Joint statistical design of X¯ and s charts with combined double sampling and variable sampling interval
A combination of double sampling and variable sampling interval (DSVSI) charts can increase the efficiency of signaling small shifts. This study proposes joint DSVSI X¯ and s charts and investigates their statistical performance. The proposed approach uses a Markov chain approach to compute the statistical performance, and uses a statistical design model to design DSVSI X¯ and s charts for detecting the mean shift and variance increase. A comparison study shows that the DSVSI X¯ and s charts are better able to signal the shifts of both mean and variance than joint double sampling X¯ and s chart, adaptive X¯ and R charts, EWMA, and CUSUM charts.
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Volume (Year): 225 (2013)
Issue (Month): 2 ()
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- Lee, Pei-Hsi & Torng, Chau-Chen & Liao, Li-Fang, 2012. "An economic design of combined double sampling and variable sampling interval X¯ control chart," International Journal of Production Economics, Elsevier, vol. 138(1), pages 102-106.
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- Lee, Pei-Hsi, 2011. "Adaptive R charts with variable parameters," Computational Statistics & Data Analysis, Elsevier, vol. 55(5), pages 2003-2010, May.
- Wu, Zhang & Yang, Mei & Jiang, Wei & Khoo, Michael B.C., 2008. "Optimization designs of the combined Shewhart-CUSUM control charts," Computational Statistics & Data Analysis, Elsevier, vol. 53(2), pages 496-506, December.
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