title: 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 are discussed. Finally an example is given to illustrate the proposed plan.
authors.affiliation: School of Mathematics and Statistics, Xidian University, Xi'an, 710071 Shanxi People's Republic of China.
authors.forename: Aijun
authors.initials: A
authors.lastname: Yan
authors.affiliation: School of Mathematics and Statistics, Xidian University, Xi'an, 710071 Shanxi People's Republic of China.
authors.forename: Sanyang
authors.initials: S
authors.lastname: Liu
authors.affiliation: School of Mathematics and Statistics, Xidian University, Xi'an, 710071 Shanxi People's Republic of China.
authors.forename: Xiaojuan
authors.initials: X
authors.lastname: Dong
keywords: Coefficient of variation (CV); Multiple dependent state (MDS) sampling plan; Normal distribution; Operating characteristics (OC) curve