Sequential Interval Reliability for Discrete-Time Homogeneous Semi-Markov Repairable Systems

Vlad Stefan Barbu, Guglielmo D’Amico and Thomas Gkelsinis
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Vlad Stefan Barbu: Laboratory of Mathematics Raphaël Salem, University of Rouen-Normandy, UMR 6085, Avenue de l’Université, BP. 12, F76801 Saint-Étienne-du-Rouvray, France
Guglielmo D’Amico: Department of Economics, University “G. d’Annunzio” of Chieti-Pescara, 66013 Pescara, Italy
Thomas Gkelsinis: Laboratory of Mathematics Raphaël Salem, University of Rouen-Normandy, UMR 6085, Avenue de l’Université, BP. 12, F76801 Saint-Étienne-du-Rouvray, France

Mathematics, 2021, vol. 9, issue 16, 1-18

Abstract: In this paper, a new reliability measure, named sequential interval reliability, is introduced for homogeneous semi-Markov repairable systems in discrete time. This measure is the probability that the system is working in a given sequence of non-overlapping time intervals. Many reliability measures are particular cases of this new reliability measure that we propose; this is the case for the interval reliability, the reliability function and the availability function. A recurrent-type formula is established for the calculation in the transient case and an asymptotic result determines its limiting behaviour. The results are illustrated by means of a numerical example which illustrates the possible application of the measure to real systems.

Keywords: semi-Markov; reliability; transient analysis; asymptotic analysis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

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