LAUSR

Abstract Acceptance sampling is an extensively used strategy for determining if the quality of a submitted product lots meets the required standards. Several sampling plans were developed based on different strategies to meet this aim and to increase their overall efficiency and flexibility. The repetitive group sampling plan (RGSP) is demonstrated to be an efficient sampling scheme but has its demerits in that the number of times sampled depends on the sampling results and theoretically could be infinite. To overcome this drawback, an adjustable inspection scheme based on one-sided capability indices was developed by setting a limit on total sampling times to the conventional RGSP. The operating characteristic (OC) function and average sample number of the proposed plan are derived based on the exact sampling distribution of unbiased estimators. To determine the plan parameters, an optimization model with non-linear constraints related to quality and risk requirements is formulated, and those under various commonly used settings are tabulated for practical use. The plan's performance is examined, discussed, and compared with alternative conventional plans. Finally, an example is provided to illustrate the applicability of the proposed plan.