Since the emergence of Industry 4.0 and internet of things, the available data in production systems has been increased. On the one hand, this fact has originated an information overload problem in statistical process monitoring such as in capability analysis . On the other hand, this fact has enabled the emergence of new approaches to optimize the actual production systems. Taking it into account, in this dissertation we present two useful approaches for enterprises developing their activities in the context of lndustry 4.0. Regarding capability analys is, we introduce a new multivariate process capability index that allows structuring hierarchically the results in capability analysis; and thus, reducing the number of quality indicators that must be monitored and analyzed. Regarding process optimization, we introduce a multi-response optimization approach to minimize rework cost in multi-stage production processes by adapting the specification limits of the process in the initial stage. Both approaches are discussed and applied in application cases based on real production systems of the industry
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