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Approximate Aggregation and Applications to Reliability

By Yannick Lefebvre

Abstract

In this paper, we present an approximate aggregation principle to reduce the state space of an homogeneous Markov process. This method is then used to compute a bound of the asymptotic unavailability of a Markovian system. Finally, we show that calculating this dependability measure is of much interest even in di#erent contexts, since the unavailability at time t of several ageing systems can be e#ciently approximated by the asymptotic unavailability of an homogeneous Markov process.

Year: 2002
OAI identifier: oai:CiteSeerX.psu:10.1.1.18.4795
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