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.

Keywords and Phrases:

• Average sample number
• Average total inspection
• Consumer quality level
• Markov chain
• Producer quality level
• Resampling scheme
• Skip-lot sampling

Acknowledgements

The authors would like to thank the editor, associate editor, and anonymous reviewers for their valuable comments and suggestions, which significantly improved the presentation of this manuscript. The first author would like to thank the Kalasalingam Academy of Research and Education for providing financial support through fellowship.

Disclosure statement

There is no conflict of interest.