On a generalization of reliability measures for semi-Markov repairable systems
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BARBU, Vlad Stefan, D'AMICO, Guglielmo, GKELSINIS, Thomas. On a generalization of reliability measures for semi-Markov repairable systems. In: Conference on Applied and Industrial Mathematics: CAIM 2021, 17-18 septembrie 2021, Iași, România. Chișinău, Republica Moldova: Casa Editorial-Poligrafică „Bons Offices”, 2021, Ediţia a 28-a, p. 44.
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Conference on Applied and Industrial Mathematics
Ediţia a 28-a, 2021
Conferința "Conference on Applied and Industrial Mathematics"
Iași, România, Romania, 17-18 septembrie 2021

On a generalization of reliability measures for semi-Markov repairable systems


Pag. 44-44

Barbu Vlad Stefan1, D'Amico Guglielmo2, Gkelsinis Thomas1
 
1 University of Rouen-Normandy,
2 University "G. d'Annunzio "of Chieti-Pescara, Chieti
 
 
Disponibil în IBN: 21 septembrie 2022


Rezumat

This work is dealing with reliability modelling for repairable systems with time dependence. We propose a generalization of reliability indexes such as reliability, interval reliability and availability for homogeneous semi-Markov repairable systems in discrete time. The proposed measure, called sequential interval reliability, is the probability that the system works in a sequence of nonoverlapping time intervals. The necessary framework for calculating that measure according with the asymptotic theory is provided. Finally, numerical results are placed and a brief discussion on the possible applications in real world scenarios is presented. Acknowledgement. The research work of Guglielmo D'Amico was partially supported by the University G. d'Annunzio of Chieti-Pescara, Italy (FAR2020).

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<dc:creator>Barbu, V.</dc:creator>
<dc:creator>D'Amico, G.</dc:creator>
<dc:creator>Gkelsinis, T.</dc:creator>
<dc:date>2021</dc:date>
<dc:description xml:lang='en'><p>This work is dealing with reliability modelling for repairable systems with time dependence. We propose a generalization of reliability indexes such as reliability, interval reliability and availability for homogeneous semi-Markov repairable systems in discrete time. The proposed measure, called sequential interval reliability, is the probability that the system works in a sequence of nonoverlapping time intervals. The necessary framework for calculating that measure according with the asymptotic theory is provided. Finally, numerical results are placed and a brief discussion on the possible applications in real world scenarios is presented. Acknowledgement. The research work of Guglielmo D&#39;Amico was partially supported by the University G. d&#39;Annunzio of Chieti-Pescara, Italy (FAR2020).</p></dc:description>
<dc:source>Conference on Applied and Industrial Mathematics (Ediţia a 28-a) 44-44</dc:source>
<dc:title>On a generalization of reliability measures for semi-Markov repairable systems</dc:title>
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