A Simplified Scheme for the Economic Design of X-Bar Charts


Chiu, W.K.; Wetherill, G.B.   (1974, ASQC)   University of Bath, Claverton, Down, Bath; University of Kent at Canterbury

Journal of Quality Technology    Vol. 6    No. 2
QICID: 5159    April 1974    pp. 63-69
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Article Abstract

This paper proposes a very simple semi-economic scheme for the design of a control plan using an X-bar chart, that can be applied at the work-shop level. Once the quality control engineer has selected a consumer's risk point on the OC-curve for his desired degree of protection against inferior quality, he can quickly determine by a table provided three control parameters: the sample size, the control limits coefficient, and the sampling interval. Three features may be mentioned: (1) Although these parameters only minimize the average loss-cost subject to a constraint, the restricted minimum is in general very close to the exact minimum. (2) The present method has wide practical applications-three models being studied here. (3) If an exact optimum is sought, the present solution provides a good initial point for a direct search.


Economic design,X-bar control charts,Optimal design

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