Design of Exponentially Weighted Moving Average Scheme for Standardized Means

Razmy, Athambawa Mohamed; Peiris, T.S.G.

doi:10.4038/sljastats.v14i2.6221

Cited by 3 publications

(4 citation statements)

References 12 publications

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“…Besides, Chang et al [20] designed the optimal EWMA chart in order to monitor the process variance shifts. In addition, Razmy [21] offered the EWMA chart the monitors the standardized process variance. Furthermore, Haq [22] proposed two auxiliary information-based charts, symbolized by AIBEWMA1 and AIBEWMA2 charts, that monitor the process variance efficiently.…”

Section: Introductionmentioning

confidence: 99%

New Hybrid EWMA Charts for Efficient Process Dispersion Monitoring with Application in Automobile Industry

Liu¹,

Khan²,

Rasheed³

et al. 2022

Computer Modeling in Engineering &Amp; Sciences

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The EWMA charts are the well-known memory-type charts used for monitoring the small-to-intermediate shifts in the process parameters (location and/or dispersion). The hybrid EWMA (HEWMA) charts are enhanced version of the EWMA charts, which effectively monitor the process parameters. This paper aims to develop two new uppersided HEWMA charts for monitoring shifts in process variance, i.e., HEWMA1 and HEWMA2 charts. The design structures of the proposed HEWMA1 and HEWMA2 charts are based on the concept of integrating the features of two EWMA charts. The HEWMA1 and HEWMA2 charts plotting statistics are developed using one EWMA statistic as input for the other EWMA statistic. A Monte Carlo simulations method is used as a computational technique to determine the numerical results for the performance characteristics, such as average run length (ARL), median run length, and standard deviation run length (SDRL) for assessing the performance of the proposed HEWMA1 and HEWMA2 charts. In addition, to evaluate the overall performance of the proposed HEWMA1 and HEWMA2 charts, other numerical measures consisting of the extra quadratic loss (EQL), relative average run length (RARL), and performance comparison index (PCI) are also computed. The proposed HEWMA1 and HEWMA2 charts are compared to some existing charts, such as CH, CEWMA, HEWMA, AEWMA HHW1, HHW2, AIB-EWMA-I, and AIB-EWMA-II charts, on the basis aforementioned numerical measures. The comparison reveals that the proposed HEWMA1 and HEWMA2 charts achieve better detection ability against the existing charts. In the end, a real-life data application is also provided to enhance the implementation of the proposed HEWMA1 and HEWMA2 charts practically.

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Section: Introductionmentioning

confidence: 99%

New Hybrid EWMA Charts for Efficient Process Dispersion Monitoring with Application in Automobile Industry

Liu¹,

Khan²,

Rasheed³

et al. 2022

Computer Modeling in Engineering &Amp; Sciences

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“…ey demonstrated that their control charts perform uniformly better against the control charts by Crowder and Hamilton [4] and Shu and Jiang [5]. Razmy and Peiris [12] designed an standardized EWMA control chart for monitoring of process dispersion. Later, Yang and Arnold [13] constructed an unbiased EWMA-p control chart for monitoring the process dispersion.…”

Section: Introductionmentioning

confidence: 99%

Efficient Auxiliary Information–Based Control Charting Schemes for the Process Dispersion with Application of Glass Manufacturing Industry

Aslam

Anwar

Khan³

et al. 2022

Mathematical Problems in Engineering

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The hybrid exponentially weighted moving average (HEWMA) control chart is an enhanced version of the EWMA control chart that monitors the process parameters effectively. Similarly, the auxiliary information-based (AIB) EWMA control charts are very efficient for monitoring process parameters. The purpose of this paper is to propose two new control charts for the improved monitoring of process dispersion referred to as HEWMA AIB 1 and HEWMA AIB 2 control charts. A simulation study is carried out to assess the performance of the proposed HEWMA AIB 1 and HEWMA AIB 2 control charts. Average run length, extra quadratic loss, relative average run length, and performance comparison index are used to compare the performance of the proposed control charts against the existing counterparts. The comparisons reveal the superiority of the proposed control charts against other competing control charts, particularly for small to moderate shifts in the process dispersion. Finally, a real-life data set from the glass industry is used to demonstrate the practical implementation of the proposed control charts.

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“…Roberts (1959) was the first person to introduce the exponentially weighted moving average (EWMA) control chart and since then, the EWMA control chart has been well accepted and widely used by practitioners. The EWMA chart is good for detecting small process shifts (Razmy & Peiris 2013).…”

Section: Introductionmentioning

confidence: 99%

“…Shu (2008) extended the adaptive EWMA chart for process location to monitor the process dispersion. Razmy and Peiris (2013) designed the EWMA chart for monitoring standardized process variance.…”

Section: Introductionmentioning

confidence: 99%

A Study on the S2-EWMA Chart for Monitoring the Process Variance based on the MRL Performance

Teh

Khoo

Ong

et al. 2015

JSM

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The existing optimal design of the fixed sampling interval S Reka bentuk optimum carta kawalan EWMA-S 2 selang pensampelan tetap yang digunakan untuk memantau proses sampel varians adalah berdasarkan kriteria panjang larian purata (ARL). Oleh sebab bentuk taburan panjang larian berubah dengan magnitud anjakan dalam varians, maka panjang larian median (MRL) memberi penjelasan yang lebih bermakna tentang prestasi terkawal dan luar kawalan carta kawalan. Kertas kerja ini mencadangkan reka bentuk optimum untuk

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Design of Exponentially Weighted Moving Average Scheme for Standardized Means

Abstract: ABSTRACT

Cited by 3 publications

References 12 publications

New Hybrid EWMA Charts for Efficient Process Dispersion Monitoring with Application in Automobile Industry

New Hybrid EWMA Charts for Efficient Process Dispersion Monitoring with Application in Automobile Industry

Efficient Auxiliary Information–Based Control Charting Schemes for the Process Dispersion with Application of Glass Manufacturing Industry

A Study on the S2-EWMA Chart for Monitoring the Process Variance based on the MRL Performance

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