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Multiaction maintenance under markovian deterioration and incomplete state information
Author(s) -
Hopp Wallace J.,
Wu SungChi
Publication year - 1988
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/1520-6750(198810)35:5<447::aid-nav3220350509>3.0.co;2-i
Subject(s) - complete information , optimal maintenance , state (computer science) , state information , monotonic function , computer science , markov process , information structure , work (physics) , mathematical optimization , mathematics , mathematical economics , algorithm , statistics , engineering , mechanical engineering , mathematical analysis , linguistics , philosophy
Much research been devoted to modeling the replacement problem under incomplete state information. Almost no work has been done on the maintenance problem under incomplete information with multiple maintenance actions that may not return the system to as good as new. We model this problem and derive structural results concerning the optimal maintenance policy. For the case where the effect of maintenance actions is state dependent, we give conditions under which the optimal policy is finitely computable. Where maintenance is state independent we show a specific structure, consisting of monotonic waiting times and constant maintenance actions, to be optimal.