This master thesis deals with application of Markov processes in analysis of reli- ability of complex industrial systems. We describe a general algorithm whose input is a special form of a failure tree, which describes reliability of a certain system, and whose output is a Markov process, which describes evolution of reliability of the given system in time. We assume exponentially distributed time to failure and reparation time of components of the system. The new model of reliability analy- sis, which uses a Markov process describing the given system, enables to consider dynamical evolution of the system and reparation of components when probability of the system failure within the time interval is computed. Moreover, unlike in the classical reliability model, which uses only failure trees, the new model enables to compute, for example, probability distribution of the functionality-determining states of the given system in the phase of steady running, mean time to a failure of the system or probability that the system fails for the whole time period of the length h, h > 0. The procedures how to get these indicators of reliability are described in this thesis in detail. All theoretical findings of this thesis are applied to two concrete subsystems of nuclear power plant Temelín and further, there is an...
| Identifer | oai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:343438 |
| Date | January 2016 |
| Creators | Kubelka, Vít |
| Contributors | Antoch, Jaromír, Pešta, Michal |
| Source Sets | Czech ETDs |
| Language | Czech |
| Detected Language | English |
| Type | info:eu-repo/semantics/masterThesis |
| Rights | info:eu-repo/semantics/restrictedAccess |
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