Exponential cumulative sums chart for detecting shifts in time-between-events

References

• Borror, C. M., J. B. Keats, and D. C. Montgomery. 2003. “Robustness of the Time between Events CUSUM.” International Journal of Production Research 41 (15): 3435–3444.10.1080/0020754031000138321
   Web of Science ®Google Scholar
• Bourke, P. D. 1991. “Detecting a Shift in Fraction Nonconforming Using Run-length Control Charts with 100% Inspection.” Journal of Quality Technology 23 (3): 225–238.
   Web of Science ®Google Scholar
• Bourke, P. D. 2006. “The RL2 Chart versus the np Chart for Detecting Upward Shifts in Fraction Defective.” Journal of Applied Statistics. 33 (1): 1–15.10.1080/02664760500389400
   Web of Science ®Google Scholar
• Brooks, D., and D. A. Evans. 1972. “An Approach to the Probability Distribution of Cusumrun Length.” Biometrika 59: 539–549.10.1093/biomet/59.3.539
   Web of Science ®Google Scholar
• Calvin, T. W. 1983. “Quality Control Techniques for ‘Zero-defects’.” IEEE Transactions on Components, Hybrids, and Manufacturing Technology 6 (3): 323–328.10.1109/TCHMT.1983.1136174
   Web of Science ®Google Scholar
• Chan, L. Y., M. Xie, and T. N. Goh. 2000. “Cumulative Quantity Control Charts for Monitoring Production Processes.” International Journal of Production Research 38 (2): 397–408.10.1080/002075400189482
   Web of Science ®Google Scholar
• Domangue, R., and S. C. Patch. 1991. “Some Omnibus Exponentially Weighted Moving Average Statistical Process Monitoring Schemes.” Technometrics 33 (3): 299–313.10.1080/00401706.1991.10484836
   Web of Science ®Google Scholar
• Duncan, A. J. 1956. “The Economic Design of X¯ Chart to Maintain Current Control of a Process.” Journal of the American Statistical Association 51: 228–241.
   Web of Science ®Google Scholar
• Gadre, M. P., and R. N. Rattihalli. 2005. “Unit and Group-runs Chart to Identify Increases in Fraction Nonconforming.” Journal of Quality Technology 37 (3): 199–209.
   Web of Science ®Google Scholar
• Gan, F. F. 1992.”Exact Run Length Distributions for One-sided Exponential CUSUM Schemes.” StatisticaSinica 2 (1): 297–312.
   Web of Science ®Google Scholar
• Goh, T. N. 1987. “A Control Chart for Very High Yield Processes.” Quality Assurance 13 (1): 18–22.
   Google Scholar
• Graham, M. A., S. Chakraborti, and A. Mukherjee. 2014. “Design and Implementation of CUSUMexceedance Control Charts for Unknown Location.” International Journal of Production Research 52 (18): 5546–5564.10.1080/00207543.2014.917214
   Web of Science ®Google Scholar
• Han, D., and F. Tsung. 2006. “A Reference-free Cuscorechart for Dynamic Mean Change Detection and a Unified Framework for Charting Performance Comparison.” Journal of the American Statistical Association 101: 368–386.10.1198/016214505000000556
   Web of Science ®Google Scholar
• Khoo, M. B. C., and M. Xie. 2009. “A Study of Time-between-events Control Chart for the Monitoring of Regularly Maintained Systems.” Quality and Reliability Engineering International 25 (7): 805–819.10.1002/qre.v25:7
   Web of Science ®Google Scholar
• Li, C. 2013. “An Integrated Approach to Evaluating the Production System in Closed-loop Supply Chains.” International Journal of Production Research 51 (13): 4045–4069.10.1080/00207543.2013.774467
   Web of Science ®Google Scholar
• Lim, S. L., M. B. C. Khoo, W. L. Teoh, and M. Xie. 2015. “Optimal Designs of the Variable Sample Size and Sampling Interval X¯ Chart When Process Parameters Are Estimated.” International Journal of Production Economics 166: 20–35.10.1016/j.ijpe.2015.04.007
   Web of Science ®Google Scholar
• Lucas, J. M. 1985. “Counted Data CUSUM’s.” Technometrics 27 (2): 129–144.10.1080/00401706.1985.10488030
   Web of Science ®Google Scholar
• Mukherjee, A., and M. Marozzi. 2016. “Distribution-free Lepage Type Circular-grid Charts for Joint Monitoring of Location and Scale Parameters of a Process.” Quality and Reliability Engineering International 33: 241–274.
   Web of Science ®Google Scholar
• Mukherjee, A., M. A. Graham, and Chakraborti, S.. 2013. “Distribution-free Exceedance CUSUM Control Charts for Location.” Communications in Statistics-Simulation and Computation 42 (5): 1153–1187.10.1080/03610918.2012.661638
   Web of Science ®Google Scholar
• Mukherjee, A., A. K. McCracken, and S. Chakraborti. 2015. “Control Charts for Simultaneous Monitoring of Parameters of a Shifted Exponential Distribution.” Journal of Quality Technology 47 (2): 176–192.10.1080/00224065.2015.11918123
   Web of Science ®Google Scholar
• Qu, L., Z. Wu, and T. I. Liu. 2011. “A Control Scheme Integrating the T Chart and TCUSUM Chart.” Quality and Reliability Engineering International 27 (4): 529–539.10.1002/qre.1153
   Web of Science ®Google Scholar
• Qu, L., Z. Wu, M. B. C. Khoo, and P. Castagliola. 2013. “A CUSUM Scheme for Events Monitoring.” International Journal of Production Economics 145 (1): 268–280.10.1016/j.ijpe.2013.04.048
   Web of Science ®Google Scholar
• Qu, L., Z. Wu, A. Rahim, and M. B. C. Khoo. 2015. “A Balanced Two-sided CUSUM Chart for Monitoring Time between Events.” European Journal of Industrial Engineering 9 (1): 1–26.10.1504/EJIE.2015.067446
   Web of Science ®Google Scholar
• Reynolds Jr, M. R., and Z. G. Stoumbos. 2004. “Should Observations Be Grouped for Effective Process Monitoring.” Journal of Quality Technology 36 (4): 343–366.
   Web of Science ®Google Scholar
• Shen, X., F. Tsung, and C. Zou. 2014. “A New Multivariate EWMA Scheme for Monitoring Covariance Matrices.” International Journal of Production Research 52 (10): 2834–2850.10.1080/00207543.2013.842019
   Web of Science ®Google Scholar
• Taguchi, G., and Y. Wu. 1980. Introduction to off-Line Quality Control. Nagoya: Central Japan Quality Control Association.
   Google Scholar
• Tamura, R. 1963. “On a Modification of Certain Rank Tests”, The Annals of Mathematical Statistics 34: 1101–1103.10.1214/aoms/1177704035
   Google Scholar
• Vardeman, S., and D. Ray. 1985. “Average Run Lengths for CUSUM Schemes When Observations are Exponentially Distributed.” Technometrics 27 (2): 145–150.10.1080/00401706.1985.10488031
   Web of Science ®Google Scholar
• Woodall, W. H., and D. C. Montgomery. 1999. “Research Issues and Ideas in Statistical Process Control.” Journal of Quality Technology 31 (4): 376–386.
   Web of Science ®Google Scholar
• Wu, Z., X. L. Zhang, and S. H. Yeo. 2001. “Design of the Sum-of-Conforming-Run-Length Control Chart.” European Journal of Operational Research 132 (1): 187–196.10.1016/S0377-2217(00)00131-4
   Web of Science ®Google Scholar
• Wu, Z., M. Xie, and Y. Tian. 2002. “Optimal Design of the X-bar & S Charts for Monitoring Process Capability.” Journal of Manufacturing Systems 21 (2): 83–92.10.1016/S0278-6125(02)80002-4
   Web of Science ®Google Scholar
• Wu, Z., J. X. Jiao, and Y. Liu. 2008. “A Binomial CUSUM Chart for Detecting Large Shifts in Fraction Nonconforming.” Journal of Applied Statistics 35 (11): 1267–1276.10.1080/02664760802320533
   Web of Science ®Google Scholar
• Xie, M., T. N. Goh, and X. S. Lu. 2002. “Some Effective Control Chart Procedures for Reliability Monitoring.” Reliability Engineering and System Safety 77 (2): 143–150.10.1016/S0951-8320(02)00041-8
   Web of Science ®Google Scholar
• Yang, J., H. Yu, Y. Cheng, and M. Xie. 2015. “Design of Exponential Control Charts Based on Average Time to Signal Using a Sequential Sampling Scheme.” International Journal of Production Research 53 (7): 2131–2145.10.1080/00207543.2014.974848
   Web of Science ®Google Scholar
• Zhang, C. W., M. Xie, J. Y. Liu, and T. N. Goh. 2007. “A Control Chart for the Gamma Distribution as a Model of Time between Events.” International Journal of Production Research 45 (23): 5649–5666.10.1080/00207540701325082
   Web of Science ®Google Scholar
• Zhang, C. W., M. Xie, and T. N. Goh. 2008. “Economic Design of Cumulative Count of Conforming Charts under Inspection by Samples.” International Journal of Production Economics 111 (1): 93–104.10.1016/j.ijpe.2006.11.015
   Web of Science ®Google Scholar
• Zhong, J., Y. Ma, and Y. L. Tu. 2016. “Integration of SPC and Performance Maintenance for Supply Chain System.” International Journal of Production Research 54 (19): 5932–5945.10.1080/00207543.2016.1189104
   Web of Science ®Google Scholar