A PERFORMANCE STUDY OF SHEWHART-TYPE 𝒕𝒓 - CHARTS FOR MONITORING HIGH-YIELD PROCESSES

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A PERFORMANCE STUDY OF SHEWHART-TYPE 𝒕𝒓 - 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, 𝑐 -chart, 𝑢 -chart are found inefficient, hence, TBE charts are recommended as an alternative of these traditional charts. In this paper, we consider the Shewhart-type 𝑡𝑟 -chart because it is most prevalent chart for monitoring TBEs and easy to implement. Usually, the average run length is used to evaluate the chart’s 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 𝑡𝑟 -chart in terms of these performance criteria and recommend the appropriate chart accordingly. Note that the 𝑡𝑟 -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 𝑡𝑟 - chart and comparison is made between ARL-biased and unbiased 𝑡𝑟 -charts based on the various performance criteria.

Authors and Affiliations

Tribhuvan Singh, Amita Baranwal, Nirpeksh Kumar

Keywords

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EP ID EP396088
DOI -
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