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On a unified approach to the analysis of two-sided cumulative sum control schemes with headstarts

Published online by Cambridge University Press:  01 July 2016

Emmanuel Yashchin
Emmanuel Yashchin*
Affiliation:
IBM Corporation
*
∗Postal address: IBM Thomas J. Watson Research Center, P.O. Box 218, Yorktown Heights, NY 10598, USA.
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Abstract

The necessary and sufficient conditions for various modes of interactions of the upper and lower schemes with headstarts are derived. The expression for the Laplace transform of the run-length distribution (for both interacting and non-interacting schemes) is obtained and used to develop a method of analysis for general two-sided cumulative sum schemes with headstarts. The results are shown to be relevant in the case when the schemes are supplemented by Shewhart’s control limits.

Keywords

CONTROL CHARTCUSUMMARKOV PROCESSRUN LENGTHTWO-SIDED PAGE’S SCHEME
Type
Research Article
Information
Advances in Applied Probability , Volume 17 , Issue 3 , September 1985 , pp. 562 - 593
Copyright
Copyright © Applied Probability Trust 1985 

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