A Time-Inhomogeneous Prendiville Model with Failures and Repairs

Autor: Virginia Giorno, Amelia G. Nobile
Jazyk: angličtina
Rok vydání: 2022
Předmět:
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
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