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dc.contributor.authorMontoro Cazorla, Delia
dc.contributor.authorPérez Ocón, Rafael
dc.identifier.citationMontoro-Cazorla, D.; Pérez-Ocón, R. Analysis of k-Out-of-N-Systems with Different Units under Simultaneous Failures: A Matrix-Analytic Approach. Mathematics 2022, 10, 1902. []es_ES
dc.description.abstractAn N-system with different units submitted to shock and wear is studied. The shocks cause damage and, eventually, simultaneous failures of several units. The units can also fail due to internal failures. At random times, the system is inspected, and the down units are simultaneously replaced by identical ones. The arrival of shocks is governed by a Markovian arrival process. The operational times and the interarrival times between inspections follow phase-type distributions. The generator of the multidimensional Markov process modeling the system is constructed. This is performed introducing indicator functions for the different transition rates among the units using the algorithm of Kronecker. This is a general Markov process that can be applied for modeling different reliability systems depending on the structure of the units and how the systems operate. The general model is applied to the study of k-out-of-N systems, calculating the main performance measures. A practical example is presented showing the approximation of the model to a system with units following different Weibull distributions.es_ES
dc.rightsAtribución 4.0 Internacional*
dc.subjectMarkovian arrival processes_ES
dc.subjectPhase-type distributiones_ES
dc.subjectMultiple failureses_ES
dc.subjectMultiple replacementses_ES
dc.subjectK-out-of-N systemes_ES
dc.titleAnalysis of k-Out-of-N-Systems with Different Units under Simultaneous Failures: A Matrix-Analytic Approaches_ES

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Atribución 4.0 Internacional
Except where otherwise noted, this item's license is described as Atribución 4.0 Internacional