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Design of a Curtailed-SPRT Control Chart  

Chang, Young-Soon (명지대학교 경영학과)
Publication Information
Journal of the Korean Operations Research and Management Science Society / v.34, no.1, 2009 , pp. 29-37 More about this Journal
Abstract
This paper proposes a curtailed-sequential probability ratio test (SPRT) control chart. For using the conventional SPRT control chart, the number of items inspected in a sampling point should have no restriction since items in a sampling point are inspected one by one until an SPRT Is terminated. The number of observations taken in a sampling point, however, has an upper bound since sampling and testing of an item is time-consuming or expensive. When the sample size reaches the upper bound without evidence of an in-control or out-of-control state of a process, the proposed chart makes a decision using the sample mean of all observations taken in a sampling point. The properties of the Proposed chart are obtained by a Markov chain approach and the performance of the chart is compared with fixed sample size (FSS) and variable sample size (VSS) control charts. A comparative study shows that the proposed chart performs better than VSS control charts as well as conventional FSS control charts.
Keywords
SPRT Control Chart; VSS Control Chart; Sample Size Upper Bound;
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