Work

Synthetic Phase II Shewhart‐type Attributes Control Charts When Process Parameters are Estimated

Year: 2013

Type: article

Abstract: The performance of attributes control charts (such as c and np charts) is usually evaluated under the assumption of known process parameters (i.e., the nominal proportion of nonconforming units or the nominal number of nonconformities). However, in practice, these process parameters are rarely known and have to be estimated from an in‐control phase I data set. In this paper, we derive the run length properties of the phase II synthetic c and np charts with estimated parameters, and we investigate the number m of phase I samples that would be necessary for these charts in order to obtain similar in‐control average run lengths as in the known parameters case. We also propose new specific chart parameters that allow these charts to have approximately the same in‐control average run lengths as the ones obtained in the known parameter case. Copyright © 2013 John Wiley & Sons, Ltd.

Source: Quality and Reliability Engineering International

DOI: 10.1002/qre.1576

Authors: Philippe Castagliola, Shu Wu, Michael B. C. Khoo, S. Chakraborti

Institutions: Centre National de la Recherche Scientifique, Université de Nantes, Institut de recherche en communications et cybernétique de Nantes, Nantes Université, Wuhan University of Technology, Universiti Sains Malaysia, University of Alabama, University of Pretoria

Language: English

Topic: Advanced Statistical Process Monitoring

Subfield: Statistics, Probability and Uncertainty

Field: Decision Sciences

Domain: Social Sciences

Open Access status: bronze

Funders: University of Pretoria, China Scholarship Council

OpenAlex ID: W1916456325

FWCI: 4.046

Cites: 45

Cited by: 27

Related to: 10