Geodesic
Single-use reliability computation of a semi-Markovian system
Applications of Mathematics, Tome 59 (2014) no. 5, pp. 571-588.

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Markov chain usage models were successfully used to model systems and software. The most prominent approaches are the so-called failure state models Whittaker and Thomason (1994) and the arc-based Bayesian models Sayre and Poore (2000). In this paper we propose arc-based semi-Markov usage models to test systems. We extend previous studies that rely on the Markov chain assumption to the more general semi-Markovian setting. Among the obtained results we give a closed form representation of the first and second moments of the single-use reliability. The model and the validity of the results are illustrated through a numerical example.
DOI : 10.1007/s10492-014-0072-4
Classification : 60K15, 65C40, 65R20, 90B25
Keywords: system reliability; semi-Markov chain; usage model 
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D'Amico, Guglielmo. Single-use reliability computation of a semi-Markovian system. Applications of Mathematics, Tome 59 (2014) no. 5, pp. 571-588. doi : 10.1007/s10492-014-0072-4. http://geodesic.mathdoc.fr/articles/10.1007/s10492-014-0072-4/

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