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.

摘要

使用变异系数（CV）的抽样计划由于其对衡量产品质量的重要性而吸引了越来越多的文献关注。当质量特性来自正态分布时，基于变异系数，提出了用于接受批量的通用多相关状态（GMDS）采样计划。拟议计划的最佳计划参数由非线性优化模型解决，该模型使检验所需的样本量最小化，同时满足了给定生产者的风险和消费者的风险。考虑了拟议的GMDS采样计划与两个现有采样计划的比较研究。给出了一个实际的例子来说明所提议的计划。