A New Acceptance Sampling Plan Based on Cumulative Sums of Conforming Run-Lengths

In this article, a novel acceptance-sampling plan is proposed to decide whether to accept or reject a receiving batch of items. In this plan, the items in the receiving batch are inspected until a nonconforming item is found. When the sum of two consecutive values of the number of conforming items between two successive nonconforming items falls underneath of a lower control threshold, the batch is rejected. If this number falls above an upper control threshold, the batch is accepted, and if it falls within the upper and the lower thresholds then the process of inspecting items continues. The aim is to determine proper threshold values and a Markovian approach is used in this regard. The model can be applied in group- acceptance sampling plans, where simultaneous testing is not possible. A numerical example along a comparison study are presented to illustrate the applicability of the proposed methodology and to evaluate its performances in real-world quality control environments.