Control Charts for Monitoring Process Capability Index Using Median Absolute Deviation for Some Popular Distributions

Muhammad Aslam · Gadde Srinivasa Rao · Ali Hussein AL-Marshadi · Liaquat Ahmad · Chi‐Hyuck Jun

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Advanced Statistical Process Monitoring Management and Optimization Techniques Fault Detection and Control Systems

Abstract

A control chart monitoring the process capability index (PCI) using median absolute deviation (MAD) is proposed to analyze the industrial process performance. Extensive simulation studies were carried out to evaluate the performance of MAD-based PCI control charts under the low, moderate, and high asymmetric conditions when the process characteristic follows Weibull, log-normal, and gamma distributions. The performance of the proposed control charts was evaluated based on the average run lengths. The practical implementation of the proposed charts was also illustrated with industrial data.

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References

1986Process Capability Indices 1995Process Capability Indices.1989Process Capability Calculations for Non-Normal Distributions 1995A uniformed approach to capability indices 1992Recent Developments in Process Capability Analysis 2015Monitoring the coefficient of variation using a variable sample size control chart in short production runs 2014Capability indices for Birnbaum–Saunders processes applied to electronic and food industries 2013The computation of average run length and average time to signal: an overview

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