Problem of Highway Maintenance. 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_14
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DOI: https://doi.org/10.1007/978-3-642-45587-2_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-13888-4
Online ISBN: 978-3-642-45587-2
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