A Time-Inhomogeneous Prendiville Model with Failures and Repairs
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We consider a time-inhomogeneous Markov chain with a finite state-space which models a system in which failures and repairs can occur at random time instants. The system starts from any state j (operating, F, R). Due to a failure, a transition from an operating state to F occurs after which a repair is required, so that a transition leads to the state R. Subsequently, there is a restore phase, after which the system restarts from one of the operating states. In particular, we assume that the intensity functions of failures, repairs and restores are proportional and that the birth-death process that models the system is a time-inhomogeneous Prendiville process.
2012 ◽
Vol 49
(4)
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pp. 1036-1051
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2016 ◽
Vol 31
(3)
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pp. 345-356
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2005 ◽
Vol 37
(4)
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pp. 1015-1034
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1982 ◽
Vol 19
(02)
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pp. 272-288
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2004 ◽
Vol 2004
(5)
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pp. 469-489
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