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Joint X¯ and R charts with variable parameters

Joint X¯ and R charts with variable parameters Abstract Recent studies have shown that the X¯ chart with variable parameters (Vp X¯ chart) detects process shifts faster than the traditional X¯ chart. This article extends these studies for processes that are monitored by both, X¯ and R charts. Basically, the X¯ and R values establish if the control should or should not be relaxed. When the X¯ and R values fall in the central region the control is relaxed because one will wait more to take the next sample and/or the next sample will be smaller than usual. When the X¯ or R values fall in the warning region the control is tightened because one will wait less to take the next sample and the next sample will be larger than usual. The action limits are also made variable. This paper proposes to draw the action limits (for both charts) wider than usual when the control is relaxed and narrower than usual when the control is tightened. The Vp feature improves the joint X¯ and R control chart performance in terms of the speed with which the process mean and/or variance shifts are detected. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png IISE Transactions Taylor & Francis

Joint X¯ and R charts with variable parameters

COSTA, ANTONIO F.B.
IISE Transactions , Volume 30 (6): 10 – Jun 1, 1998
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References (23)

Publisher
Taylor & Francis
Copyright
Copyright Taylor & Francis Group, LLC
ISSN
1545-8830
eISSN
0740-817X
DOI
10.1080/07408179808966490
Publisher site
See Article on Publisher Site

Abstract

Abstract Recent studies have shown that the X¯ chart with variable parameters (Vp X¯ chart) detects process shifts faster than the traditional X¯ chart. This article extends these studies for processes that are monitored by both, X¯ and R charts. Basically, the X¯ and R values establish if the control should or should not be relaxed. When the X¯ and R values fall in the central region the control is relaxed because one will wait more to take the next sample and/or the next sample will be smaller than usual. When the X¯ or R values fall in the warning region the control is tightened because one will wait less to take the next sample and the next sample will be larger than usual. The action limits are also made variable. This paper proposes to draw the action limits (for both charts) wider than usual when the control is relaxed and narrower than usual when the control is tightened. The Vp feature improves the joint X¯ and R control chart performance in terms of the speed with which the process mean and/or variance shifts are detected.

Journal

IISE Transactions – Taylor & Francis

Published: Jun 1, 1998

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