The effectiveness study of Double Sampling s charts application on destructive testing process

Lee, Pei-Hsi; Torng, Chau Chen; Wu, Jhih Cyuan; Tseng, Chin Chung

doi:10.1504/ijpd.2010.036394

Cited by 8 publications

(5 citation statements)

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“…Costa and Machado [4], Khoo et al [5] and Torng et al [6] investigated the DS type charts for monitoring the process mean. Works on the DS S type charts for monitoring the process variance were discussed by He and Grigoryan [7], [8] and Lee et al [9], [10]. Other DS type charts are the joint DS and S chart, proposed by He and Grigoryan [11], for a simultaneous monitoring of the process mean and variance, as well as the DS np chart for attributes, suggested by Rodrigues et al [12].…”

Section: Introductionmentioning

confidence: 99%

“…Hsu [17], [18] claimed that the conclusion made by He et al [14] and He and Grigoryan [7] is questionable since the out-of-control average sample size () is disregarded when comparing the various charts' performances. Accordingly, Lee et al [10] modified the design model of He and Grigoryan [8] to propose the DS S chart which minimizes both the and .…”

Section: Introductionmentioning

confidence: 99%

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Optimal Designs of the Median Run Length Based Double Sampling X̄ Chart for Minimizing the Average Sample Size

2013

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Designs of the double sampling (DS) chart are traditionally based on the average run length (ARL) criterion. However, the shape of the run length distribution changes with the process mean shifts, ranging from highly skewed when the process is in-control to almost symmetric when the mean shift is large. Therefore, we show that the ARL is a complicated performance measure and that the median run length (MRL) is a more meaningful measure to depend on. This is because the MRL provides an intuitive and a fair representation of the central tendency, especially for the rightly skewed run length distribution. Since the DS chart can effectively reduce the sample size without reducing the statistical efficiency, this paper proposes two optimal designs of the MRL-based DS chart, for minimizing (i) the in-control average sample size (ASS) and (ii) both the in-control and out-of-control ASSs. Comparisons with the optimal MRL-based EWMA and Shewhart charts demonstrate the superiority of the proposed optimal MRL-based DS chart, as the latter requires a smaller sample size on the average while maintaining the same detection speed as the two former charts. An example involving the added potassium sorbate in a yoghurt manufacturing process is used to illustrate the effectiveness of the proposed MRL-based DS chart in reducing the sample size needed.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Optimal Designs of the Median Run Length Based Double Sampling X̄ Chart for Minimizing the Average Sample Size

2013

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“…in each stage, accordingly, by using the operational procedure in Figure 2. Lee et al (2010) illustrated a real-life application of the NSSDS 𝑆 scheme using a wire bonding process of packaging, where they showed the effectiveness of the scheme in reducing the cost as it requires fewer samples. Next, He and Grigoryan (2003) presented an improved version of the scheme in without the normality assumption for the sample standard deviation.…”

Section: Variabilitymentioning

confidence: 99%

Double sampling monitoring schemes: a literature review and some future research ideas

Motsepa

Malela‐Majika

Castagliola

et al. 2021

Communications in Statistics - Simulation and Computation

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Adapted from the acceptance sampling field, the double sampling monitoring schemes implement a two-stage strategy to decide whether the process being monitored is in-control or out-of-control. That is, a master sample is split into two separate subgroup samples, with the first subgroup sample used in the first stage and, depending on which type of double sampling method is used, either only the second or the combined first and second, subgroup sample(s) are used in the second stage. This strategy has been proven to effectively decrease the sampling effort and, at the same time, to decrease the time to detect potential out-of-control situations. For these reasons, it has received some attention in the statistical process monitoring (SPM) literature and, in this review paper, all 87 existing publications on the basic double sampling monitoring schemes and other different schemes that are integrated with the basic double sampling schemes are reviewed. The double sampling schemes are categorized and summarized so that any research gaps in the SPM literature can easily be identified. Finally, concluding remarks and some directions for future research ideas are given.

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“…The synthetic DS � chart suggested by Khoo et al [10] significantly improves the detection speed, compared with the synthetic � , DS � , and EWMA � charts -although the detection of small shifts is better accomplished with the EWMA � chart. The most recent literature on the DS S type charts was studied by Lee et al [11,12]. Lee et al [11] found that the DS S chart performs extraordinarily well in detecting the shifts in the process standard deviation and in reducing the sample size of the destructive testing process.…”

Section: Introductionmentioning

confidence: 99%

“…The most recent literature on the DS S type charts was studied by Lee et al [11,12]. Lee et al [11] found that the DS S chart performs extraordinarily well in detecting the shifts in the process standard deviation and in reducing the sample size of the destructive testing process. Meanwhile, the DSVSI S chart was proposed by Lee et al [12] to improve efficiency in detecting small standard deviation shifts.…”

Section: Introductionmentioning

confidence: 99%

The effects of parameter estimation on minimizing the in-control average sample size for the double sampling X bar chart

Khoo

Lee

Teoh

et al. 2013

sajie

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The double sampling (DS) � chart, one of the most widely-used charting methods, is superior for detecting small and moderate shifts in the process mean. In a right skewed run length distribution, the median run length (MRL) provides a more credible representation of the central tendency than the average run length (ARL), as the mean is greater than the median. In this paper, therefore, MRL is used as the performance criterion instead of the traditional ARL. Generally, the performance of the DS � chart is investigated under the assumption of known process parameters. In practice, these parameters are usually estimated from an in-control reference Phase-I dataset. Since the performance of the DS � chart is significantly affected by estimation errors, we study the effects of parameter estimation on the MRL-based DS � chart when the in-control average sample size is minimised. This study reveals that more than 80 samples are required for the MRL-based DS � chart with estimated parameters to perform more favourably than the corresponding chart with known parameters. OPSOMMINGDie dubbelmonster � -beheerkaart, wat grootskaals gebruik word, is voortreflik vir die opsporing van geringe en middelmatige verskuiwings van prosesmediaan. By 'n regsskuinse verdeling van looplengte lewer de mediaanlooplengte (MLL) 'n beter groottewaarde as die gemiddelde looplengte. Gewoonlik word die vertoning van die bogenoemde � -beheerkaart bepaal met geskatte prosesparameters. Die skattings word bepaall op die veronderstelling dat die proses onder beheer is. Aangesien die MLL gebaseerde beheerkaartvertoning betekenisvol beïnvloed word deur skattingsfoute, word dit ondersoek uit minimum gemiddelde monstergrootte. Die uiteindelike resultaat van die navorsing toon dat 80 monsters benodig word vir 'n beter vertoning as die ooreenstemmende beheerkaart vir bekende parameters.

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The effectiveness study of Double Sampling s charts application on destructive testing process

Cited by 8 publications

References 0 publications

Optimal Designs of the Median Run Length Based Double Sampling X̄ Chart for Minimizing the Average Sample Size

Optimal Designs of the Median Run Length Based Double Sampling X̄ Chart for Minimizing the Average Sample Size

Double sampling monitoring schemes: a literature review and some future research ideas

The effects of parameter estimation on minimizing the in-control average sample size for the double sampling X bar chart

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