Steady-state behavior of nonparametric control charts using sign statistic

Abstract If process is running for a long period in an in-control condition, it will reach in a steady-state condition. In order to study the long term properties of a control chart, it is appropriate to investigate the steady-state average time to signal. In this article, we discussed runs rules re...

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Veröffentlicht in:Produção : uma publicação da Associação Brasileira de Engenharia de Produção 2015-12, Vol.25 (4), p.739-749
Hauptverfasser: Khilarea, Shashikant Kuber, Shirke, Digambar Tukaram
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Sprache:eng
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Zusammenfassung:Abstract If process is running for a long period in an in-control condition, it will reach in a steady-state condition. In order to study the long term properties of a control chart, it is appropriate to investigate the steady-state average time to signal. In this article, we discussed runs rules representation of a nonparametric synthetic control chart using sign statistic for detecting shifts in location parameter. We compared zero-state average time to signal with steady-state average time to signal of the synthetic control chart for symmetric and asymmetric distributions. We also present the m-of-m control chart using sign statistic. For comparison study, we computed average time to signal of the m-of-m control chart, the sign chart (1-of-1 chart) and the synthetic control chart for normal, Cauchy, double exponential and gamma distributions. Steady-state and zero-state performance of the m-of-m control chart with m = 2, 3 compared with the sign chart (1-of-1 chart) and synthetic control chart. The zero-state and steady-state average time to signal of the synthetic and the m-of-m control charts computed using Markov chain approach.
ISSN:0103-6513
1980-5411
1980-5411
DOI:10.1590/0103-6513.113112