Optimal designing of an SkSP-R double sampling plan

ABSTRACT

In this article, we propose a method of planning and determining the optimum parameters of a SkSP-R skip-lot sampling plan by using the attribute double sampling plan as the reference plan. The SkSP-R plan is a new type of skip-lot sampling plan which has a provision for re-inspecting the submitted lots. The optimal plan parameters of the suggested sampling plan are estimated with the target that the average sample number be minimized and satisfying both the specified producer's as well as the consumer's risks simultaneously. In order to obtain the optimum parameters, tables are also built for different combinations of the acceptable quality level and the limiting quality level in conjunctions with different producer's and consumer's risks. An illustrative example is provided for the implementation of the suggested plan. The advantages of the suggested plan over the existing conventional sampling plans and other existing skip-lot sampling plans are also described.

KEYWORDS:

• Acceptable quality level
• average sample number
• consumer's risk
• double sampling
• producer's risk
• skip-lot sampling.

MATHEMATICS SUBJECT CLASSIFICATION:

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Acknowledgements

The authors are thankful to the editor and the anonymous reviewers for their constructive comments which greatly improved the presentation of the paper.

Funding

This article was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah. The author, Muhammad Aslam, therefore, acknowledges the DSR technical and financial support.