A PERFORMANCE STUDY OF SHEWHART-TYPE ππ - CHARTS FOR MONITORING HIGH-YIELD PROCESSES
Journal Title: International Journal of Engineering and Science Invention - Year 2018, Vol 7, Issue 1
Abstract
The times between events (TBE) control chartsplay a vital role in monitoring high-yield processes where the defect rate is too low. It is well known that in monitoring high-yield processes, the traditional control charts, for example, π -chart, π’ -chart are found inefficient, hence, TBE charts are recommended as an alternative of these traditional charts. In this paper, we consider the Shewhart-type π‘π -chart because it is most prevalent chart for monitoring TBEs and easy to implement. Usually, the average run length is used to evaluate the chartβs performance, however, there are several criteria to examine the performance of the charts, such as ARL, MRL, EQL etc. In this paper, we evaluate the π‘π -chart in terms of these performance criteria and recommend the appropriate chart accordingly. Note that the π‘π -chart possesses the undesirable ARL-biasedness property which implies a delay in detecting a signal even the process is OOC. To overcome the drawback of biasedness, the ARL-unbiased charts are proposed. We also evaluate the performance of the ARL-unbiased π‘π - chart and comparison is made between ARL-biased and unbiased π‘π -charts based on the various performance criteria.
Authors and Affiliations
Tribhuvan Singh, Amita Baranwal, Nirpeksh Kumar
Keywords
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