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Original Articles

The Revised m-of-k Runs Rule Based on Median Run Length

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Pages 1463-1477 | Received 22 Oct 2010, Accepted 06 Jul 2011, Published online: 30 Apr 2012

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (12)

Zahra Jalilibal, Mohammad Hassan Ahmadi Karavigh, Amirhossein Amiri & Michael B. C. Khoo. (2023) Run rules schemes for statistical process monitoring: a literature review. Quality Technology & Quantitative Management 20:1, pages 21-52.
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Z. L. Chong, K. L. Tan, Michael B. C. Khoo, W. L. Teoh & P. Castagliola. (2022) Optimal designs of the exponentially weighted moving average (EWMA) median chart for known and estimated parameters based on median run length. Communications in Statistics - Simulation and Computation 51:7, pages 3660-3684.
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Anan Tang, Philippe Castagliola, Jinsheng Sun & Xuelong Hu. (2019) Optimal design of the adaptive EWMA chart for the mean based on median run length and expected median run length. Quality Technology & Quantitative Management 16:4, pages 439-458.
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Sandile C. Shongwe & Marien A. Graham. (2018) A modified side-sensitive synthetic chart to monitor the process mean. Quality Technology & Quantitative Management 15:3, pages 328-353.
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Siow Yin Nyau, Ming Ha Lee & M. L. Dennis Wong. (2017) Optimal statistical design of variable sample size multivariate exponentially weighted moving average control chart based on median run-length. Quality Technology & Quantitative Management 14:4, pages 478-495.
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Ming Ha Lee & Michael B. C. Khoo. (2017) Optimal design of synthetic np control chart based on median run length. Communications in Statistics - Theory and Methods 46:17, pages 8544-8556.
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Zhi Lin Chong, Michael B. C. Khoo, Ming Ha Lee & Chung-Ho Chen. (2017) Group runs revised m-of-k runs rule control chart. Communications in Statistics - Theory and Methods 46:14, pages 6916-6935.
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Ming Ha Lee & Michael B. C. Khoo. (2017) Optimal designs of multivariate synthetic |S| control chart based on median run length. Communications in Statistics - Theory and Methods 46:6, pages 3034-3053.
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Michael B. C. Khoo, Philippe Castagliola, J. Y. Liew, W. L. Teoh & Petros E. Maravelakis. (2016) A Study on EWMA charts with runs rules—the Markov chain approach. Communications in Statistics - Theory and Methods 45:14, pages 4156-4180.
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Ming Ha Lee & Michael B. C. Khoo. (2015) Variable Sampling Interval Cumulative Count of Conforming Chart with Runs Rules. Communications in Statistics - Simulation and Computation 44:9, pages 2410-2430.
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Sven Knoth. (2015) Run length quantiles of EWMA control charts monitoring normal mean or/and variance. International Journal of Production Research 53:15, pages 4629-4647.
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Spiros D. Dafnis, Theodoros Perdikis & Markos V. Koutras. Improved shewhart-type control charts based on weak runs in multistate trials. Quality Technology & Quantitative Management 0:0, pages 1-18.
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Articles from other publishers (12)

Marta Benková, Dagmar Bednárová, Gabriela Bogdanovská & Marcela Pavlíčková. (2023) Use of Statistical Process Control for Coking Time Monitoring. Mathematics 11:16, pages 3444.
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Sotiris Bersimis, Markos V. Koutras & Athanasios C. Rakitzis. 2019. Handbook of Scan Statistics. Handbook of Scan Statistics 1 32 .
Jean-Claude Malela-Majika & Marien Alet Graham. (2019) New Shewhart-type synthetic $$\bar{X}$$X¯ control schemes for non-normal data. Journal of Industrial Engineering International 15:3, pages 449-478.
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Markos V. Koutras & Athanasios C. Rakitzis. (2018) Control charts with random interarrival times between successive samplings. Applied Stochastic Models in Business and Industry 35:3, pages 651-670.
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Yoojin Lee & Jaeheon Lee. (2016) The effect of parameter estimation on <TEX>$\bar{X}$</TEX> charts based on the median run length. Journal of the Korean Data and Information Science Society 27:6, pages 1487-1498.
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S. C. Shongwe & M. A. Graham. (2016) On the Performance of Shewhart-type Synthetic and Runs-rules Charts Combined with an X¯ Chart. Quality and Reliability Engineering International 32:4, pages 1357-1379.
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W. L. Teoh, Michael B. C. Khoo, Philippe Castagliola & S. Chakraborti. (2015) A median run length-based double-sampling X ¯ $$ \overline{X} $$ chart with estimated parameters for minimizing the average sample size. The International Journal of Advanced Manufacturing Technology 80:1-4, pages 411-426.
Crossref
Zhi Lin Chong, Michael Boon Chong Khoo, Sin Yin Teh & Wei Lin Teoh. (2015) A synthetic revised m-of-k runs rules control chart. A synthetic revised m-of-k runs rules control chart.
W.L. Teoh, Michael B.C. Khoo, Philippe Castagliola & S. Chakraborti. (2014) Optimal design of the double sampling chart with estimated parameters based on median run length. Computers & Industrial Engineering 67, pages 104-115.
Crossref
Wei Lin Teoh, Michael B. C. Khoo & Sin Yin Teh. (2013) Optimal Designs of the Median Run Length Based Double Sampling X̄ Chart for Minimizing the Average Sample Size. PLoS ONE 8:7, pages e68580.
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M B C Khoo. (2013) Power functions of the Shewhart control chart. Journal of Physics: Conference Series 423, pages 012008.
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Wei Lin Teoh & Michael B. C. Khoo. (2012) Optimal Design of the Double Sampling X Chart Based on Median Run Length. International Journal of Chemical Engineering and Applications, pages 303-306.
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