A Synthetic Control Chart for Detecting Small Shifts in the Process Mean

Wu, Zhang; Spedding, Trevor A

doi:10.1080/00224065.2000.11979969

Cited by 210 publications

(185 citation statements)

References 13 publications

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“…According to [11] when L increases, the synthetic X chart behaves approximately like the usual Shewhart X chart. Wu and Spedding [8] showed that the synthetic X chart is quicker in detecting small mean shifts compared to the Shewhart X chart. In addition, [8] also pointed out that the synthetic X chart is less effective than the Exponentially Weighted Moving Average (EWMA) chart in detecting small shifts.…”

Section: The Synthetic X Chartmentioning

confidence: 99%

“…Wu and Spedding [8] showed that the synthetic X chart is quicker in detecting small mean shifts compared to the Shewhart X chart. In addition, [8] also pointed out that the synthetic X chart is less effective than the Exponentially Weighted Moving Average (EWMA) chart in detecting small shifts. However, it is usually not advisable to detect very small shifts in a process to avoid too frequent process interruption.…”

Section: The Synthetic X Chartmentioning

confidence: 99%

“…The synthetic X chart was suggested by [8]. Costa and Rahim [9] stated that an increased interest in researching on the synthetic X chart, compared to other types of charts, may be due to the fact that an analyst prefers waiting until the presence of a second point falling outside the control limits before taking action to investigate the assignable causes.…”

Section: The Synthetic X Chartmentioning

confidence: 99%

“…However, it is usually not advisable to detect very small shifts in a process to avoid too frequent process interruption. According to [8], the control limits for the X /S sub-chart are as follows:…”

Section: The Synthetic X Chartmentioning

confidence: 99%

See 3 more Smart Citations

A Study on the Run Length Distribution of Synthetic X Chart

Chong¹,

Khoo²,

You³

2016

IJET

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Abstract-Quality is a vital element in every field. In order to compete among the competitors, the manufacturer or service provider should produce or provide quality product or service. However, before a product or service can be considered as having an acceptable quality level, all the processes producing the product (or providing the service) should be in-control. The synthetic X chart consists of two sub-charts, i.e. the X /S sub-chart and CRL/S sub-chart. The synthetic X chart is used to detect shifts in the process mean. In this paper, we study the percentage points (percentiles) of the run length distribution of the synthetic X chart so as to provide practitioners with a more complete understanding of the behaviour of the chart, instead of the sole dependence on the average run length (ARL).Index Terms-Average run length (ARL), conforming run length (CRL), run length distribution, synthetic X chart.

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Section: The Synthetic X Chartmentioning

confidence: 99%

Section: The Synthetic X Chartmentioning

confidence: 99%

Section: The Synthetic X Chartmentioning

confidence: 99%

Section: The Synthetic X Chartmentioning

confidence: 99%

See 2 more Smart Citations

A Study on the Run Length Distribution of Synthetic X Chart

Chong¹,

Khoo²,

You³

2016

IJET

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“…In the literature, Wu & Spedding (2000) studied the synthetic control chart for detecting small shifts in the process mean. Wu et al (2001) proposed the synthetic control chart for fraction nonconforming and reported that the synthetic control chart has higher power of detecting out-of-control signal.…”

Section: Synthetic Control Chart Using Sign Statisticmentioning

confidence: 99%

Steady-state behavior of nonparametric control charts using sign statistic

Khilare¹,

Shirke

2015

Prod.

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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.

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Alternatives to Shewhart Charts

Ryan

2011

Statistical Methods for Quality Improvement

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A Synthetic Control Chart for Detecting Small Shifts in the Process Mean

Cited by 210 publications

References 13 publications

A Study on the Run Length Distribution of Synthetic X Chart

A Study on the Run Length Distribution of Synthetic X Chart

Steady-state behavior of nonparametric control charts using sign statistic

Alternatives to Shewhart Charts

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