A parameter-tuned genetic algorithm for statistically constrained economic design of multivariate CUSUM control charts: a Taguchi loss approach

References

• Chen , YK . 2007 . Adaptive Sampling Enhancement for Hotelling's T2 . European Journal of Operational Research , 178 : 841 – 857 .
   Web of Science ®Google Scholar
• Chiu , WK . 1974 . The Economic Design of CUSUM Charts for Controlling Normal Means . Applied Statistics , 23 : 420 – 433 .
   Web of Science ®Google Scholar
• Chou , CY , Chen , CH and Liu , HR . 2006 . Economic Design of EWMA Charts with Variable Sampling Intervals . Quality and Quantity , 40 : 879 – 896 .
   Web of Science ®Google Scholar
• Chou , CY and Liu , HR . 2002 . Economic–statistical Design of Multivariate Control Charts using Quality Loss Function . International Journal of Advanced Manufacturing Technology , 20 : 916 – 924 .
   Web of Science ®Google Scholar
• Crosier , RB . 1988 . Multivariate Generalizations of Cumulative Sum Quality Control Schemes . Technometrics , 30 : 291 – 303 .
   Web of Science ®Google Scholar
• Duncan , AJ . 1956 . The Economic Design of x-charts used to Maintain Current Control of a Process . Journal of the American Statistical Association , 51 : 228 – 242 .
   Web of Science ®Google Scholar
• Elsayed , EA and Chen , A . 1994 . An Economic Design of x-bar Control Chart using Quadratic Loss Function . International Journal of Production Research , 32 : 873 – 887 .
   Web of Science ®Google Scholar
• Goel , AL and Wu , SM . 1973 . Economically Optimum Design of CUSUM Charts . Management Science , 19 : 1271 – 1282 .
   Google Scholar
• Healy , JD . 1987 . A Note on Multivariate CUSUM Procedures . Technometrics , 29 : 409 – 412 .
   Web of Science ®Google Scholar
• Holland , J . 1975 . Adaptation in Natural and Artificial Systems , Ann Arbor, MI : The University of Michigan Press .
   Google Scholar
• Hooke , R and Jeeves , TA . 1961 . Direct Search Solution of Numerical and Statistical Problems . Journal of the Association for Computing Machinery , 8 : 212 – 229 .
   Google Scholar
• Jiao , JR and Helo , PT . 2008 . Optimization Design of a CUSUM Control Chart Base on Taguchi's Loss Function . International Journal of Advanced Manufacturing Technology , 35 : 1235 – 1243 .
   Web of Science ®Google Scholar
• Kapur , KC and Cho , BK . 1996 . Economic Design of Specification Region for Multiple Characteristics . IIE Transactions , 28 : 237 – 248 .
   Web of Science ®Google Scholar
• Linderman, K. (1998), ‘Economic Design of Multivariate Exponentially Weighted Moving Average (MEWMA) Control Charts’, Ph.D. thesis, Case Western Reserve University.
   Google Scholar
• Linderman , K and Love , TE . 2000 . Economic and Economic Statistical Designs for MEWMA Control Charts . Journal of Quality Technology , 32 : 410 – 417 .
   Web of Science ®Google Scholar
• Lorenzen , TJ and Vance , LC . 1986 . The Economic Design of Control Charts: A Unified Approach . Technometrics , 28 : 3 – 10 .
   Web of Science ®Google Scholar
• Molnau , WE , Montgomery , DC and Runger , GC . 2001 . Statistically Constrained Designs of the Multivariate Exponentially Weighted Moving Average Control Chart . Quality and Reliability Engineering International , 7 : 39 – 49 .
   Web of Science ®Google Scholar
• Montgomery , DC . 2005 . Design and Analysis of Experiments, , 6th , New York : John Wiley & Sons .
   Google Scholar
• Montgomery , DC , Torng , JCC , Cochran , JK and Lowerance , FP . 1995 . Statistically Constrained Economic Design of the EWMA Control Chart . Journal of Quality Technology , 27 : 250 – 256 .
   Web of Science ®Google Scholar
• Ngai , H and Zhang , J . 2001 . Multivariate Cumulative Sum Control Charts based on Projection Pursuit . Statistica Sinica , 11 : 747 – 766 .
   Web of Science ®Google Scholar
• Niak , STA , Ershadi , MJ and Malaki , M . 2010 . Economic and Economic-statistical Designs of MEWMA Control Charts – A Hybrid Taguchi Loss, Markov Chain and Genetic Algorithm Approach . International Journal of Advanced Manufacturing Technology , 48 : 283 – 296 .
   Web of Science ®Google Scholar
• Page , ES . 1954 . Continuous Inspection Schemes . Biometrika , 41 : 1 – 9 .
   Web of Science ®Google Scholar
• Pignatiello , JJ and Runger , GC . 1990 . Comparisons of Multivariate CUSUM Charts . Journal of Quality Technology , 22 : 173 – 186 .
   Web of Science ®Google Scholar
• Saniga , EM . 1989 . Economic Statistical Control Chart with an Application to X-Bar and R Charts . Technometrics , 31 : 313 – 320 .
   Web of Science ®Google Scholar
• Saraie , A . 2007 . Economic-statistical Design of MC1 Control Charts . International Journal of Advanced Manufacturing Technology , 32 : 157 – 161 .
   Web of Science ®Google Scholar
• Serel , DA and Moskowitz , H . 2008 . Joint Economic Design of EWMA Control Charts for Mean and Variance . European Journal of Operational Research , 184 : 157 – 168 .
   Web of Science ®Google Scholar
• Shewhart , WAT . 1931 . Economic Control of Quality of Manufactured Product , New York , , USA : Van Nostrand .
   Google Scholar
• Taguchi , G and Wu , Y . 1985 . Introduction to Off-Line Quality Control , Tokyo : Central Japan Quality Control Association .
   Google Scholar
• Taylor , HM . 1968 . The Economic Design of Cumulative Sum Control Charts . Technometrics , 10 : 479 – 488 .
   Web of Science ®Google Scholar
• Torng , JCC , Montgomery , DC and Cochran , JK . 1994 . Economic Design of the EWMA Control Chart . Economic Quality Control , 9 : 3 – 23 .
   Google Scholar