Exclusive Content & Downloads from ASQ

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

Summary: 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.

Anyone with a subscription, including Site and Enterprise members, can access this article.

Other Ways to Access content:

Join ASQ

Join ASQ as a Full member. Enjoy all the ASQ member benefits including access to many online articles.

Subscribe to Journal of Quality Technology

Access this and ALL OTHER Journal of Quality Technology online articles. You'll also receive the print version by mail.

  • Topics:
  • Keywords: Economic design,X-bar control charts,Optimal design
  • Author: Chiu, W.K.; Wetherill, G.B.
  • Journal: Journal of Quality Technology