Control Charts Under Linear Trend,

Abstract

The performance of control charts is usually evaluated by assuming a step change in the process mean. However, it is more appropriate to evaluate the performance of control charts by assuming a drift in the mean for processes where a gradual drift models the shift in the mean more accurately. Three major methods for computing the average run length (ARL) of control charts assuming a step change in the mean are reviewed. Generalizations of these methods for computing the ARL of control charts assuming a drift in the mean are then examined. Average run length; Cumulative sum; Exponentially weighted moving average; Integral equation; Linear drift; Markov chain; Normal distribution; Statistical process control.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1992
Accession Number
ADP007209

Entities

People

  • F. F. Gan

Organizations

  • National University of Singapore

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Computer Science
  • Data Science
  • Engineering
  • Equations
  • Information Science
  • Integral Equations
  • Integrals
  • Markov Chains
  • Mathematics
  • Network Science
  • Normal Distribution
  • Statistical Processes
  • Statistics
  • Theoretical Computer Science

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Regression Analysis.