On a unified approach to the analysis of two-sided cumulative sum control schemes with headstarts
- 1 September 1985
- journal article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 17 (3) , 562-593
- https://doi.org/10.2307/1427120
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
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