Developing and Optimal Designing of a Two-Level Skip-Lot Sampling Reinspection Plan

Abstract A skip-lot sampling plan is utilized in industries to reduce the cost and the inspection efforts in products having an excellent quality. In the economical aspect, the skip-lot sampling methodology is more advantageous in reducing the inspection cost. The main intention of this paper is to develop a sampling plan by assimilating the concept of resampling with a two-level skip-lot sampling plan (SkSP-2L.2). The new plan is designated as SkSP-2L.2-R, and a single sampling plan is used as the reference plan. The performance measures of the proposed plan are derived using the Markov chain formulation. A table is constructed to select the optimal parameters that are determined by taking into account more than a few combinations of producer quality level and consumer quality level together with respective producer and consumer risks. Execution of the proposed SkSP-2L.2-R plan is discussed with an illustrative example. It is proven by the comparative study that the proposed SkSP-2L.2-R plan has better performance in discriminating the lots with minimum inspection effort when compared to existing sampling plans.