Optimization designs of the combined Shewhart-CUSUM control charts

Authors:
Zhang Wu;Mei Yang;Wei Jiang;Michael B. C. Khoo
Affiliations:
School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore 639798, Singapore;School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore 639798, Singapore;School of Systems and Enterprises, Stevens Institute of Technology, Hoboken, NJ 07030, USA;Universiti Sains Malaysia, 11800 Penang, Malaysia
Venue:
Computational Statistics & Data Analysis
Year:
2008

Citing 6
Cited 1

CUSUM charts with variable sampling intervals

Technometrics
The quality control chart for monitoring multivariate autocorrelated processes

Computational Statistics & Data Analysis
Detection of chatter vibration in a drilling process using multivariate control charts

Computational Statistics & Data Analysis
Adaptive CUSUM procedures with Markovian mean estimation

Computational Statistics & Data Analysis
A process variability control chart

Computational Statistics - Proceedings of DSC 2007
An accurate algorithm to compute the run length probability distribution, and its convolutions, for a Cusum chart to control normal mean

Computational Statistics & Data Analysis

An EWMA chart for monitoring the process standard deviation when parameters are estimated

Computational Statistics & Data Analysis

Quantified Score

Hi-index	0.03

Visualization

Abstract

This article presents the optimization design of the combined Shewhart chart and CUSUM chart (X@?&CUSUM chart in short) used in Statistical Process Control (SPC). While the optimization design effectively improves the overall performance of the X@?&CUSUM chart over the entire process shift range, it does not increase difficulties in understanding and implementing this combined chart. A new feature pertaining to an additional charting parameter w (the exponential of the sample mean shift) is also investigated, with the hope of further enhancing the detection effectiveness of the X@?&CUSUM chart. Moreover, this article provides the SPC practitioners with a design table to facilitate the designs of the X@?&CUSUM charts. From this design table, the users can directly find the optimal values of the charting parameters, according to the design specifications. The design table makes the design of an X@?&CUSUM chart as simple as the design of the simplest X@? chart. In general, this article will help to enhance the detection effectiveness of the X@?&CUSUM chart, and facilitate and promote its applications in SPC.