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Economic design of X‐ control charts: insights on design variables

Economic design of X‐ control charts: insights on design variables Statistical process control charts have long been used as tools to ensure high quality of process output. A substantial amount of literature has been reported on the economic design of control charts by considering the trade‐offs between inspection cost, penalty for operating in out‐of‐control state, and the cost of restoring the process. However, the focus of this work has been on the development of solution procedures ‐ exact and approximate, to determine the design parameters and qualitative insights into their behaviour which are obtained by sensitivity analysis. In contrast, analyses an approximate cost function of the widely used X‐ control chart and develops results which characterize the behaviour of design parameters. Provides, through simplifying approximations, several interesting properties characterizing the design parameters. In addition to qualitative observations about the behaviours of design parameters, develops an efficient algorithm to compute optimal values of design parameters. Also discusses alternative quick heuristics to determine near optimal values of design parameters for practical use. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Quality & Reliability Management Emerald Publishing

Economic design of X‐ control charts: insights on design variables

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References (14)

Publisher
Emerald Publishing
Copyright
Copyright © 1997 MCB UP Ltd. All rights reserved.
ISSN
0265-671X
DOI
10.1108/02656719710165473
Publisher site
See Article on Publisher Site

Abstract

Statistical process control charts have long been used as tools to ensure high quality of process output. A substantial amount of literature has been reported on the economic design of control charts by considering the trade‐offs between inspection cost, penalty for operating in out‐of‐control state, and the cost of restoring the process. However, the focus of this work has been on the development of solution procedures ‐ exact and approximate, to determine the design parameters and qualitative insights into their behaviour which are obtained by sensitivity analysis. In contrast, analyses an approximate cost function of the widely used X‐ control chart and develops results which characterize the behaviour of design parameters. Provides, through simplifying approximations, several interesting properties characterizing the design parameters. In addition to qualitative observations about the behaviours of design parameters, develops an efficient algorithm to compute optimal values of design parameters. Also discusses alternative quick heuristics to determine near optimal values of design parameters for practical use.

Journal

International Journal of Quality & Reliability ManagementEmerald Publishing

Published: Apr 1, 1997

Keywords: Control charts; Design; Economics

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