Dispersion chart for some popular distributions under repetitive sampling

In this paper, an attribute control chart using repetitive sampling is proposed when the lifetime of a product follows the Birnbaum-Saunders distribution. The number of failures is to be monitored by designing two pairs of upper and lower control limits. The necessary measurements are derived to assess the average run length (ARL). The various tables for ARLs are presented when the scale parameter and/or the shape parameter are shifted. The efficiency of the proposed control chart is compared with an existing chart. The proposed chart is shown to be more efficient than an existing control chart in terms of ARL. A real example is given for illustration purpose.INDEX TERMS Attribute chart, Birnbaum-Saunders distribution, average run length (ARL), control chart.

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“…For fixed value of f , ARL 1 decreases as g decreases. 4. For fixed value of g, ARL 1 decreases as f decreases.…”

Section: Use Selected K 1 and K 2 To Determine Arl 1 For Various Cmentioning

confidence: 87%

“…Mehmood et al [32] proposed for location using various sampling schemes. Ahmad et al [4] designed a dispersion control chart for some distributions using repetitive sampling. Abid et al [1] used rank set sampling in non-parametric charts.…”

Section: Introductionmentioning

confidence: 99%

An Attribute Control Chart Based on the Birnbaum-Saunders Distribution Using Repetitive Sampling

Aslam

Arif

2016

IEEE Access

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“…Another characteristic of ARL is used for the out-of-control process which should be smaller enough for the efficient control chart scheme and is denoted by ARL 1 . ARL for the evaluation of a better control chart scheme has been used by many authors including [13][14][15][16][17][18][19][20][21][22][23][24]. In practice, however, the observations about the manufacturing process are imprecise, incomplete, uncertain, or fuzzy [25].…”

Section: Introductionmentioning

confidence: 99%

A new sudden death chart for the Weibull distribution under complexity

Arif

Aslam

2021

Complex Intell. Syst.

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This article presents a new control chart for monitoring reliability using sudden death testing under the neutrosophic statistics (NS). The average run lengths of the in-control and the out-of-control process have been determined for evaluating the quick detection ability for small and moderate shifts. For the industrial use, tables and figures have been presented for different parameters. The proposed control chart is efficient in comparison with the existing control chart under classical statistics and value addition in the toolkit of the quality control personnel.

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“…Several basic and commonly used methods for the calculation of the ARL for the exponentially weighted moving average (EWMA) and cumulative sum (CUSUM) charts were reviewed by [24]. Many researchers of quality control charts have used the ARL for the performance evaluation of the proposed charts, including [22,[25][26][27][28][29][30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Control Charts for Monitoring Process Capability Index Using Median Absolute Deviation for Some Popular Distributions

et al. 2019

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A control chart monitoring the process capability index (PCI) using median absolute deviation (MAD) is proposed to analyze the industrial process performance. Extensive simulation studies were carried out to evaluate the performance of MAD-based PCI control charts under the low, moderate, and high asymmetric conditions when the process characteristic follows Weibull, log-normal, and gamma distributions. The performance of the proposed control charts was evaluated based on the average run lengths. The practical implementation of the proposed charts was also illustrated with industrial data.

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Dispersion chart for some popular distributions under repetitive sampling

Cited by 15 publications

References 26 publications

An Attribute Control Chart Based on the Birnbaum-Saunders Distribution Using Repetitive Sampling

An Attribute Control Chart Based on the Birnbaum-Saunders Distribution Using Repetitive Sampling

A new sudden death chart for the Weibull distribution under complexity

Control Charts for Monitoring Process Capability Index Using Median Absolute Deviation for Some Popular Distributions

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