Abstract
In the field of quality control, acceptance sampling plan has been one of the widely used statistical quality tools which provides the producer and the customer a general rule for lot sentencing by satisfying their specified quality and risk requirements. In this paper, we propose a new-type acceptance sampling plan based on the popular used capability index Cpk which is specialized in measuring the required process capability for the producer and the customer. Different from the existing acceptance sampling plans which were developed by using single sampling strategy which is a lot-sentencing procedure in which one sample of n units is selected at random from the lot, and the disposition of the lot is determined based on the information obtained in this sample, we develop the new-type sampling plan by using Two-Stage sampling strategy which requires less sampling and provides one more chance to the submitted lot compared with the traditional single sampling plan. Otherwise, we analysis and discuss the performance of the proposed variables plans compared with the existing sampling plans including single sampling plan and repetitive group sampling plan. The results indicate that variables two-stage sampling plan can be served as an ideal sampling method for quality assurance whether in economically or efficiently. Finally, we not only tabulate the plan parameters for various required quality levels and allowable risks and provided an example for practical applications.