Designing a multiple state repetitive group sampling plan based on the coefficient of variation. Issue 9 (21st October 2017)

• Record Type: Journal Article
• Authors: Yan, Aijun; Liu, Sanyang; Azam, Muhammad
• Is Part Of: Communications in statistics. Volume 46:Issue 9(2017)
• Page Start: 7154
• Page End: 7165
• Publication Date: 2017-10-21
• Subjects: Coefficient of variation (CV) -- Operating characteristics (OC) curve -- Multiple state repetitive group sampling (MSRGS) plan -- Normal distribution; Mathematical statistics -- Periodicals; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5
• DOI: 10.1080/03610918.2016.1230214
• Languages: English
• ISSNs: 0361-0918

Abstract

ABSTRACT: A multiple state repetitive group sampling (MSRGS) plan is developed on the basis of the coefficient of variation (CV) 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 average sample number required for inspection. The advantages of the proposed MSRGS plan over the existing sampling plans are discussed. Finally an example is given to illustrate the proposed plan.