Performance of a New Time-Truncated Control Chart for Weibull Distribution Under Uncertainty

AL-Marshadi, Ali Hussein; Shafqat, Ambreen; Aslam, Muhammad; Alharbey, A. H.

doi:10.2991/ijcis.d.210331.001

Cited by 10 publications

(6 citation statements)

References 27 publications

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“…Neutorsophical Statistics has been used for the development of new control charts (Aslam et al , 2021; Almarashi and Aslam, 2021; Al Marshadi et al , 2021). As a future work, a control chart for mortality will be proposed considering the Neutrosophic Statistics approach.…”

Section: Limitations and Future Workmentioning

confidence: 99%

A control chart based on Pearson residuals for a negative binomial regression: application to infant mortality data

García-Bustos

Cárdenas-Escobar

Debón

et al. 2021

IJQRM

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PurposeThe study aims to design a control chart based on an exponentially weighted moving average (EWMA) chart of Pearson's residuals of a model of negative binomial regression in order to detect possible anomalies in mortality data.Design/methodology/approachIn order to evaluate the performance of the proposed chart, the authors have considered official historical records of death of children of Ecuador. A negative binomial regression model was fitted to the data, and a chart of the Pearson residuals was designed. The parameters of the chart were obtained by simulation, as well as the performances of the charts related to changes in the mean of death.FindingsWhen the chart was plotted, outliers were detected in the deaths of children in the years 1990–1995, 2001–2006, 2013–2015, which could show that there are underreporting or an excessive growth in mortality. In the analysis of performances, the value of λ = 0.05 presented the fastest detection of changes in the mean death.Originality/valueThe proposed charts present better performances in relation to EWMA charts for deviance residuals, with a remarkable advantage of the Pearson residuals, which are much easier to interpret and calculate. Finally, the authors would like to point out that although this paper only applies control charts to Ecuadorian infant mortality, the methodology can be used to calculate mortality in any geographical area or to detect outbreaks of infectious diseases.

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Section: Limitations and Future Workmentioning

confidence: 99%

A control chart based on Pearson residuals for a negative binomial regression: application to infant mortality data

García-Bustos

Cárdenas-Escobar

Debón

et al. 2021

IJQRM

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“…Further research on the application of TTLT can be observed in the work of Al-Marshadi et al 6 . The authors introduced an ACC utilizing a neutrosophic WD to enhance the monitoring of the process with increased efficiency.…”

Section: Introductionmentioning

confidence: 99%

Control charts using half-normal and half-exponential power distributions using repetitive sampling

Naveed,

Azam,

Khan

et al. 2024

Sci Rep

Self Cite

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This manuscript presents the development of an attribute control chart (ACC) designed to monitor the number of defective items in manufacturing processes. The charts are specifically tailored using time-truncated life test (TTLT) for two lifetime data distributions: the half-normal distribution (HND) and the half-exponential power distribution (HEPD) under a repetitive sampling scheme (RSS). To assess the effectiveness of the proposed control charts, both in-control (IC) and out-of-control (OOC) scenarios are considered by deriving the average run length (ARL). Various factors, including sample sizes, control coefficients, and truncated constants for shifted phases, are taken into account to evaluate the performance of the charts in terms of ARL. The behavior of ARLs is analyzed in the shifted process by introducing shifts in its parameters. The superiority of the HEPD-based chart is highlighted by comparing it with both the HND-based ACC and the ACC based on the Exponential distribution (ED) under TTLT using RSS. The results showcase the superior performance of the proposed HEPD-based chart, indicated by smaller ARL values. Additionally, the benefits of another proposed ACC using HND are compared with the ED-based ACC under RSS, further confirming the effectiveness of the HND-based approach through smaller ARLs Finally, the proposed control charts are evaluated through simulation testing and real-life implementation, emphasizing their practical applicability in real-world manufacturing settings.

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“…More work using the concept of TTLT can be seen in Ref. 12 . The researchers proposed ACC using neutrosophic Weibull distribution to monitor the process more efficiently.…”

Section: Introductionmentioning

confidence: 99%

Control chart for half normal and half exponential power distributed process

Naveed

Azam

Khan

et al. 2023

Sci Rep

Self Cite

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In this manuscript, we construct an attribute control chart (ACC) for the number of defective items using time-truncated life tests (TTLT) when the lifetime of a manufacturing item follows two lifetime data distributions: the half-normal distribution (HND) and the half-exponential power distribution (HEPD). To assess the potential of the proposed charts, necessary derivations are made to obtain the value of the average run length (ARL) when the production process is in-control and out-of-control. The performance of the presented charts is evaluated for different sample sizes, control coefficients, and truncated constants for shifted phases in terms of ARL. The behavior of ARLs is studied for the shifted process by introducing shifts in its parameters. The advantages of the proposed HEPD-based chart are discussed in the form of ARLs with HND and Exponential Distribution (ED) based ACCs under TTLT, showing the excellent assessment of the proposed chart. Additionally, the advantages of another proposed ACC using HND are compared with ED-based ACC, and the findings support the HND in the form of smaller ARLs. Finally, simulation testing and real-life implementation are also discussed for functional purposes.

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Performance of a New Time-Truncated Control Chart for Weibull Distribution Under Uncertainty

Cited by 10 publications

References 27 publications

A control chart based on Pearson residuals for a negative binomial regression: application to infant mortality data

A control chart based on Pearson residuals for a negative binomial regression: application to infant mortality data

Control charts using half-normal and half-exponential power distributions using repetitive sampling

Control chart for half normal and half exponential power distributed process

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