SkSP-R sampling plan based on process capability index

ABSTRACT

In this paper, we present an optimal designing methodology for the skip-lot sampling plan (SkSP) of type SkSP-R based on the most widely used process capability index (PCI) C_pk. The SkSP-R plan is one of the SkSPs that incorporate the provision of the reinspection concept. In order to design the optimal parameters, we consider both symmetric and asymmetric fraction non conforming cases. Tables are also constructed to determine the optimal parameters by formulating an optimization problem. The advantages of the proposed plan over the existing plan are also discussed. Application of the plan is explained with a real-life example.

KEYWORDS:

• Consumer's risk
• Producer's risk
• Process capability index
• Normal distribution
• Skip-lot sampling.

MATHEMATICS SUBJECT CLASSIFICATION:

• 97K80

Acknowledgments

The authors are deeply thankful to the editor and two reviewers for their valuable suggestions for improving the quality of the paper. The author Muhammad Aslam is indebted to Deanship of Scientific Research, King Abdulaziz University, for providing excellent research facilities.