Probability-Based Process Capability Indices

This article deals with alternative process capability indices (PCIs) to traditional basic PCIs C p , C pk , and C pm based on different fraction conforming type of probabilities. In view of various problems of constructing capability indices for univariate as well as multivariate set up, these alte...

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Bibliographic Details
Published in:Communications in statistics. Simulation and computation 2009-02, Vol.38 (4), p.884-904
Main Authors: Khadse, K. G., Shinde, R. L.
Format: Article
Language:English
Subjects:
60-08
Asymmetric tolerance
Exact sciences and technology
Mathematics
Multivariate normal process
Non normal process
Numerical analysis
Numerical analysis. Scientific computation
Numerical methods in probability and statistics
Process capability indices
Sciences and techniques of general use
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Summary:This article deals with alternative process capability indices (PCIs) to traditional basic PCIs C p , C pk , and C pm based on different fraction conforming type of probabilities. In view of various problems of constructing capability indices for univariate as well as multivariate set up, these alternative PCIs are very useful as compared to C p , C pk , and C pm . Computing aspects of proposed PCIs are discussed for normal and non normal processes when process tolerance is symmetric as well as asymmetric. Generalization of these PCIs for multivariate set up is also discussed. Some simulation study results and real life problems are given for applications of proposed PCIs.
ISSN:0361-0918
1532-4141
DOI:10.1080/03610910802680880