A side-sensitive synthetic chart combined with an<ovl><i>X</i></ovl>chart

Machado, Marcela Aparecida Guerreiro; Costa, Antônio Fernando Branco

doi:10.1080/00207543.2013.879221

Cited by 30 publications

(40 citation statements)

References 30 publications

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“…The ZS run‐length is the number of sampling points at which the chart first signals given it begins in some initial state; that is, we assume that the mean shift always takes place at the beginning of the process, and thus, all sample points within the span are taken under the OOC condition. However, the SS run‐length is the number of sampling points at which the chart first signals given that the process begins and stays IC for a very long time; then at some random time, an OOC signal is observed; see Champ, Davis and Woodall, Zhang and Wu, and Machado and Costa . This is further discussed in the Appendix.…”

Section: Operation and Design Considerationsmentioning

confidence: 99%

“…Because the ARL only measures the performance of a chart at some specific shifts, a number of authors have suggested the use of additional indices to measure the overall performance of the charts; see, for example, Wu et al ., Abujiya et al ., and Machado and Costa . Because it is usually unknown what specific shift value(s) a control chart should be optimized for, Wu et al .…”

Section: Operation and Design Considerationsmentioning

confidence: 99%

“…Hence, SC1 gives an OOC signal either when one plotting statistic falls on the action region (i.e., region E) or when two nonconforming samples out of H + 1 successive samples fall on the warning region (i.e., region U), which are separated by at most H − 1 conforming samples that fall on the central region (i.e., region O). The SSS Synthetic‐

\overset{X}{true}

chart (adopted from Davis and Woodall – denoted by SC2) with the charting regions shown in Figure (b). Hence, SC2 gives an OOC signal either when one plotting statistic falls on the action region (i.e., region E) or when two nonconforming samples out of H + 1 successive samples fall on the upper (lower) warning regions, which are separated by at most H − 1 samples that fall on either the central region or the lower (upper) warning region, respectively. The RSS Synthetic‐

\overset{X}{true}

chart (by Machado and Costa – denoted by SC3) with the charting regions shown in Figure (b). Hence, SC3 gives an OOC signal either when one plotting statistic falls on the action region (i.e., region E) or when two nonconforming samples out of H + 1 successive samples fall on the upper (lower) warning region, which are separated by at most H‐1 conforming samples that fall on the central region, respectively.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

On the Performance of Shewhart-type Synthetic and Runs-rules Charts Combined with an X¯ Chart

Shongwe

Graham

2015

Qual. Reliab. Engng. Int.

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A synthetic ̅ chart is a combination of a conforming run-length chart and an ̅ chart, or equivalently, a 2-of-(H+1) runs-rules (RR) chart with a head-start feature. However, a synthetic ̅ chart combined with an ̅ chart is called a Synthetic-̅ chart. In this article, we build a framework for Shewhart Synthetic-̅ and improved RR (i.e. 1-of-1 or 2-of-(H+1) without head-start) charts by conducting an in-depth zero-state and steady-state study to gain insight into the design of different classes of these schemes and their performance using the Markov chain imbedding technique. More importantly, we propose a modified side-sensitive Synthetic-̅ chart, and then using overall performance measures we show that this new chart has a uniformly better performance than its Shewhart competitors. We also provide easy to use tables for each of the chart"s design parameters to aid practical implementation. Moreover, a performance comparison with their corresponding counterparts (i.e. synthetic ̅ and RR charts) is conducted.

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Section: Operation and Design Considerationsmentioning

confidence: 99%

Section: Operation and Design Considerationsmentioning

confidence: 99%

\overset{X}{true}

\overset{X}{true}

Section: Introductionmentioning

confidence: 99%

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On the Performance of Shewhart-type Synthetic and Runs-rules Charts Combined with an X¯ Chart

Shongwe

Graham

2015

Qual. Reliab. Engng. Int.

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“…Concerning recent researches on synthetic charts, Machado and Costa (2014) presented a side-sensitive synthetic chart combined with an X chart while Yeong et al (2013) proposed the economic and economic statistical designs of the synthetic chart using loss functions. An optimal statistical design of the MRL-based synthetic chart for the mean was is compared with these charts in Section 5.…”

Section: Introductionmentioning

confidence: 99%

Side-sensitive group runs double sampling (SSGRDS) chart for detecting mean shifts

Khoo

Tan

Chong

et al. 2015

International Journal of Production Research

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This paper proposes a side-sensitive group runs double sampling (SSGRDS) chart to detect shifts in the process mean. It improves the side-sensitive group runs chart proposed by Gadre and Rattihalli. The implementation of the SSGRDS chart is explained. The newly developed SSGRDS chart is compared with the synthetic, double sampling, synthetic double sampling, side-sensitive group runs and exponentially weighted moving average charts, in terms of the zero-state and steady-state average number of observations to signal (ANOS) and expected average number of observations to signal (EANOS). The zero-state and steady-state ANOS (ssANOS) and EANOS results reveal that the optimal SSGRDS chart generally performs well for detecting small and large mean shifts, from an overall perspective, compared with the optimal versions of other competing charts. This article provides tables of optimal charting parameters to facilitate the design of the SSGRDS chart. From these tables, the user can directly determine the optimal charting parameters for (i) minimising the standardised mean shift d opt À Á , based on different combinations of in-control ANOS ANOS 0 ð Þ and in-control average sample size ASS 0 ð Þ, or (ii) minimising an overall range of shifts d min ; d max ð Þ , based on different in-control EANOS EANOS 0 ð Þand ASS 0 combinations.

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“…After that, the synthetic chart appeals much attention due to its efficiency and effectiveness. Recently, a lot of research have been done in the synthetic chart for monitoring the shift in process mean (e.g., Aparisi & De Luna, 2009;Bourke, 2008;Calzada & Scariano, 2013a, 2013bCastagliola & Khoo, 2009;Khoo, Wu, & Atta, 2008;Khoo, Lee, Wu, Chen, & Castagliola, 2011;Khoo, Wong, Wu, & Castagliola, 2012;Machado & Costa, 2014;Scariano & Calzada, 2009;Wu, Ou, Castagliola, & Khoo, 2010;Yeong, Khoo, Zhang, & Castagliola, 2012;Yeong, Khoo, Lee, & Rahim, 2013).…”

Section: Introductionmentioning

confidence: 99%

Optimal design of a synthetic chart for monitoring process dispersion with unknown in-control variance

Guo

Wang

Cheng

2015

Computers & Industrial Engineering

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A side-sensitive synthetic chart combined with anXchart

Cited by 30 publications

References 30 publications

On the Performance of Shewhart-type Synthetic and Runs-rules Charts Combined with an X¯ Chart

On the Performance of Shewhart-type Synthetic and Runs-rules Charts Combined with an X¯ Chart

Side-sensitive group runs double sampling (SSGRDS) chart for detecting mean shifts

Optimal design of a synthetic chart for monitoring process dispersion with unknown in-control variance

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