Single-use reliability computation of a semi-Markovian system

Guglielmo D'Amico

Applications of Mathematics (2014)

  • Volume: 59, Issue: 5, page 571-588
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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D'Amico, Guglielmo. "Single-use reliability computation of a semi-Markovian system." Applications of Mathematics 59.5 (2014): 571-588. <http://eudml.org/doc/262030>.

@article{DAmico2014,
abstract = {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.},
author = {D'Amico, Guglielmo},
journal = {Applications of Mathematics},
keywords = {system reliability; semi-Markov chain; usage model; system reliability; semi-Markov chain; usage model},
language = {eng},
number = {5},
pages = {571-588},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Single-use reliability computation of a semi-Markovian system},
url = {http://eudml.org/doc/262030},
volume = {59},
year = {2014},
}

TY - JOUR
AU - D'Amico, Guglielmo
TI - Single-use reliability computation of a semi-Markovian system
JO - Applications of Mathematics
PY - 2014
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 5
SP - 571
EP - 588
AB - 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.
LA - eng
KW - system reliability; semi-Markov chain; usage model; system reliability; semi-Markov chain; usage model
UR - http://eudml.org/doc/262030
ER -

References

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