A GLR Control Chart for Monitoring the Process Mean with Sequential Sampling

REFERENCES

• Apley , D. W. and Shi , J. ( 1999 ). The GLRT for Statistical Process Control of Autocorrelated Processes , IIE Transactions 31 : 1123 – 1134 .
   Web of Science ®Google Scholar
• Arnold , J. C. and Reynolds , M. R. , Jr. ( 2001 ). CUSUM Control Charts with Variable Sample Sizes and Sampling Intervals , Journal of Quality Technology 33 : 66 – 81 .
   Web of Science ®Google Scholar
• Basseville , M. and Nikiforov , I. V. ( 1993 ). Detection of Abrupt Changes: Theory and Application , Englewood Cliffs : Prentice Hall .
   Google Scholar
• Hawkins , D. M. and Olwell , D. H. ( 1998 ). Cumulative Sum Control Charts and Charting for Quality Improvement , New York : Springer .
   Google Scholar
• Hawkins , D. M. , Qiu , P. , and Chang , W. K. ( 2003 ). The Changepoint Model for Statistical Process Control , Journal of Quality Technology 35 : 355 – 366 .
   Web of Science ®Google Scholar
• Lai , T. L. ( 2001 ). Sequential Analysis: Some Classical Problems and New Challenges , Statistica Sinica 11 : 303 – 408 .
   Web of Science ®Google Scholar
• Montgomery , D. C. ( 2012 ). Introduction to Statistical Quality Control, , 7th ed. , New York : Wiley .
   Google Scholar
• Page , E. S. ( 1954 ). Continuous Inspection Schemes , Biometrika 41 : 100 – 115 .
   Web of Science ®Google Scholar
• Park , C. and Reynolds , M. R. , Jr. ( 1999 ). Economic Design of a Variable Sampling Rate Chart , Journal of Quality Technology 31 : 427 – 443 .
   Web of Science ®Google Scholar
• Peng , Y. , Xu , L. , and Reynolds , M. R. , Jr. ( 2013 ). The Design of the VSI GLR Chart for Monitoring the Process Mean , Quality and Reliability Engineering International , doi: 10.1002/qre.1587 .
   Google Scholar
• Prabhu , S. S. , Runger , G. C. , and Keats , J. B. (1993). Chart with Adaptive Sample Sizes, International Journal of Production Research 31: 2895–2909.
   Web of Science ®Google Scholar
• Reynolds , M. R. , Jr. ( 1996a ). Shewhart and EWMA Variable Sampling Interval Control Charts with Sampling at Fixed Times , Journal of Quality Technology 28 : 199 – 212 .
   Web of Science ®Google Scholar
• Reynolds , M. R. , Jr. ( 1996b ). Variable Sampling Interval Control Charts with Sampling at Fixed Times , IIE Transactions 28 : 497 – 510 .
   Web of Science ®Google Scholar
• Reynolds , M. R. , Jr. , Amin , R. W. , Arnold , J. C. , and Nachlas , J. A. ( 1988 ). Charts with Variable Sampling Intervals , Technometrics 30 : 181 – 192 .
   Web of Science ®Google Scholar
• Reynolds , M. R. , Jr. and Lou , J. ( 2010 ). An Evaluation of a GLR Control Chart for Monitoring the Process Mean , Journal of Quality Technology 42 : 287 – 310 .
   Web of Science ®Google Scholar
• Reynolds , M. R. , Jr. and Stoumbos , Z. G. ( 1998 ). The SPRT Chart for Monitoring a Proportion , IIE Transactions 30 : 545 – 561 .
   Web of Science ®Google Scholar
• Stoumbos , Z. G. , Mittenthal , J. , and Runger , G. C. ( 2001 ). Steady-State Optimal Adaptive Control Charts Based on Variable Sampling Intervals , Stochastic Analysis and Applications 19 : 1025 – 1057 .
   Web of Science ®Google Scholar
• Stoumbos , Z. G. and Reynolds , M. R. , Jr. ( 1996 ). Control Charts Applying a General Sequential Test at Each Sampling Point , Sequential Analysis 15 : 159 – 183 .
   Google Scholar
• Stoumbos , Z. G. and Reynolds , M. R. , Jr. ( 1997 ). Control Charts Applying a Sequential Test at Fixed Sampling Intervals , Journal of Quality Technology 29 : 21 – 40 .
   Web of Science ®Google Scholar
• Stoumbos , Z. G. and Reynolds , M. R. , Jr. ( 2001 ). The SPRT Control Chart for the Process Mean with Samples Starting at Fixed Times , Nonlinear Analysis: Real World Applications 2 : 1 – 34 .
   Web of Science ®Google Scholar
• Willsky , A. and Jones , H. ( 1976 ). A Generalized Likelihood Ratio Approach to the Detection and Estimation of Jumps in Linear Systems , IEEE Transactions on Automatic Control 21 : 108 – 112 .
   Web of Science ®Google Scholar
• Recommended by Nitis Mukhopadhyay
   Google Scholar
• Color versions of one or more of the figures in the article can be found online at www.tandfonline.com/lsqa.
   Google Scholar