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Statistical Quality Control, 7th Edition by Douglas C. Montgomery

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9 Cumulative Sum and Exponentially Weighted Moving Average Control Charts

CHAPTER OUTLINE

9.1   THE CUMULATIVE SUM CONTROL CHART

9.1.1   Basic Principles: The CUSUM Control Chart for Monitoring the Process Mean

9.1.2   The Tabular or Algorithmic CUSUM for Monitoring the Process Mean

9.1.3   Recommendations for CUSUM Design

9.1.4   The Standardized CUSUM

9.1.5   Improving CUSUM Responsiveness for Large Shifts

9.1.6   The Fast Initial Response or Headstart Feature

9.1.7   One-Sided CUSUMs

9.1.8   A CUSUM for Monitoring Process Variability

9.1.9   Rational Subgroups

9.1.10 CUSUMs for Other Sample Statistics

9.1.11 The V-Mask Procedure

9.1.12 The Self-Starting CUSUM

9.2   THE EXPONENTIALLY WEIGHTED MOVING AVERAGE CONTROL CHART

9.2.1   The Exponentially Weighted Moving Average Control Chart for Monitoring the Process Mean

9.2.2   Design of an EWMA Control Chart

9.2.3   Robustness of the EWMA to Non-normality

9.2.4   Rational Subgroups

9.2.5   Extensions of the EWMA

9.3   THE MOVING AVERAGE CONTROL CHART

Supplemental Material for Chapter 9

S9.1   The Markov Chain Approach for Finding the ARL for CUSUM and EWMA Control Charts

S9.2   Integral Equation versus Markov Chains for Finding the ARL

The supplemental material is on the textbook Website www.wiley.com/college/montgomery.

CHAPTER OVERVIEW AND LEARNING OBJECTIVES

Chapters 5, 6, and 7 have concentrated on basic SPC methods. The control charts featured in these chapters are predominantly Shewhart control charts. These charts are extremely ...

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