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

Mathematics

Guglielmo D’Amico¹  Thomas Gkelsinis²  Vlad Stefan Barbu² 

[1] Department of Economics, University “G. d’Annunzio” of Chieti-Pescara, 66013 Pescara, Italy;Laboratory of Mathematics Raphaël Salem, University of Rouen-Normandy, UMR 6085, Avenue de l’Université, BP. 12, F76801 Saint-Étienne-du-Rouvray, France;

关键词: semi-Markov;    reliability;    transient analysis;    asymptotic analysis;   

DOI  :  10.3390/math9161997

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown