Skip to main content

Adaptive Charting Techniques: Literature Review and Extensions

  • Chapter
  • First Online:
Frontiers in Statistical Quality Control 9

Summary

The continuous development of SPC is driven by challenges arising from practical applications across diverse industries. Among others, adaptive charts are becoming more and more popular due to their capability in tackling these challenges by learning unknown shifts and tracking time-varying patterns. This chapter reviews recent development of adaptive charts and classifies them into two categories: those with variable sampling parameters and those with variable design parameters. This review focuses on the latter group and compares their charting performance. As an extension to conventional multivariate charts, this work proposes a double-sided directionally variant chart. The proposed chart is capable of detecting shifts having the same or opposite directions as the reference vector and is more robust to processes with unpredictable shift directions.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Albazzaz, H., and Wang, X. Z. (2004). "Statistical process control charts for batch operations based on independent component analysis." Industrial & Engineering Chemistry Research, 4321, 6731-6741.

    Article  Google Scholar 

  • Albin, S. L., Kang, L., and Shea, G. (1997). "An X and EWMA chart for individual observations." Journal of Quality Technology, 291, 41-48.

    Google Scholar 

  • Apley, D. W., and Shi, J. (1999). "The GLRT for statistical process control of autocorrelated processes." IIE Transactions, 3112, 1123-1134.

    Google Scholar 

  • Apley, D. W., and Tsung, F. (2002). "The autoregressive T-2 chart for monitoring univariate autocorrelated processes." Journal of Quality Technology, 341, 80-96.

    Google Scholar 

  • Atienza, O. O., Tang, L. C., and Ang, B. W. (2002). "A CUSUM scheme for autocorrelated observations." Journal of Quality Technology, 342, 187-199.

    Google Scholar 

  • Bakshi, B. R. (1998). "Multiscale PCA with application to multivariate statistical process monitoring." AIChE Journal, 447, 1596-1610.

    Article  Google Scholar 

  • Capizzi, G., and Masarotto, G. (2003). "An adaptive exponentially weighted moving average control chart." Technometrics, 453, 199-207.

    Article  MathSciNet  Google Scholar 

  • Chih-Min, F., Ruey-Shan, G., Shi-Chung, C., and Chih-Shih, W. (2000). "SHEWMA: an end-of-line SPC scheme using wafer acceptance test data." Semiconductor Manufacturing, IEEE Transactions on, 133, 344-358.

    Article  Google Scholar 

  • Choi, S. W., Martin, E. B., Morris, A. J., and Lee, I. B. (2006). "Adaptive multivariate statistical process control for monitoring time-varying processes." Industrial & Engineering Chemistry Research, 459, 3108-3118.

    Article  Google Scholar 

  • Ding, Y., Zeng, L., and Zhou, S. Y. (2006). "Phase I analysis for monitoring nonlinear profiles in manufacturing processes." Journal of Quality Technology, 383, 199-216.

    Google Scholar 

  • Ganesan, R., Das, T. K., and Venkataraman, V. (2004). "Wavelet-based multiscale statistical process monitoring: A literature review." IIE Transactions, 369, 787-806.

    Article  Google Scholar 

  • Han, D., and Tsung, F. (2006). "A reference-free Cuscore chart for dynamic mean change detection and a unified framework for charting performance comparison." Journal of the American Statistical Association, 101473, 368-386.

    Article  MATH  MathSciNet  Google Scholar 

  • Hawkins, D. M. (1993). "Regression adjustment for variables in multivariate quality control." Journal of Quality Technology, 253, 170-182.

    Google Scholar 

  • Jackson, J. E. (1991). A User's Guide to Principal Components, Wiley, New York.

    Book  MATH  Google Scholar 

  • Jensen, W. A., Jones-Farmer, L. A., Champ, C. W., and Woodall, W. H. (2006). "Effects of parameter estimation on control chart properties: A literature review." Journal of Quality Technology, 384, 349-364.

    Google Scholar 

  • Jeong, M. K., Lu, J. C., Huo, X. M., Vidakovic, B., and Chen, D. (2006). "Wavelet- based data reduction techniques for process fault detection." Technometrics, 481, 26-40.

    Article  MathSciNet  Google Scholar 

  • Jiang, W. (2004a). "A joint monitoring scheme for automatically controlled processes." IIE Transactions, 3612, 1201-1210.

    Article  Google Scholar 

  • Jiang, W. (2004b). "Multivariate control charts for monitoring autocorrelated processes." Journal of Quality Technology, 364, 367-379.

    Google Scholar 

  • Jolliffe, I. T. (2002). Principal component analysis, Springer, New York.

    MATH  Google Scholar 

  • Jones, L. A. (2002). "The statistical design of EWMA control charts with estimated parameters." Journal of Quality Technology, 343, 277-288.

    Google Scholar 

  • Jones, L. A., Champ, C. W., and Rigdon, S. E. (2004). "The run length distribution of the CUSUM with estimated parameters." Journal of Quality Technology, 361, 95-108.

    Google Scholar 

  • Kang, L., and Albin, S. L. (2000). "On-line monitoring when the process yields a linear profile." Journal of Quality Technology, 324, 418-426.

    Google Scholar 

  • Kim, K., Mahmoud, M. A., and Woodall, W. H. (2003). "On the monitoring of linear profiles." Journal of Quality Technology, 353, 317-328.

    Google Scholar 

  • Lee, J. M., Yoo, C., and Lee, I. B. (2003). "Statistical process monitoring with multivariate exponentially weighted moving average and independent component analysis." Journal of Chemical Engineering of Japan, 365, 563-577.

    Article  Google Scholar 

  • Li, B. B., Morris, J., and Martin, E. B. (2002). "Model selection for partial least squares regression." Chemometrics and Intelligent Laboratory Systems, 641, 79-89.

    Article  Google Scholar 

  • Lin, W. S. W., and Adams, B. M. (1996). "Combined control charts for forecastbased monitoring schemes." Journal of Quality Technology, 283, 289-301.

    Google Scholar 

  • Lowry, C. A., and Montgomery, D. C. (1995). "A review of multivariate control charts." IIE Transactions, 276, 800-810.

    Article  Google Scholar 

  • Lu, C. W., and Reynolds, M. R., Jr. (1999). "EWMA control charts for monitoring the mean of autocorrelated processes." Journal of Quality Technology, 312, 166-188.

    Google Scholar 

  • Lucas, J. M. (1982). "Combined Shewhart-CUSUM quality control schemes." Journal of Quality Technology, 14, 51-59.

    Google Scholar 

  • Macgregor, J. F., Jaeckle, C., Kiparissides, C., and Koutoudi, M. (1994). "Process Monitoring and Diagnosis by Multiblock Pls Methods." Aiche Journal, 405, 826-838.

    Article  Google Scholar 

  • Mastrangelo, C. M., Runger, G. C., and Montgomery, D. C. (1996). "Statistical process monitoring with principal components." Quality and Reliability Engineering International, 12, 203-210.

    Article  Google Scholar 

  • Montgomery, D. C. (2005). Introduction to statistical quality control, John Wiley, Hoboken, N.J.

    MATH  Google Scholar 

  • Montgomery, D. C., and Mastrangelo, C. M. (1991). "Some statistical process control methods for autocorrelated data." Journal of Quality Technology, 233, 179-193.

    Google Scholar 

  • Nomikos, P., and Macgregor, J. F. (1995). "Multivariate SPC Charts for Monitoring Batch Processes." Technometrics, 371, 41-59.

    Article  MATH  Google Scholar 

  • Palm, A. C., Rodriguez, R. N., Spiring, F. A., and Wheeler, D. J. (1997). "Some perspectives and challenges for control chart methods." Journal of Quality Technology, 292, 122-127.

    Google Scholar 

  • Pandit, S. M., and Wu, S. M. (1993). Time series and system analysis with applications, Krieger Pub. Co., Malabar, Florida.

    Google Scholar 

  • Reynolds, M. R., Jr., and Stoumbos, Z. G. (2005). "Should exponentially weighted moving average and cumulative sum charts be used with Shewhart limits?" Technometrics, 474, 409-424.

    Article  MathSciNet  Google Scholar 

  • Runger, G. C., and Alt, F. B. (1996). "Choosing principal components for multivariate statistical process control." Communications in Statistics-Theory and Methods, 255, 909-922.

    Article  MATH  MathSciNet  Google Scholar 

  • Shewhart, W. A. (1931). Economic control of quality of manufactured product, D.Van Nostrand, New York.

    Google Scholar 

  • Shu, L. J., Apley, D. W., and Tsung, F. (2002). "Autocorrelated process monitoring using triggered Cuscore charts." Quality and Reliability Engineering International, 18, 411-421.

    Article  Google Scholar 

  • Shu, L. J., and Jiang, W. (2006). "A Markov chain model for the adaptive CUSUM control chart." Journal of Quality Technology, 382, 135-147.

    Google Scholar 

  • Sparks, R. S. (2000). "CUSUM charts for signaling varying location shifts." Journal of Quality Technology, 322, 157-171.

    Google Scholar 

  • Spitzlsperger, G., Schmidt, C., Ernst, G., Strasser, H., and Speil, M. (2005). "Fault detection for a via etch process using adaptive multivariate methods." IEEE Transactions on Semiconductor Manufacturing, 184, 528-533.

    Article  Google Scholar 

  • Tagaras, G. (1998). "A survey of recent developments in the design of adaptive control charts." Journal of Quality Technology, 303, 212-231.

    Google Scholar 

  • Tsung, F. (2000). "Statistical monitoring and diagnosis of automatic controlled processes using dynamic PCA." International Journal of Production Research, 383, 625-637.

    Article  MATH  Google Scholar 

  • Tsung, F., and Apley, D. W. (2002). "The dynamic T-2 chart for monitoring feedback- controlled processes." IIE Transactions, 3412, 1043-1053.

    Google Scholar 

  • Tsung, F., Zhou, Z. H., and Jiang, W. (2007). "Applying Manufacturing Batch Techniques to Fraud Detection with Incomplete Customer Information." IIE Transactions, 39, 671-680.

    Article  Google Scholar 

  • Tucker, W. T., Faltin, F. W., and VanderWiel, S. A. (1993). "Algorithmic statistical process-control - an elaboration." Technometrics, 354, 363-375.

    Article  Google Scholar 

  • Wang, K., and Tsung, F. (2005). "Using Profile Monitoring Techniques for a Data- rich Environment with Huge Sample Size." Quality and Reliability Engineering International, 21, 677-688.

    Article  Google Scholar 

  • Wang, K., and Tsung, F. (2007a). "An Adaptive T2 Chart for Monitoring Dynamic Systems." Journal of Quality Technology, Accepted.

    Google Scholar 

  • Wang, K., and Tsung, F. (2007b). "Monitoring feedback-controlled processes using adaptive T2 schemes." International Journal of Production Research, 4523, 5601-5619.

    Article  MATH  Google Scholar 

  • Williams, J. D., Woodall, W. H., and Birch, J. B. (2007). "Statistical Monitoring of Nonlinear Product and Process Quality Profiles." Quality and Reliability Engineering International, 238, 925-941.

    Article  Google Scholar 

  • Woodall, W. H. (2000). "Controversies and contradictions in statistical process control." Journal of Quality Technology, 324, 341-350.

    Google Scholar 

  • Woodall, W. H. (2006). "The use of control charts in health-care and public-health surveillance." Journal of Quality Technology, 382, 89-104.

    Google Scholar 

  • Woodall, W. H., and Montgomery, D. C. (1999). "Research issues and ideas in statistical process control." Journal of Quality Technology, 314, 376-386.

    Google Scholar 

  • Woodall, W. H., Spitzner, D. J., Montgomery, D. C., and Gupta, S. (2004). "Using control charts to monitor process and product quality profiles." Journal of Quality Technology, 363, 309-320.

    Google Scholar 

  • Yoo, C. K., Choi, S. W., and Lee, I. B. (2002). "Dynamic monitoring method for multiscale fault detection and diagnosis in MSPC." Industrial & Engineering Chemistry Research, 4117, 4303-4317.

    Article  Google Scholar 

  • Zhou, S., Jin, N., and Jin, J. (2005). "Cycle-based signal monitoring using a directionally variant multivariate control chart system." IIE Transactions, 3711, 971-982.

    Article  Google Scholar 

  • Zimmer, L. S., Montgomery, D. C., and Runger, G. C. (2000). "Guidelines for the application of adaptive control charting schemes." International Journal of Production Research, 389, 1977-1992.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Physica-Verlag Heidelberg

About this chapter

Cite this chapter

Tsung, F., Wang, K. (2010). Adaptive Charting Techniques: Literature Review and Extensions. In: Lenz, HJ., Wilrich, PT., Schmid, W. (eds) Frontiers in Statistical Quality Control 9. Physica-Verlag HD. https://doi.org/10.1007/978-3-7908-2380-6_2

Download citation

Publish with us

Policies and ethics