Run sum control charts for the monitoring of process variability

References

• Acosta-Mejia, C.A. (2013). Two-sided charts for monitoring nonconforming parts per million. Quality Engineering, 25, 34–45. doi: 10.1080/08982112.2012.730366.
   Web of Science ®Google Scholar
• Acosta-Mejia, C.A., & Pignatiello, J.J. Jr. (2008). Modified R charts for improved performance. Quality Engineering, 20, 361–369. doi: 10.1080/08982110802178980.
   Google Scholar
• Acosta-Mejia, C.A., & Pignatiello, J.J. Jr. (2009). ARL-design of S charts with k-of-k runs rules. Communications in Statistics–Simulation and Computation, 38, 1625–1639. doi: 10.1080/03610910903068159.
   Web of Science ®Google Scholar
• Acosta-Mejia, C.A., & Pignatiello, J.J. Jr. (2010). The run sum R chart with fast initial response. Communications in Statistics–Simulation and Computation, 39, 921–932. doi: 10.1080/03610911003663899.
   Web of Science ®Google Scholar
• Acosta-Mejia, C.A., Pignatiello, J.J. Jr, & Rao, B.V. (1999). A comparison of control charting procedures for monitoring process dispersion. IIE Transactions, 31, 569–579. doi: 10.1080/07408179908969859.
   Web of Science ®Google Scholar
• Aguirre-Torres, V., & Reyes-Lopez, D. (1999). Run sum charts for both X¯ and R. Quality Engineering, 12, 7–12. doi: 10.1080/08982119908962551.
   Google Scholar
• Ahmad, S., Riaz, M., Abbasi, S.A., & Lin, Z. (2013). On monitoring process variability under double sampling scheme. International Journal of Production Economics, 142, 388–400. doi: 10.1016/j.ijpe.2012.12.015.
   Web of Science ®Google Scholar
• Antzoulakos, D.L., & Rakitzis, A.C. (2010). Runs rules schemes for monitoring process variability. Journal of Applied Statistics, 37, 1231–1247. doi: 10.1080/02664760903002683.
   Web of Science ®Google Scholar
• Champ, C.W., & Rigdon, S.E. (1997). Analysis of the run sum control chart. Journal of Quality Technology, 29, 407–417.
   Web of Science ®Google Scholar
• Champ, C. W., & Woodall, W.H. (1987). Exact results for Shewhart control charts with supplementary runs rules. Technometrics, 29, 393–399. doi: 10.2307/1269449.
   Web of Science ®Google Scholar
• Davis, R.B., & Krehbiel, T.C. (2002). Shewhart and zone control chart performance underline art rend. Communications in Statistics–Simulation and Computation, 31, 91–96. doi: 10.1081/SAC-9687284.
   Web of Science ®Google Scholar
• Davis, R.B., Chun, J., & Guo, Y. (1994). Improving the performance of the zone control chart. Communications in Statistics–Theory and Methods, 23, 3557–3565. doi: 10.1080/03610929408831464.
   Web of Science ®Google Scholar
• Davis, R.B., Homer, A., & Woodall, W.H. (1990). Performance of the zone control chart. Communications in Statistics–Theory and Methods, 19, 1581–1587. doi: 10.1080/03610929008830278.
   Web of Science ®Google Scholar
• Fu, J.C., & Lou, W.Y.W. (2003). Distribution theory of runs and patterns and its applications: A finite Markov Chain imbedding approach. New Jersey: World Scientific.
   Google Scholar
• Fu, J.C., Spiring, F.A., & Xie, H. (2002). On the average run lengths of quality control schemes using a Markov chain approach. Statistics and Probability Letters, 56, 369–380. doi: 10.1016/S0167-7152(01)00183-3.
   Web of Science ®Google Scholar
• Ho, C.C., & Case, K.E. (1994). An economic design of the zone control chart for monitoring process centering and variation. Computers and Industrial Engineering, 26, 213–221. doi: 10.1016/0360-8352(94)90056-6.
   Google Scholar
• Jaehn, A.H. (1991). The zone control chart. Quality Progress, 24, 65–68.
   Google Scholar
• Johnson, N.L., Kotz, S., & Balakrishnan, N. (1995). Continuous univariate distributions (vol. 2, 2nd ed.). New York: Wiley.
   Google Scholar
• Khoo, M.B.C., Sitt, C.K., Wu, Z., & Castagliola, P. (2013). A run sum Hotelling’s χ2 control chart.. Computers and Industrial Engineering, 64, 686–695. doi: 10.1016/j.cie.2012.11.008.
   Web of Science ®Google Scholar
• Klein, M. (2000). Modified S-charts for controlling process variability. Communications in Statistics–Simulation and Computation, 29, 919–940. doi: 10.1080/03610910008813646.
   Web of Science ®Google Scholar
• Lowry, C.A., Champ, C.W., & Woodall, W.H. (1995). The performance of control charts for monitoring process variation. Communications in Statistics–Simulation and Computation, 24, 409–437. doi: 10.1080/03610919508813250.
   Web of Science ®Google Scholar
• Nelson, L.S. (1990). Monitoring reduction in variation with a range chart. Journal of Quality Technology, 22, 163–165.
   Web of Science ®Google Scholar
• Ou, Y., Wu, Z., & Tsung, F. (2012). A comparison study of effectiveness and robustness of control charts for monitoring process mean. International Journal of Production Economics, 135, 479–490. doi: 10.1016/j.ijpe.2011.08.026.
   Web of Science ®Google Scholar
• Rakitzis, A.C., & Antzoulakos, D.L. (2011). On the improvement of one-sided S control charts. Journal of Applied Statistics, 38, 2839–2858. doi: 10.1080/02664763.2011.570320.
   Web of Science ®Google Scholar
• Rakitzis, A.C., & Antzoulakos, D.L. (2014). Control charts with switching and sensitizing runs rules for monitoring process variation. Journal of Statistical Computation and Simulation, 84, 37–56. doi: 10.1080/00949655.2012.693931.
   Web of Science ®Google Scholar
• Reynolds, J.H. (1971). The run sum control chart procedure. Journal of Quality Technology, 3, 23–27.
   Google Scholar
• Riaz, M., Mehmood, R., & Does, R.J.M.M. (2011). On the performance of different control charting rules. Quality and Reliability Engineering International, 27, 1059–1067. doi: 10.1002/qre.1195.
   Web of Science ®Google Scholar
• Roberts, S.W. (1966). A comparison of some control chart procedures. Technometrics, 8, 411–430. doi: 10.2307/1266688.
   Web of Science ®Google Scholar
• Ryan, T.P. (2000). Statistical methods for quality improvement (2nd ed.). New York: Wiley.
   Google Scholar
• Schoonhoven, M., Riaz, M., & Does, R.J.M.M. (2011). Design and analysis of control charts for standard deviation with estimated parameters. Journal of Quality Technology, 43, 307–333.
   Web of Science ®Google Scholar
• Wu, Z., Ou, Y., Castagliola, P., & Khoo, M.B.C. (2010). A combined synthetic & X chart for monitoring the process mean. International Journal of Production Research, 48, 7423–7436. doi: 10.1080/00207540903496681.
   Web of Science ®Google Scholar
• Yang, C., & Hillier, F. (1970). Mean and variance control chart limits based on a small number of subgroups. Journal of Quality Technology, 2, 9–16.
   Google Scholar