Economic design of cumulative count of conforming control charts based on average number of inspected items

Nezhad, Mohammad Saber Fallah; Golbafian, V.

doi:10.24200/sci.2017.4037

Cited by 7 publications

(3 citation statements)

References 19 publications

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“…The CCC charts continue to gain acceptance in the monitoring of high‐quality processes. Other studies on control charts for high yield processes can be found in Xie et al, 10 Chang and Gan, 11 Noorossana et al, 12 Wang, 13 Amiri and Khosravi, 14 Acosta‐Mejia, 15 Amiri and Khosravi, 16 Bersimis et al, 17 Fallahnezhad and Golbafian, 18 and Zhang et al 19 For a comprehensive review on control charts for high yield processes, we refer the readers to Ali et al 20 and the references therein.…”

Section: Introductionmentioning

confidence: 99%

A new exponentially weighted moving average chart with an adaptive control scheme for high yield processes—An application in injection molding process

Abubakar

Khoo

Saha

et al. 2020

Quality & Reliability Eng

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Analytical formulae for computing the average time to signal (ATS) value for the exponentially weighted moving average (EWMA) cumulative count of conforming (CCC) chart using the Markov chain procedure are derived, as the performance of this chart is currently studied using simulation in the literature. Additionally, the variable sampling interval (VSI) EWMA CCC chart for monitoring the cumulative counts of items inspected until a nonconforming item is obtained in a high yield process and is developed to increase the sensitivity of the basic EWMA CCC chart. By using the Markov chain procedure, optimal parameters of the VSI EWMA CCC chart in minimizing the ATS value are obtained and provided to facilitate the chart's implementation in practice. It is found that the VSI EWMA CCC chart shows an impressive improvement over the basic CCC, VSI CCC, and EWMA CCC charts. An example using real data from an injection molding process producing micro‐prism array of an optical element is given to demonstrate the implementation of the VSI EWMA CCC chart in practice. The originality of this manuscript lies in the derivation of new Markov chain‐based analytical formulae for computing the ATS of the EWMA CCC chart and the incorporation of the VSI technique into the EWMA CCC chart to boost the out‐of‐control detection speed of the latter.

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Section: Introductionmentioning

confidence: 99%

A new exponentially weighted moving average chart with an adaptive control scheme for high yield processes—An application in injection molding process

Abubakar

Khoo

Saha

et al. 2020

Quality & Reliability Eng

View full text Add to dashboard Cite

show abstract

“…Celano et al [7] carried out the economic design of CUSUM t chart to monitor short production runs. Fallahnezhad and Golbafian [8] introduced a mathematical model based on average number of inspected items for economic design of cumulative count of confronting control charts. However, the economic design of control charts may result in weak statistical features and the managers hesitate to take decisions for using such control charts.…”

Section: Introductionmentioning

confidence: 99%

Designing a risk-adjusted CUSUM control chart based on DEA and NSGA-II approaches (a case study in healthcare: Cardiovascular patients)

Rafiei

Asadzadeh

2020

Scientia Iranica

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Researchers have recently devoted a lot of attention to the development of control charts for monitoring healthcare systems. Accordingly, the purpose of this paper is to design a risk-adjusted cumulative sum (CUSUM) control chart to detect decreasing shifts. The proposed chart is used to monitor the survival times of patients who may be subject to an assignable cause such as human mistakes during a surgery. To this end, risk adjustment is performed to consider the impact of each patient's preoperative risks on survival times using survival analysis regression models. However, using the risk-adjusted CUSUM requires that the chart parameters are determined. Hence, a multi-objective economic-statistical model is proposed and a two-stage solution method including non-dominated sorting genetic algorithm (NSGA-II) and Data Envelopment Analysis (DEA) is implemented to solve the model and obtain the optimal design parameters. The performance of the proposed approach is also studied in a real cardiac surgery center. Finally, to confirm the effectiveness of the proposed multi-objective design, two comparisons with the bi-objective and pure economic designs are made. The results show that the performance of the risk-adjusted CUSUM obtained from the proposed model is better than the two other designs considering statistical and economic properties.

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“…Therefore, the variables sampling plan is usually used when the inspection is destructive or expensive. More details about acceptance sampling plans can be Golbafian [13].…”

Section: Introductionmentioning

confidence: 99%

Implementing new variables RGS plan based on EWMA yield index

Nesaee

Nezhad

2019

Scientia Iranica

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This paper develops a new variables repetitive group sampling plan using the exponentially weighted moving average (EWMA) statistic based on the yield index for the submitted lot. The optimal parameters of the proposed plan are determined under three scenarios based on the average sample number. Average sample number (ASN) is minimized to decrease inspection's cost and time by using the optimization problem for the required quality levels and sundry combinations of producer's and consumer's risks. The comparison study is provided to specify the efficiency of the proposed plan. Furthermore, the proposed plan is presented with an example which indicates its applicability in the industry. The proposed plan is compared with the single sampling plan and repetitive group sampling plan based on the yield index. The upshots are tabulated for various quality levels. The obtained outcomes demonstrate that the performance of the proposed sampling plan is more lucrative than the existing sampling plans in terms of ASN. Keywords Acceptance sampling plan. Exponentially weighted moving average. Variables repetitive group sampling plan. Average sample number. Yield index.

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Economic design of cumulative count of conforming control charts based on average number of inspected items

Cited by 7 publications

References 19 publications

A new exponentially weighted moving average chart with an adaptive control scheme for high yield processes—An application in injection molding process

A new exponentially weighted moving average chart with an adaptive control scheme for high yield processes—An application in injection molding process

Designing a risk-adjusted CUSUM control chart based on DEA and NSGA-II approaches (a case study in healthcare: Cardiovascular patients)

Implementing new variables RGS plan based on EWMA yield index

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