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Statistics and Probability with Applications for Engineers and Scientists by Irwin Guttman, Bhisham C. Gupta

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12

Statistical Quality Control—Phase II Control Charts

The focus of this chapter is a discussion of phase II control charts.

Topics Covered:

  • Basic concepts of the CUSUM control chart
  • Designing a CUSUM control chart
  • Two-sided CUSUM control charts using numerical procedures
  • The fast initial response (FIR) CUSUM control chart
  • Combined Shewhart–CUSUM control charts
  • CUSUM control chart for controlling process variability
  • Moving average (MA) control charts
  • Exponentially weighted moving average (EWMA) control charts

Learning Outcomes:

After studying this chapter, the reader will be able to

  • Understand the difference between phase I and phase II control charts.
  • Set up one-sided and two-sided CUSUM control charts.
  • Set up one-sided and two-sided tabular CUSUM control charts.
  • Understand the advantages of CUSUM control charts over img and R control charts.
  • Set up moving average (MA) control charts.
  • Set up exponential weighted moving average (EWMA) control charts.

12.1 Introduction

In Chapter 11 we studied phase I Shewhart control charts for detecting large shifts in any process. In this chapter we will study the next generation of control charts: cumulative sum (CUSUM), moving average (MA), and exponentially weighted moving average (EWMA) control charts. As noted earlier, large shifts usually occur in phase I of the implementation of SPC, when a process is under strong influence of special ...

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