Evaluation and optimal designing of a two-level skip-lot sampling plan for resubmitted lots

Abstract

In the quality management system, skip-lot sampling is a prominent beneficial sampling plan concerning the economic aspect since it requires minimum expenses for inspection. This study attempts to propose an innovative sampling plan by assimilating the concept of a resampling scheme in a two-level skip-lot sampling plan of type 3, that is, SkSP-2L.3, and the resultant plan is designated as SkSP-2L.3-R with a single sampling plan as the reference plan. Using Markov chain formulation, the performance measures are derived. The designing methodology is provided to determine the plan parameters of the SkSP-2L.3-R plan to minimize the average sample number by using two points on the operating characteristic curve approach. Tables are constructed to select the plan parameters under binomial distribution and Poisson distribution by considering various combinations of producer and consumer quality levels along with respective producer and consumer risks. An illustrative example is provided to depict the execution of the proposed SkSP-2L.3-R plan. The comparative study substantiates that the proposed SkSP-2L.3-R plan with a single sampling plan as the reference plan has outstanding performance than some other existing plans under binomial and Poisson distributions.

KEYWORDS:

• Skip-lot sampling
• resampling
• producer’s risk
• consumer’s risk
• average sample number
• average total inspection
• Markov chain

AMS SUBJECT CLASSIFICATIONS:

• 60J10
• 62D05
• 62P30

Acknowledgements

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