Autor: |
Virginia Giorno, Amelia G. Nobile |
Jazyk: |
angličtina |
Rok vydání: |
2022 |
Předmět: |
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Zdroj: |
Mathematics, Vol 10, Iss 2, p 251 (2022) |
Druh dokumentu: |
article |
ISSN: |
2227-7390 |
DOI: |
10.3390/math10020251 |
Popis: |
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. |
Databáze: |
Directory of Open Access Journals |
Externí odkaz: |
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