Abstract
Sampling plans using the coefficient of variation (CV) attract increasing attention by many authors in the literature due to its importance to measure the product quality. A generalized multiple dependent state (GMDS) sampling plan for accepting a lot is proposed based on the coefficient of variation when a quality characteristic comes from a normal distribution. The optimal plan parameters of the proposed plan are solved by a nonlinear optimization model, which minimizes the sample size required for inspection while satisfying the given producer's risk and the consumer's risk at the same time. A comparative study of the proposed GMDS sampling plan over the two existing sampling plans is considered. A real example is given to demonstrate the proposed plan.