2016
DOI: 10.1186/s40064-016-3087-3
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Designing a multiple dependent state sampling plan based on the coefficient of variation

Abstract: A multiple dependent state (MDS) sampling plan is developed based on the coefficient of variation of the quality characteristic which follows a normal distribution with unknown mean and variance. The optimal plan parameters of the proposed plan are solved by a nonlinear optimization model, which satisfies the given producer’s risk and consumer’s risk at the same time and minimizes the sample size required for inspection. The advantages of the proposed MDS sampling plan over the existing single sampling plan ar… Show more

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Cited by 30 publications
(12 citation statements)
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References 26 publications
(34 reference statements)
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“…The ARL measure for the chart performance is studied by many authors including . The MDS sampling scheme has been utilized in the SPC by many authors including Ahmad et al, Aslam et al, Azam et al, Khan et al, and Knoth …”
Section: Introductionmentioning
confidence: 99%
“…The ARL measure for the chart performance is studied by many authors including . The MDS sampling scheme has been utilized in the SPC by many authors including Ahmad et al, Aslam et al, Azam et al, Khan et al, and Knoth …”
Section: Introductionmentioning
confidence: 99%
“…Followed to this Robab Afshari et.al [4], proposed FMDS for defective items of uncertain proportion and designed the OC curve by using theory of fuzzy mathematics. The quality based coefficient of variation and non-linear optimization model is used to solve the parameters of the developed MDS plan by Yan et al [5]. Based on Bayesian methodology S.Balamurali [6] proposed the MDS plan using Gamma poison distribution.…”
Section: A Review Of the Lecturermentioning
confidence: 99%
“…According to Yan et al [4], the relative measure is called the coefficient of variation (CV). This is the ratio of standard deviation (SD), meaning it has been widely used to measure the relative variation to its mean in a variety of fields.…”
Section: Introductionmentioning
confidence: 99%
“…According to Reference [9], "in certain scenarios, the practitioner is not interested in the changes in the mean or the standard deviation but is instead interested in the relative variability compared with the mean". Due to the wide applications of the CV, several authors have designed sampling plans, this includes a proposed multiple dependent state sampling plan for the CV [4], a proposed CV-based plan for two stage sampling [2], and presenting the designing of CV based planning using the repetitive sampling [3].…”
Section: Introductionmentioning
confidence: 99%