The use of principal component analysis in measuring the capability of a multivariate process is an issue initially considered by Wang and Chen (1998). In this article, we extend their initial idea by proposing new indices that can be used in situations where the specification limits of the multivariate process are unilateral. Moreover, some new indices for multivariate processes are suggested....

Statistical techniques are effective and powerful means of quantifying the variability of processes, analyzing this variability with reference to product requirements, and eliminating this variability in product manufacturing. Many process capability indices have been effectively and widely used to determine whether the quality of a process meets preset targets. However, conventional process ca...

Capability indices compare the actual performance of a manufacturing process to the desired performance. In practice these indices are estimated using sample data, often with quite small sample sizes. Thus, it is of interest to obtain confidence limits for actual capability index given a sample estimate. Most of the traditional methods for assessing the capability of manufacturing process are d...

abstract. in the case of process capability index several methods are identified. in this paper ,a new process capability index using fuzzy number and fuzzy probability concept, in order to remove the weakness of other famous method is suggested. after introduction of fuzzy index in univariate case, fuzzy multivariate process capability index is investigated. finally, this new method is compare...

The process capability analysis is a crucial activity to evaluate if the process outcome meets the design specifications. Classically, such analysis is performed by verifying the in-control condition of the process and evaluating suitable capability indices, by assuming the process in-control steady-state condition. However, the in-control period of the process characterizes only a part of the ...

Purpose – The purpose of this paper is to explore the relationship between multivariate process capability indices and loss functions for both nominal-the-best and smaller-the-better cases, so the likelihood and consequences resulting from the nonconforming of a manufacturing process or an environmental system can be evaluated simultaneously. Design/methodology/approach – In this paper, the aut...

Profile is a relationship between a response variable and one or more independent variables which can describe quality of a process or a product. On the other hand, for an in-control process, capability indices are criteria for the process quality improvement that allows to meet customers’ expectations. Despite a considerable number of applications and monitoring methods already proposed for pr...

The purpose of this research is to explore the relationship among multivariate process capability indices, expected losses and design reliability for the nominal-the-better case so the likelihood and consequence resulting from the failure of a multi-characteristic engineering design can be evaluated simultaneously. This new approach provides reliability practitioners a decision making tool in p...