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Joint statistical design of and s charts with combined double sampling and variable sampling interval

2012; Elsevier BV; Volume: 225; Issue: 2 Linguagem: Inglês

10.1016/j.ejor.2012.08.020

1872-6860

Pei-Hsi Lee,

Advanced Statistical Methods and Models

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.