A variable sampling interval EWMA chart for attributes

Epprecht, Eugenio K.; Simões, Bruno Francisco Teixeira; Mendes, Flávia Cesar Teixeira

doi:10.1007/s00170-009-2390-3

Cited by 52 publications

(18 citation statements)

References 28 publications

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“…Bai and Lee [1] have derived economic design for this chart. Chou et al [9] have also developed economic design of VSI EWMA chart using GA. Epprecht et al [11] have compared performance of VSI EWMA and FSI EWMA control charts for attributes. Wu [19] has worked on optimal inspection policy for VSS control chart.…”

Section: Introductionmentioning

confidence: 99%

Economic design of moving average control chart for non-normal data using variable sampling intervals

Patil

Shirke

2015

Journal of Industrial and Production Engineering

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In this article, we propose an economic design of moving average X control chart for non-normal quality characteristics using variable sampling intervals (VSI) policy. An expression for expected loss cost function is derived for continued and ceased process designs. The performance of two operational modes is compared numerically and the comparison between fixed sampling interval (FSI) and VSI control schemes is carried out. The VSI scheme is found to be superior to FSI scheme. As the number of sampling intervals increases, percentage saving in cost with respect to FSI design increases. The ceased VSI production process shows more saving with respect to continuous VSI production process. Percentage saving due to ceasing increases with increasing shift in the process. Also, the sample size increases with the decreasing values of shift. Overall, the ceased VSI moving average process design seems to be economically superior to other process designs.

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Section: Introductionmentioning

confidence: 99%

Economic design of moving average control chart for non-normal data using variable sampling intervals

Patil

Shirke

2015

Journal of Industrial and Production Engineering

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“…A detailed explanation on the VSI X charts is provided in Section 3. Some recent references on the VSI X chart are [7], [8] and [9].…”

Section: Introductionmentioning

confidence: 99%

A comparative study between the variable sampling interval X and Double Sampling X Charts

Khoo

Yeong

et al. 2016

2016 IEEE International Conference on Control and Robotics Engineering (ICCRE)

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The Shewhart X control chart is a useful process monitoring tool in manufacturing industries to detect the presence of assignable causes. However, it is insensitive in detecting small process shifts. To circumvent this problem, adaptive control charts are suggested. An adaptive chart enables at least one of the chart's parameters to be adjusted to increase the chart's sensitivity. Two common adaptive charts that exist in the literature are the double sampling (DS) X and variable sampling interval (VSI) X charts. This paper compares the performances of the DS X and VSI X charts, based on the average time to signal (ATS) criterion. The ATS profiles of the DS X and VSI X charts are obtained using the Mathematica and Statistical Analysis System (SAS) programs, respectively. The results show that the VSI X chart is generally superior to the DS X chart.

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“…Since then numerous extensions on EWMA charts have been made. Among the more recent extensions on EWMA charts are those by Su et al [2], Graham et al [3], Castagliola et al [4], Tsai & Yen [5], Celano et al [6], Yang et al [7], Lee & Apley [8], Perry & Pignatiello [9], Lin & Chou [10], Pascual [11], Ozsan et al [12], Simoes et al [13], Epprecht et al [14], Khoo et al [15], Li et al [16], Spliid [17], Capizzi & Masarotto [18], and Thaga & Yadavalli [19]. The EWMA X chart is excellent in detecting small persistent changes in the mean.…”

Section: Introductionmentioning

confidence: 99%

A STUDY OF THE MEDIAN RUN LENGTH (MRL) PERFORMANCE OF THE EWMA t CHART FOR THE MEAN

Chin

Khoo

2012

sajie

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The exponentially weighted moving average (EWMA) X chart is effective in detecting small shifts. However, the EWMA X chart is not robust enough to prevent errors in estimating the process standard deviation or a changing standard deviation. To overcome this problem, Zhang et al. suggested the EWMA t chart in 2009. The existing optimal design of the EWMA t chart is based on the average run length (ARL) criterion. This paper proposes that the optimal design of the EWMA t chart be based on the median run length (MRL). The MRL performances of the optimal EWMA X and optimal EWMA t charts are compared. OPSOMMINGDie eksponensiaalgeweegde bewegende gemiddelde (EWMA) X -kaart is geskik om klein verskuiwings te bespeur. Die EWMA X -kaart is egter nie robuust genoeg om foute in die beraming van die proses standaardafwyking of 'n veranderende standaardafwyking te voorkom nie. Om die probleem te oorkom het Zhang et al. in 2009 die EWMA t-kaart voorgestel. Die bestaande, optimale ontwerp van die EWMA t-kaart is gebaseer op die gemiddelde lopielengte kriterium. Dié artikel stel voor dat die optimale ontwerp van die EWMA t-kaart eerder op die mediaanlopielengte gebaseer word. Die resultate van die gebruik van die mediaanlopielengte met die EWMA X -en die optimale EWMA t-kaarte word vergelyk.

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A variable sampling interval EWMA chart for attributes

Cited by 52 publications

References 28 publications

Economic design of moving average control chart for non-normal data using variable sampling intervals

Economic design of moving average control chart for non-normal data using variable sampling intervals

A comparative study between the variable sampling interval X and Double Sampling X Charts

A STUDY OF THE MEDIAN RUN LENGTH (MRL) PERFORMANCE OF THE EWMA t CHART FOR THE MEAN

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