Economic Design of T 2 Control Charts to Maintain Current Control of a Process

Douglas C. Montgomery and Phillip J. Klatt
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Douglas C. Montgomery: Georgia Institute of Technology
Phillip J. Klatt: Georgia Institute of Technology

Management Science, 1972, vol. 19, issue 1, 76-89

Abstract: An approximate cost model for a quality control procedure for two or more related variables is investigated. A method is presented to determine the optimal sample size, interval between samples, and critical region parameter for the Hotelling T 2 control chart. This model is a multivariate analog of several well-known models for the univariate X\bar -chart. It is assumed that only one assignable cause of variation exists and the time between occurrences is exponentially distributed. Numerical results are provided in a particular bivariate case for several values of the cost coefficients. The behavior of the model to variation of the model parameters is discussed.

Date: 1972
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ormnsc:v:19:y:1972:i:1:p:76-89

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