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Single-use reliability computation of a semi-Markovian system

Guglielmo D'Amico (2014)

Applications of Mathematics

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...

Some examples of non-monotonicities in a two-unit redundant system

Antonín Lešanovský (1984)

Aplikace matematiky

A cold-standby redundant sytem with two identical units and one repair facility is considered. Units can be in three states: good ( I ) , degraded ( I I ) , and failed ( I I I ) . It is supposed that only the following state-transitions of a unit are possible: I I I , I I I I I , I I I , I I I I . The paper deals with the comparison of some initial situations of the system and with a stochastical improvement of units (stochastical increase of time of work in state I and/or stochastical decrease of times of repairs of the types I I I and/or I I I I ) and...

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